How to calculate square floor meters? - On the capital construction of houses

How to calculate the square of the floor? - Handbook of the Home Master

A manual method of computing how to find out the floor area will take longer than when calculating the already existing building calculator, but it allows you to learn more accurate results.

In what cases do you need to find out the square of the residential premises? Such calculations are resorted when they replace the old floor covering for a new one, they perform a black cigarette board, organize the "warm floor" system, insulate the horizontal overlap of the building or increases its waterproofing, perform redevelopment of the room. If the room has a proper geometric shape, then it is very simple to determine its area. Quite the width of the room multiplied by its length. But what if the room has a non-standard form or is characterized by complex geometry?

What should be measured?

Properly measure the operating parameters of the room, and then correctly draw counts, under the power of a person who does not have sufficient experience in engineering. The main thing is to show accuracy during the work and armed with accurate measuring instruments. The accurate measuring instruments include those that give the final result with a minimal relative and absolute error.

Conduct measurements of floor lengths using the following instruments:

  • Normal mechanical roulette . The most inexpensive measuring device. It is most convenient to work with him together. The formula of the error of the device can be found in GUT 7502, guided by 102-ФЗ dated 06.26.08. Disadvantages of equipment: large inaccuracy, compared with electronic analogues;
  • Electronic roulette . Its work is based on the light beam, in most cases it is a laser beam. Being at one end of the room, it is enough to turn on the device, send the beam to the desired point and the LCD display will appear to the desired object. Unit of measurement can be a meter, centimeter. Modern equipment can calculate the room in electronic mode. Advantages: The speed and accuracy of measurements, the equipment can independently calculate the square of the room, the roulette is convenient to use one person, the measurement accuracy lies within 1.5-2 mm.

Specialists are recommended for increasing measurement accuracy to measure one room parameter, for example, length (measurement unit - meter), 3 times. The results obtained to fold and find the arithmetic average.

We determine the floor area of ​​different geometry

The unit of measuring the area is square meter. The area of ​​the room is roughly determined by the number of square meters that can be put on its floor. However, the geometry of the flooring is not always the right square or rectangular shape, and therefore, square meters in each case are calculated to the use of various formulas.

How to correctly calculate the floor area of ​​the premises of different geometry:

  1. The room having the right geometry in which there is no niches, columns and other protruding or mortise elements of the interior. In this case, you need to measure the length and width of the rectangle or square. Calculate square meters in the formula: S = H * B, where s is the desired area, the unit of measurement of the square meter; h - the length of the room, m; b is its width; in the case of a square room, it is sufficient to build a square, so As the length of each wall in this case will be the same.
  2. The room has a complex geometry. Any complex shape in this case is broken into a few simple. Next, you need to measure the floor area (unit of measurement - square meter) of each part of the room separately and the results obtained are summarized.

If the room has a niche. In this case, the room is divided into simple figures. This is a rectangle of the main part of the room and the rectangle of the niche. Floor area in each case is determined separately and then summed up.

If the room has protruding parts. Determine the length and width of the room (the unit of measurement - meters) without taking into account the protruding parts. Calculate the total area of ​​the room without taking into account the area of ​​columns. Separately remove measurements from the protruding parts and determine their area. From the first result, the area of ​​all subsequent areas of the protruding parts takes place.

If the floor shape has a type of trapezium. In this case, the floor in the room is conditionally divided into two triangles and one rectangle. General square meters of floor indoors are calculated as the total amount of the areas of the figures obtained. And you can use the formula to calculate the area of ​​the trapezoid.

Suppose that two parallel sides of the room is the founding of the trapezium. Non-parallel walls - sides of the trapezium. From the corner between the smaller base of the trapezium and its side to a greater base lowers the line at right angles. It will be the height of the trapezoid. Learn its length (meters).

We also determine the length of the non-parallel sides of the room.

The following calculations are carried out by the formula:

S = ½ (a + b) * h, where

  • S - Square of the desired figure (square meters);
  • a - larger base length, meter;
  • b is a smaller base length, meter;
  • H is the length of the height of the trapezoid, meter.

If the room has one semicircular side. In this case, it is conditionally divided by places on rectangles, separating the part of the room that has a curvilinear side or segment. Next, determine the radius of the circumference. This is done by the formula:

S = π R² where

  • S - Circle Square
  • π - constant value, equalizes 3.14,
  • R - Circle radius.

If the segment is equal to half the circle, then the resulting area, divide to 2, if there is only a quarter of the circle in the room, according to the resulting area, divided by 4.

Source: https://gurupola.ru/ustrojjstvo-rmnt-p/kak-vychislit-kvadraturu-pola-v-pomeshheni.html

How to calculate square meters of floor formula

Tools for calculations

Repairs in the room always requires knowledge of the exact area of ​​the floor, balcony, bathroom, walls. Thus, knowing the size of the area, you can unmistakably buy the right amount of materials, and calmly repair. This article, answer the question: "How to calculate square meters?", And how much you need for this time.

Why make the calculation of the area of ​​the room?

The motive for calculating the area of ​​the room can serve as a variety of factors, but for the most part it is associated with repairs in the room. The most frequent pretext for mathematical calculation is:

  • Planning the work associated with the installation of suspended ceilings when there is a need for knowledge of the amount of material to perform work
  • By installing stretch ceilings, you should also, be aware of, square in order to calculate material resources for repairs
  • Staining and shabby ceiling - no exception and requires knowledge of measurements, because all paintwork works and primers are analyzed by one m2
  • Wallowing the walls of plasterboard also there is a need for knowledge of the area of ​​the wall in the room
  • When workers are hired, for example, to establish a stretch ceiling, their scope will depend on each square meter of your ceiling!
  • Selling a house or, making it up, you need to know how to measure the area of ​​the shelf, walls, ceiling.

How to calculate the floor area?

So, how to calculate square meters? The most simple for the formulation of the field of the floor is a square and rectangular house.

To carry out the calculation of the area of ​​this room, you need to measure the length and width of the room (measured in meters), and then multiply these two numbers to each other, having received the number of interest to us.

This option is not difficult to implement, no rearrangement of the sofa, the cabinet and other furniture is enough - just just, consider the distance. The only problem will be a fireplace (if it is, of course, there is) in this case from the final figure, it will be necessary to subtract s (area) of the fireplace.

Formula: s room = a x b, where a - length, b - width.

Rooms of irregular shape, represent a more complex calculation of the floor. The apartment having a form of a rectangle or a square is called standard, however, if there is decorative changes (arches, niches), then the calculation is more complex, since it requires the calculation of the figures of the part in the room.

A source: https://reminform.com/kak-poschitat-kvadraturu-pola/

How to calculate square meters room floor calculator

A manual method of computing how to find out the floor area will take longer than when calculating the already existing building calculator, but it allows you to learn more accurate results.

When repairing, buying materials you need to know the area of ​​the premises. They say more "quadrature". How to calculate the room area in square meters, which for this you need - we will be considered in the article.

A bit of theory

How to find the area of ​​various figures, passed even in elementary school. It was a long time ago, so "update" information can be useful. We will consider only what can be related to the floor. So, let's start with the simplest - units of measurement.

To calculate the square area in square meters, you will need a pencil, roulette and some knowledge luggage

What is 1 cm² and 1 m²

The area of ​​any figure is measured in square meters or square centimeters. Designation of cm² or m², you can meet writing sq.m, apt. See, square. meters, square. Santimeters and other variations.

What is one square centimeter

One square centimeter is a square square of 1 cm. If you draw such a square, the sides of which are 1 cm, then the shaded part (in the figure is red or blue) and there will be one square centimeter. Accordingly, the square with a side of one meter is 1 m - has an area of ​​one square meter. The same "square square". That is, this is a square floor (or walls) with a side of one meter - 1 m². In one square meter, ten thousand square centimeters: 1 m² = 10,000 cm².

Formulas

This is what concerned the units of measurement and their compliance. But our premises, thank God, more than one square meter. How to calculate the area of ​​the room? How many square meters in it? Usually the room has a rectangle shape, less often - square. It means that it will be necessary to recall the formulas for finding the square of the square and the rectangle.

With the help of very simple formulas, you can calculate the area of ​​the rectangle and square

It is necessary to multiply the length of the side of the rectangle. We get the desired area. Let's practice.

  1. We have a rectangle with sides of 80 cm and 50 cm. Reduce these numbers: 80 * 50 = 4000 cm². This will be its area.
  2. Parties 322 cm and 300 cm. We get: 322 * 300 = 96000 cm².
  3. There is a square with a side of 60 cm. Its area is 60 * 60 = 3600 cm².

In the case of a square, the side length can be raised to the square - it turns out the same thing. But you can not fool your head. It is easier to remember that it is necessary to multiply the parties.

The simplest slumber for calculating the area of ​​the rectangular room.

Translation of square centimeters in square meters

When we deal with hundreds of centimeters, it is more convenient and easier to read in meters. We know that in one meter one hundred centimeters. Let's solve the same examples, but we will translate centimeters to meters:

  1. 80 cm = 0.8 m; 50 cm = 0.5 m. Reduce 0.8 * 0.5 = 0.4 m². That is, 0.4 square meters.
  2. 322 cm is 3.22 m; 300 cm This is 3 m. Now you multiply the figures obtained: 3.22 * 3 = 9.6 m².
  3. 60 cm are equal to 0.6 m. Square area with such a side of 0.6 * 0.6 = 0.36 m².

The numbers are much less, remembering them easier. And if we want to calculate the room area in square meters, we measure it in meters, not centimeters. You can translate square centimeters into square meters. As already spoke, in one square meter contains ten thousand square centimeters.

Square centimeter ratio and square meters

If you have an area in square centimeters to translate it into square meters, the figure should be divided into 10,000. For example:

  • 4000 cm² / 10000 = 0.4 m²;
  • 96000 cm² / 10000 = 9.6 m²;
  • 3600 cm² / 10000 = 0.36 m².

As you can see, everything is simple. It is only necessary to remember the main provisions and calculate the room area in square meters will be completely simple. It will be necessary to pre-conduct measurements, and then take up the calculations.

How to calculate the room in square meters

Calculate the area of ​​the room, often necessary when purchasing materials for construction or repair. For example, some types of floor covering are sold to squares (that is, per square meters). To correctly calculate its number, you need to know the floor area (often they say the square of the room, which is essentially the same thing).

You can find the size of the room Knowing Length and Width

Measurements

We take a tape measure, a piece of paper, pencil and calculator. On paper draw room plan. With roulette, we measure the length of all walls. We carry out measurements at the floor level - if the construction is old, is the likelihood that the walls are "dumped" in one direction or the other. Especially since we determine the area of ​​the floor, so it is more logical to measure close to the walls, but the measuring tape is pulling along the floor.

On the diagram I put measurement. Best in meters. Measurement accuracy - up to centimeter. It will be needed when buying materials that are sold on the route meters - linoleum, carpet or other rolled coatings. To calculate the room area in square meters, such accuracy is also desirable. Although you can, of course, round. But it is better to do this by having received the result.

A source: https://ingener-pto.ru/2019/12/12/kak-vyschitat-kvadratnye-metry-komnaty-pola/

How to count square meters of floor?

A manual method of computing how to find out the floor area will take longer than when calculating the already existing building calculator, but it allows you to learn more accurate results.

  • 1 How to calculate square meters of room: calculation of the area of ​​non-standard premises
  • 2 How to calculate with geometry Square floor meters
    • 2.1 Rectangle and Square
    • 2.2 Triangle and Trapeze
    • 2.3 Circle and semicircle
  • 3 How to calculate square meter carpet
  • 4 1 meter square how to calculate - square meter is how much: how to measure the square of the room yourself
  • 5 How to calculate the apartment area?
  • 6 How to calculate square meters of walls, floor, room, apartments?

Everyone who started the repair faces the need to count when buying an exact number of building materials.

In order not to overpay and not detect a shortage, you need to know how to calculate square meters of room, walls, floor, ceiling.

Everything is simple enough, but difficulties may arise with the calculation of the area of ​​non-standard premises. How to calculate the area of ​​the room in square meters? Formulas with examples further.

How to calculate the square meter of the wall?

Armed with a tape measure, a calculator and notepad, you can start from the simplest - the count of the square of the wall (the ceiling, floor - it does not matter if this is a rectangle, counting the same).

It is measured width and height to the ceiling. It can even be seen on the eye that the premises are not perfect angles.

Then it is necessary to perform measurements in several places - for example, remove the height from one side of the wall and on the other.

If the numbers turned out different, the arithmetic average is calculated (both indicators are folded and divided by 2).

To find out the number of square meters, you need to multiply the length to the height of the wall. For floor - long width.

  • Example: Width of the wall 3.6 m, height - 2.9 m.
  • The area of ​​such a wall will be 3.6 x 2, 9 = 10.44 m2.

The calculation is done for each wall, and the results are folded.

Calculation of square room

How to calculate the room square square meters?

Not always, the room is the right rectangle. There may be a mass of special cases. Consider some of them.

Floor and ceiling in a room with a storage room, an erker, niche, etc.

How to calculate the square meter of the floor? The main principle of this: the total area must be divided into separate parts so that simple figures come out, and to calculate the quadrature for them separately, and then fold all the results.

Example. The room was combined with a balcony and made a warm loggia. It is necessary to calculate the floor area for the total room:

  1. The length and width of the large room is measured (for example, 5 m by 6.7 m).
  2. The results are variable (5 x 6.7 = 33.5 m2).
  3. The length and width of the loggia is measured (for example, 2.1 m per 1.4 m)
  4. The results are variable (2.1 x 1,4 = 2.94 m2)
  5. The first result and the second result are folded (33.5 + 2.94 = 36.44 m2)

Similarly, if you need to add the area of ​​other premises and elements.

Wall, excluding windows, doors; floor excluding oven

Windows, doors, the furnace is also rectangles whose quadrature will need to count separately. The only difference is that from the total area, these indicators will need to subtract.

Example. On the wall there are two identical windows. It is necessary to know how much material will go to the walls of the wall without taking into account windows:

  1. The length and height of the wall is measured (for example, 2.5 m x 4.5 m).
  2. There is a total quadrature of this wall (2.5 x 4.5 = 11.25 m2).
  3. The height and width of the window along the edge of the frame (90 cm (0.9 m) by 1.3 m) is measured.
  4. There is a window area (0.9 x 1,3 = 1.17 m2).
  5. We have two windows, therefore the digit doubles (1.17 x 2 = 2.34 m2).
  6. We subtract the area of ​​both windows from the total quadrature of the wall (11.25 - 2.34 = 8.91 m2).

Similarly, if you need to eliminate the door or other elements from the area (radiators, fireplaces, furnaces or even furniture).

Round (and semicircular) Heavy ceiling elements, windows, columns, heating boilers, etc.

In some cases, you can find out the diameter (and therefore radius), simply by applying a roulette, as in the case of the elements of the suspended ceiling and windows. Then the formula of the area of ​​the circle on the radius will be like this:

S = πr2

  1. With the help of a tape measure, we measure the diameter of the window (for example, 80 cm).
  2. We divide the diameter in half, learn the radius (80: 2 = 40 cm, or 0.4 m).
  3. Calculate the area. π Always = 3.14. (3.14 x 0.42 = 3.14 x 0.16 = 0.5024 m2).

If the diameter simply cannot be measured, such as, for example, with a column or pipe, it will be necessary to measure the circle.

The formula of the area of ​​the circle along the circumference length:

S = L2:four π

Example. There is a column. You need to find out the floor area in the hall without it:

  1. The length and width of the room are measured, its area is located (for example, 19 m2).
  2. Roulette is measured the length of the column circle (for example, 88 cm, or 0.88 m).
  3. According to the formula, the column area is calculated (0.882: 4π = 0.7744: 4x3,14 = 0.7744: 12.56 = 0.62 m2.
  4. From the square of the room, the area of ​​the column (19 - 0.62 = 18.38 m2) is subtracted.

In the case of a semicircular element, we also do, but at the very end divide the result by 2.

Example. It is necessary to know the area of ​​the window with a semicircular (arched) riding:

  1. The width is measured, and the height of the rectangular part of the window (for example, 1.1 m per 1.4 m).
  2. The area is calculated (1.1 x 1,4 = 1.54 m2)
  3. The diameter of the circular part will correspond to the width of the window (we have 1.1 m).
  4. Radius is half a diameter (1.1: 2 = 0.55)
  5. There is a circle area (3.14 x 0.552 = 3.14 x 0.3025 = 0.95 m2).
  6. The area of ​​the semicircle (0.95: 2 = 0.475 m2).
  7. There are areas of the rectangular part of the window and semicircular (1.54 + 0.475 = 2.015 m2).

Similarly, you can calculate the area of ​​the doorway with the arch.

How to calculate the square of the curvilinear room?

Sometimes in the rooms one of the angles "cut" or the wall goes at an angle. Then the same principle of dividing complex figures is valid for simpler, but some of them will be triangles.

In difficult tasks, a good drawing is half of the success. Make a room plan, which will help "share" the room on paper, and not in the mind.

Beveled corners in the room

In fact, such a room is a rectangle, from which the triangle is "cut". Finding the area of ​​this triangle, and deducting it from the total quadrature, the area of ​​the room will remain.

The area of ​​the triangle is located by the formula:

S = AB : 2.

Where A and B are nuts, or parties perpendicular to each other.

The beveled part is hypotenuse that is not required for computing.

  1. To learn "a", the width of the wall is measured, where the section begins, and then the opposite wall is the difference between them (for example, the beveled wall is 1.7 m, and the opposite 3 m, which means "a" = 1.3 m) .
  2. Similarly is "B", only the lengths of the room are compared (for example, 5 m and 3.6 m. Calculation: 5 - 3.6 = 1.4 m).
  3. The area of ​​the "cut" triangle is calculated (1.3 x 1,4: 2 = 1.82: 2 = 0.91 m2).
  4. According to previously made meters, if the rooms were rectangular, its dimensions would be 5 m per 3 m. And therefore, the quadrature is 5 x 3 = 15 m2.
  5. From the total quadrature, we subtract the triangle area (15 - 0.91 = 14.09).

So, to calculate the area of ​​anyone, even the most difficult room, if you crush it on simple figures and remember several formulas from the school course. Remember that it is necessary to round up so that there remains overwhelming materials, and indeed 5 - 10% of the spare material should always be kept at hand.

on the topic

Source: https://microklimat.pro/uteplenie/kak-vyschitat-kvadratnye-metry-komnaty.html

How to calculate with geometry Square floor meters

The need for the right definition of the area of ​​the room or apartment may occur in different cases. Most often it is necessary to do during the sale or repair, as in the first case, the price of an apartment directly depends on this, and in the second - the number of building materials that need to be calculated for repair.

With all sorts of redevelopments, you will also need the exact size of the room for drawing up the plan. When buying or ordering furniture, these sizes are also needed to ensure all selected interior items in the existing living space.

When repairing, square meters are critical in the case of all the work on the floor replacement: when installing the screed, the replacement of parquet, thermal insulation, installation of a system of warm floors or liquid linoleum. Historically, geometry developed thanks to the need for people to measure the plots of land they received in their property or sold.

With the help of geometry, it is possible to calculate the area of ​​any figure, including polygons and trapezoids. Geometrical formulas and techniques are used and when measuring the square of the floor in the apartments.

Rectangle and square

The easiest and painless case is a rectangular room. This also includes a square option, as the square, in fact, is a special occasion of a rectangle with equal parties. Before measuring, you need to free the room from the items that are blocked by the walls (cabinets, beds).

Then, with the help of a roulette, measure the length and width of the room, put them in the notebook and multiply. The resulting number will be the required number of square meters. In the case of a square room, it is enough to measure one wall, and then build a square (multiplied by yourself).

A source: https://mscwatch.com/kak-schitat-kvadratnye-metry-pola/

Calculator Square wall

A manual method of computing how to find out the floor area will take longer than when calculating the already existing building calculator, but it allows you to learn more accurate results.

Good repair requires accuracy. Before purchasing materials, conduct special calculations of the area of ​​certain surfaces, so that the materials are enough and there is no longer left. Calculator Square wall facilitates work. It allows you to quickly get accurate calculation and to slow down to repaid it.

You can calculate the area of ​​the houses at home either online or manually. The second option is more time-consuming, but accurate and suitable in case there is no access to the Internet for one reason or another. For calculations, it will be necessary:

  • pencil or pen;
  • paper sheet;
  • calculator;
  • Long line;
  • level;
  • roulette.

Important!

Knowing the exact area of ​​the walls and premises, you can purchase the desired number of building materials required for repair. The area is measured by square meters and denote M2.

The paper drawing is made on paper, windows, doors, niches, all ledges are designated. And as the measurements are made, they are applied to the drawing.

How to calculate the area of ​​the room?

Most often the walls in the rooms are simple, rectangular shape. To count their area there are two light formulas:

S = p x H,

P = (a + b) x 2.

Where,

  • S - area;
  • P - perimeter;
  • h - surface height;
  • A - width of the room;
  • B - the length of the room.

Interesting!

The technical passport of the room usually indicates the area and perimeter, both the entire premises and individual rooms. So you can clarify this data there.

First, the width and the length of the placement of plinths is measured. Height is usually measured in the corner. For example, if a = 6 m, b = 5 m, h = 3 m, then p = (6 + 5) x 2 = 22 m. After that, the area can be found:

S = 22 x 3 = 66 m².

Square walls with a complex surface

Often there are many different elements in the premises that complicate the counting area. So if the walls are not rectangular or there are different additional details, you need to use another way of calculating the area of ​​the house.

  1. Square of walls at home with deduction of doors and windows.

Doors and windows are usually subtracted from the total area, because they do not flow the material. But how to calculate the area of ​​the walls without them?

First, the width and height of the windows and doors is measured.

The formula for surface area - s = a x h.

If the windows width is 1 m, and the height is 1.5 m, then S = 1 x 1,5 = 1.5 m². With the width of the door 0.9 m and height in 2 m we obtain S = 0.9 x 2 = 1.8 m². Now you need to take away from the total area, the area of ​​windows, doors and the area is obtained without them. I.e,

S walls = 66 - 1.5 - 1.8 = 62.7 m² (if you use the walls of the walls received in the previous paragraph).

  1. If the room is non-standard design.

When the room has a non-standard form, the calculation of the area of ​​the walls is carried out a little differently. First, the area of ​​each wall is considered separately.

S = a x b, where, and - Width of the wall, B is the height of the wall.

If there are columns, protrusions, their area is also measured, and then all these areas are summed up. That is, the final formula is S = S1 + S2 + S3 + S4, etc.

Important!

In rare cases, the geometric parameters of the walls are absolutely correct. So for the most accurate calculations it is worth making measurements in several places, and then remove the arithmetic average and to use it in the formulas.

  1. If there are round elements in architecture.

Rooms with round or semicircular walls are not uncommon. To calculate their area, another formula is used. First of all, their perimeter is measured. To do this, multiply the diameter of 3.14 (the number Pi, π). And then the area is already calculated by the formula:

S = p x H, where, H is a height.

When you need to deduct from the total square of round objects, you need to calculate the area of ​​round surfaces and simply take them. But, if there is no possibility to extinct diameter or radius, then measure the length of the circle (P) and the area is considered, using the formula S = p² / 4 π.

  1. Area with triangular elements.

Triangular walls can be, for example, in the attic or in the case when complex designs are used on the ceiling or architectural decorations on the walls. Depending on the type of triangle, you can use different formulas.

  • A versatile triangle: S =, where, and - the basis of the triangle is the lower side, and H is the height from the floor to the upper corner.
  • Rectangular triangle: S =, where, and is the height of the triangle, and B is the lower, horizontal side.
  • Equipient triangle (correct): S =, where, and - side of the triangle.

Calculator for calculating the area of ​​walls in square meters (m2)

If there is no time for calculations, you can use special programs for counting. Calculator ONLINE SCALE - fast, reliable way to get accurate data. This will require only access to the Internet and a couple of free time. The data in the square calculator is entered by accurate so that the outcome calculation was correct, the values ​​obtained are displayed in square meters.

A source: https://evmaster.net/kalkulyator-ploshhadi-sten.

How to count the floor area: detailed guide and calculator

A manual method of computing how to find out the floor area will take longer than when calculating the already existing building calculator, but it allows you to learn more accurate results.

Repair of the floor in an apartment or house requires an accurate calculation of the number of M2 in each room. Due to the fact that today building materials - the goods are quite expensive, everyone who has started repair, is trying to save as much as possible on materials. If you do not know how to correctly calculate the area of ​​uneven sex, which has non-standard dimensions - this article will tell you about it.

What can the calculations come in handy?

For what you need to count the area of ​​the floor:

    • To buy the required amount of materials,
    • Save on buying outdoor coverage,
    • In order to determine the amount of residential in the room,
    • After building a house to determine compliance with the plan,
    • When repairing, to determine the size of future furniture, etc.,

The reasons why you need to calculate the area of ​​the room are a set, there are several solutions.

Floor Square Calculation

If the standard room (square or rectangular), then each can calculate the area of ​​this room. To do this, you need to find out the width and the length of the room, after which it simply multiply these indicators.

Thus, the formula will look like this: s = a * b, where, and b is the length and width of the room.

If you are counting on the area of ​​the ceiling room, then the built-in wardrobes or fireplaces will not affect the area measurements.

In case you are going to install a fireplace or install the built-in wardrobe, then the area it will occupy, it is necessary to calculate on the basis of the estimated size of the design and the total size of the room.

Conduct accurate measurements of premises in which there is a built-in furniture, it is necessary if you plan to lay the floor covering. If the fireplace or chest occupies not a lot of space, it can be neglected if there is a lot - the design for a while you can disassemble or calculate how much space it takes.

How to calculate the floor area with incorrect sizes?

If the room has non-standard dimensions - the calculation of the floor area will occur a little longer and more difficult. There are many reasons for which the room may have non-standard forms, for example, a niche in the bedroom or a built-in wardrobe. It is worth noting that the way to find the area of ​​non-standard floor can still be. To do this, it is necessary to smash the room into small geometric shapes, such as triangles, squares, rectangles, etc. Of course, there are many other ways to calculate the area of ​​the floor, but with the help of this method - it is much easier.

After the room is divided into geometric shapes, you can easily recognize their area, moving the side one to another. After all the calculations, the area of ​​figures must be folded, so you can find out the exact area.

Among other ways, how can I calculate the floor area, it is enough to see the living area and the total area in the house book, if there is no house book - in the plan of the developer.

How to calculate the area of ​​the room in which there are beveled corners?

Calculate the area of ​​the room in which there is a beveled angle - just enough, for this you need:

  • Calculate the sides of the triangle,
  • Calculate the area according to the formula S = (A * B) / 2. In this case, a and b - triangle catts.

If the triangle is not direct, then it is possible to calculate its area with the help of the Geron formula.

Calculator Calculating Square

There are many ways to find the floor area, one of them is an online calculator that will allow you to quickly and reliably calculate the area of ​​any room. You just need to make measurements in a special table.

Advantages of the Calculator Calculation of Square:

  • The ability to calculate the area of ​​any geometric shape,
  • No need to calculate yourself
  • Speed ​​and accuracy of calculations.

Square Calculator Calculator is the optimal solution to the question, how to quickly calculate the floor area of ​​the room.

How to calculate the required amount of tile

In order to find out the required amount of tiles required for laying in a room or another, it is necessary to find out the area of ​​the room. How to quickly find the floor area of ​​any room - described above. After the area is calculated, it is necessary to find out the area of ​​1 tiles from the selected collection. After that, you need to calculate how many tiles are necessary for laying it in the room.

  • Room Square: 20 m2,
  • Tile dimensions: 0.2 x 0.4 m,
  • Area 1 Tiles: 0.08 m2,
  • Required tiles: 250.

In this way, you can find out the number of required tiles. In the same way, you can calculate the required number of parquet board or laminate. It is worth noting that in some cases the number of necessary materials depends on the pattern, which will be performed on the floor surface.

In order to correctly calculate the floor area - it is necessary to know the geometric formulas or be able to use the online calculator.

Data on the floor area can be found from the house book. Rooms that have a complex geometric shape is easiest to count with the help of dividing them into small geometric objects.

You can find the area of ​​the semicircular surface using formula: S = πr2 / 2 - the radius of the circle.

In order for the floor material to do not have to buy more - add to the required number of 10%. If you correctly calculate the required amount of materials - you can fully and reliably put any floor covering.

How to count the floor area: detailed guide and calculator Detailed guidance and examples, how to calculate the floor area in the apartment. Practical purpose of calculations. Their is the simplest execution.

Source: POL-INFORM.RU.

Most accurately calculate the land area of ​​the land can be analytic method. The accuracy of this method is determined by the fact that only errors of field measurements affect it. Simple geometry formulas are used for sections of a simple form.

For sections with a more complex form, calculations are made by coordinates of turning points, and for examples of complex areas, programs are used, the source data for which are the angles of azimuth points.

Definition of Square

There are several ways to determine the area of ​​land plots:

The most accurate of these methods is analytical . This is due to the fact that when using the results, only field measurement errors affect the accuracy of the results, while the error or card errors are influenced by the two other methods.

A source: https://postrifundament.ru/raschet-ploshhadi.html

Square meter is how much: how to measure the quadrature of the room yourself - formulas to help

A manual method of computing how to find out the floor area will take longer than when calculating the already existing building calculator, but it allows you to learn more accurate results.

When carrying out repair work, the question arises: a square meter is how much materials needed to cover it.

In order not to spend extra money, it is better to start the calculation of square meters of the room and only then go to the store with specific requirements.

On packages with paints, plaster, primer is necessarily marked, on which room size is calculated by a given amount of the mixture.

The main question is how much packages or cans are needed to have enough wall or floor area.

What is a square meter

First you need to decide what is a square meter. People who were poorly taught in school mathematics, they still easily or later face the problem of counting the number of building materials. therefore Square meter is the main point of reference when determining the area of ​​the room.

If you draw a square (this is a geometric shape with the same sides), and the side will be 100 cm, then when multiplying is 100, we obtain the number of 10,000 cm. This means that the size of this figure is 10000 cm2. It is possible easier. Calculate in meters: 100 cm is 1 m. We apply the area counting formula - we turn two sides, then we multiply on 1, we get 1 m. So, the size of the square is 1 sq.m.

Square meter counting tools

For calculations, it is necessary to prepare a calculator.

If it is not, then the multiplication table on the usual notebook for the first grader.

If the walls have no 2, not 3 meters, but, for example, 2.5 meters, then it is better to still a calculator. This is too complex load for the brain, which is not used to working with numbers.

It is advisable to have a piece of paper on hand and handle for recording.

It is necessary to measure with a roulette or centimeter.

Square meter counting formula

To calculate the area, it is necessary to apply the formula of the square meter A x b, where the number A is the length of one side, and the number B is the length of the second side. They may be the same if the floor or wall shape or wall.

Most often it is not square, but rectangular, that is, the number A will have one value, and the number is another. They will need to multiply in the mind, or on the multiplication table, or on the calculator. And the resulting number will be an area that will need to cover the paint or something else.

!Sometimes you need to know how the size is calculated correctly. How much is 1 4 inches in mm? This can be read about this in our article.

It happens that the shape of the floor is not standard, but, for example, trapezoidal. Then it is more difficult, especially to people who do not know what a triangle is (this is also in nature). To calculate the size of the trapezion, it is necessary to calculate first the area of ​​the rectangle in the middle, then the magnitude of each triangle on the sides , then lay these three numbers. Is it no easier to immediately call the brigade of workers? Let them think how to calculate square meters of room.

Important! If misunderstanding appeared at this stage, it is better to immediately call the teacher of mathematics and ask to calculate how many square meters. Meters has room.

Floor area or ceiling

The ceiling and the floor in an ordinary apartment are the same. How to calculate square meters? Very simple. If the indoor indoor, then there is no ceiling there - there are only gender and walls.

Stage # 1. Measure the length of the room and write the resulting number on paper. If the number is integer, then we write just a digit. For example, 5 (m). If the number is greater than 5, but less than 6, then you will have to recall the decimal fractions and write, for example, 5.5 (m).

Stage # 2. Measure the width of the room and record similarly. For example - 3m.

Stage No. 3. Now it is necessary to multiply these two numbers. Example: 5 x 3 = 15m. So, the floor area is 15 square meters. Consequently, the ceiling size will also be 15 square meters. m. Record this number separately and break the handle.

Square Solid Wall

How to calculate the quadrature of a solid wall? Just as we measured the floor or ceiling. The algorithm of action is the same as when counting the size of the floor:

  • Measure the length of the wall and write;
  • Measure height;
  • Multiply two numbers - the result obtained and will be square meters.

Example: Height of 2.20 m, length 7m. 7 x 2.2 = 15.4 m. Wall area - 15.4 square meters. m.

How to calculate square meters wall with window

It will be more difficult to deal with the wall on which the window is located.

In this case, it is necessary to separately calculate the size of the wall, separately - the size of the window. Then, from the larger area, deducting smaller. It turns out the number of square meters, which will need to be covered with paint or plaster.

Algorithm of actions:

  1. The scenario has already passed to calculate the wall size. Let the known number be the already known number - 15.4 m2.
  2. Next, measure the height and length of the window. Multiply numbers. For example: length 1.5 m, height 1.2 m. If multiplying, then it turns out 1.8. So, the area of ​​the window is 1.8 square meters. m.
  3. We take the area of ​​the wall and deduct the size of the window: 15.4 - 1.8 = 13.6. The area that will need to be put in order - 13.6 square meters. m.

Important! Figures that are obtained when calculating, be sure to record and circuit with a handle so as not to be lost in our own calculations.

How to calculate square meters wall with door

Similarly, it is necessary to produce when you want to calculate square meters of walls with a door. If the door from a mathematical point of view is a simple rectangle, then we calculate its area along the usual formula A x. That is, it is necessary to measure the height and length, then multiply multiplies and the size of the door.

Next, from the area of ​​the wall, we subtract the size of the door and get the square to which the finishing materials will need to be bought. If the previous owner of the apartment made the door with the arch, then here without calculating the size of the circle can not do.

Measure the area of ​​complex shapes

Circle and triangle - complex figures for self-calculation . How to measure square meters of circumference, if there is no mathematical or engineering education? Again, according to the formula.

How to measure the size of the circle

There is a formula for calculating the area of ​​the circle. There is such a constant number - the ratio of the length of the circumference to its diameter. It is equally for all sizes of the circle. It is called pi and equals 3.14. This is the number and use when counting.

Stage No. 1. Measure the diameter (this is a line that passes through the center of the circle from one edge of the circle to another). Let the diameter be equal to 3 m. Next, we find the radius - this is half the length of diameter. That is 1.5 m. We write down the radius on paper.

Stage No. 2. We produce calculations according to the formula S = PR2, where S is the area of ​​the circle, P is a constant number, and R is the radius of the circle. It turns out 3.14 x (1.5 x 1.5) = 7, 065. The area of ​​this circle is 7,065 square meters. m.

But this is the area of ​​a whole circle. Arch over the door is half a circle. So, you still need to divide the number of two and further add to the rectangular area of ​​the door. 7,065: 2 = 3.53 m2.

How to measure the area of ​​the triangle

If the previous owner of the apartment was a mathematician, he could well do triangular shapes on the ceiling, which have to restore and allocate other color or plaster. You have to consider not to overpay.

The calculation of the square meter in the triangular figure begins with a careful inspection of this figure.

It is necessary to find the base of the triangle, that is, the line on which the other two (as the roof is on the house). Next, spend a line from the opposite top to the base. These two numbers record.

Stage No. 1. To divide the base of the triangle to 2 and write down. This number will come in handy in the near future. Measure the height and also write.

Stage No. 2. Calculate M2 Figure. To do this, it is necessary to use the formula: S = 0,5Ah, where S is the area of ​​the triangle, and the basis, and H is the height. Example: base 3 m, height 2.5 m. Total: 0.5 x 3 x 2.5 = 3.75. Triangle size - 3.75 m2. Record not to forget.

Tips and recommendations

In this way, you can calculate the area of ​​the apartment and paint, which and what color to paint. The dimensions of all walls and the ceiling are folded - the number will be on which it will be necessary to navigate when buying building materials.

Tip! When calculating it is better to invite another person to help. One head is good, and two more reliable.

The case is for small - go to the store and buy materials. Here you still have to consider, since not all packages are designed for large rooms. For example, the ceiling size in the kitchen 3 x 3. How many square meters of plaster will need if one package can be covered with 3 square meters. m? We believe: the size of the ceiling is 9 square meters. m. One package takes 3 square meters. Consequently, there are 3 packs for the whole ceiling.

If the package says that consumption is 12 square meters, it means how much material it is necessary to cover the wall with a size of 3 x 4 m.

Or another example. Wall in the apartment 6 at 4. How many square meters need to be painted? We multiply 6 to 4, we get 24 square meters. This is how much paint cans are 3 liters, if each bank is spent by 6 square meters. m? We believe: 24 Delim on 6. It turns out 4. So you need to buy 4 three-liter cans of paint to cover the entire wall.

For repair work, it is always better to take a little more materials so that later not to go back to the store. In the future, if you have something to cut or pick up, the remnants of the materials can be healthy.

on the topic: square meters indoors

A source: https://stroim.guru/polezno-znat/kvadratrij-metr-eto-skolko.html

How to calculate square meters of the floor with different shapes

A manual method of computing how to find out the floor area will take longer than when calculating the already existing building calculator, but it allows you to learn more accurate results.SH: 1: -Format = HTML: NOT FOUND

In this article we will tell How to calculate square meters of gender with different shapes of rooms. Usually, obtaining this data is required before performing repair work. Experienced masters can usually determine the area of ​​the room. But the owners themselves do not always understand how to do it, especially if the room has non-standard forms. Square and rectangular rooms are simply calculated, and more complex forms already require major calculations and understanding of the principles of measurement. Square measurement must be most often for determining the volume of purchased materials.

Geometric calculations

From the school year of geometry, we know: the calculation of the area in different figures is made in different ways. Therefore, in this case, you need to proceed from the form of the room or its individual parts.

Simple figures

These include square or rectangular rooms. The area is calculated on this principle: S = A × b. A and B here are two adjacent rooms of the room. Accordingly, you measure the length of two walls, after which you multiply and get the required number.

A little more difficult to calculate the area of ​​the trapezoid. Here the figure is broken so that there are several simple elements - a rectangle and two triangles with straight corners. Each, accordingly, the area is determined, measuring the parties. Definition of a triangle area Consider further.

Area of ​​a triangle

Calculate the floor area having a triangle shape will not be difficult. There will also be knowledge of the formulas from school. The area of ​​the rectangular triangle is equal to half the work of her cathets. That is, the formula looks like this: S = (A × B): 2. The same formula is suitable for determining the area of ​​the trapezium, at which the rectangle indicator is separately found out and separately - one / two triangles on the sides, depending on the specific figure.

To determine the area of ​​non-standard versatile triangles, the knowledge of trigonometric formulas is already needed. But in the context of construction, such formulas usually do not apply. In the extreme case, special computing devices are applied. With a braid rectangle, the area is calculated as in the case of a trapezium. Then it is calculated according to the above formula, and then all the obtained area of ​​figures are folded.

The area is determined by the area in the premises where the floor takes the form of an incorrect or complex shape. The surface is conditionally divided into several simple parts, and then determine them according to the corresponding formulas. The figures are simply folded. Rooms where there are rounded walls, erkers, amenable to more complex calculation methods.

It is better in this case to use the documentation of developers, where there are accurate numbers. If there is no, it is necessary to use special measuring electronic devices.

Area of ​​a circle

If neither documentation or special devices for measurements are not, then you will have to spend a few more calculations. When it is necessary to figure out the floor area Round or semicircular shapes, usually resort to the following calculations. A sufficiently simple formula is used: S = π × R2. Moreover, the number π = 3.14, and the radius is a line from the center of the circle to its edge, that is, half of the diameter. If the semicircled area is needed, then the resulting number of complete circle is divided into two.

Application in practice

Naturally, it is not always enough to know the calculations. It is necessary to correctly carry out measurements and use the data obtained when calculating the desired floor surface indicator. For this you need:

  • Perform measurements of rectangular rooms with the right sides. Their area is determined by multiplying according to the corresponding formula indicated earlier.
  • Next, the kitchen is measured, which often can have special niches.

Sometimes, when measuring measurements may occur in the form of hard-to-reach places or furniture. Then you can measure the ceiling or wall. The only condition so that it is done strictly horizontally semi.

When there are several simplified figures in the form of rooms in the form of rooms, then the figures found are folded and rounded to thousandths (this is done in the biggest). After receiving all the necessary parameters, you can already begin to determine the value of the material component of the repair and works of masters

When purchasing in stores, materials usually indicate the cost per 1 sq.m. Therefore, having received the desired numbers, you can go buy everything you need. But it is worth considering that some finishing materials like a tile, plinths and other elements sell strictly on a lot. Therefore, it is necessary to round when buying will have to the side of a larger metrah, so as for the entire floor.

Buying the same polymer composition or cement in the floor store, it is worthwning to the sellers, which expense will be allegedly 1 sq.m.

Conclusion

Now you were able to make sure that the appropriate calculations are not so difficult. The main thing in them is the correct measurements of the corresponding values. After that, you can easily determine not only the area of ​​the room, but also the volume of consumable materials on construction work.

A source: https://zen.yandex.tm/media/id/5e6fb086e5fa715ea9118e17/kak-poschitat-kvadratnye-metry-pola-pri-raznoi-forme-komnat-5e6fb2a58cd2837a6596e6ce?feed_exp=ordinary_feed&from=channel&rid=268601698.544.1588044756057.35929&integration=site_desktop&place=layout&secdata = Cjcqmayoliabmajqdw% 3D 3D 3D

How to calculate the room in square meters

How to count the square meters of the floor?

When repairing, buying materials you need to know the area of ​​the premises. They say more "quadrature". How to calculate the room area in square meters, which for this you need - we will be considered in the article.

A bit of theory

How to find the area of ​​various figures, passed even in elementary school.

It was a long time ago, so "update" information can be useful. We will consider only what can be related to the floor.

So, let's start with the simplest - units of measurement.

To calculate the square area in square meters, you will need a pencil, roulette and some knowledge luggage

What is 1 cm² and 1 m²

The area of ​​any figure is measured in square meters or square centimeters. Designation of cm² or m², you can meet writing sq.m, apt. See, square. meters, square. Santimeters and other variations.

What is one square centimeter

One square centimeter is the square of 1 cm square.

If you draw such a square, the sides of which are 1 cm, then the shaded part (in the figure is red or blue) and there will be one square centimeter.

Accordingly, the square with a side of one meter - 1 m - has an area of ​​one square meter. The same "square square".

That is, this is a square floor (or walls) with a side of one meter - 1 m². In one square meter, ten thousand square centimeters: 1 m² = 10,000 cm².

Formulas

This is what concerned the units of measurement and their compliance. But our premises, thank God, more than one square meter.

How to calculate the area of ​​the room? How many square meters in it? Usually the room has a rectangle shape, less often - square.

It means that it will be necessary to recall the formulas for finding the square of the square and the rectangle.

With the help of very simple formulas, you can calculate the area of ​​the rectangle and square

It is necessary to multiply the length of the side of the rectangle. We get the desired area. Let's practice.

  1. We have a rectangle with sides of 80 cm and 50 cm. Reduce these numbers: 80 * 50 = 4000 cm². This will be its area.
  2. Parties 322 cm and 300 cm. We get: 322 * 300 = 96000 cm².
  3. There is a square with a side of 60 cm. Its area is 60 * 60 = 3600 cm².

In the case of a square, the side length can be raised to the square - it turns out the same thing. But you can not fool your head. It is easier to remember that it is necessary to multiply the parties.

The simplest slumber for calculating the area of ​​the rectangular room.

Translation of square centimeters in square meters

When we deal with hundreds of centimeters, it is more convenient and easier to read in meters. We know that in one meter one hundred centimeters. Let's solve the same examples, but we will translate centimeters to meters:

  1. 80 cm = 0.8 m; 50 cm = 0.5 m. Reduce 0.8 * 0.5 = 0.4 m². That is, 0.4 square meters.
  2. 322 cm is 3.22 m; 300 cm This is 3 m. Now you multiply the figures obtained: 3.22 * 3 = 9.6 m².
  3. 60 cm are equal to 0.6 m. Square area with such a side of 0.6 * 0.6 = 0.36 m².

The numbers are much less, remembering them easier.

And if we want to calculate the room area in square meters, we measure it in meters, not centimeters.

You can translate square centimeters into square meters. As already spoke, in one square meter contains ten thousand square centimeters.

Square centimeter ratio and square meters

If you have an area in square centimeters to translate it into square meters, the figure should be divided into 10,000. For example:

  • 4000 cm² / 10000 = 0.4 m²;
  • 96000 cm² / 10000 = 9.6 m²;
  • 3600 cm² / 10000 = 0.36 m².

As you can see, everything is simple. It is only necessary to remember the main provisions and calculate the room area in square meters will be completely simple. It will be necessary to pre-conduct measurements, and then take up the calculations.

Calculate the area of ​​the room, often necessary when purchasing materials for construction or repair.

For example, some types of floor covering are sold to squares (that is, per square meters).

To correctly calculate its number, you need to know the floor area (often they say the square of the room, which is essentially the same thing).

You can find the size of the room Knowing Length and Width

Measurements

We take a tape measure, a piece of paper, pencil and calculator. On paper draw room plan. With roulette, we measure the length of all walls.

We carry out measurements at the floor level - if the construction is old, is the likelihood that the walls are "dumped" in one direction or the other.

Especially since we determine the area of ​​the floor, so it is more logical to measure close to the walls, but the measuring tape is pulling along the floor.

Room diagram with measurements

On the diagram I put measurement. Best in meters. Measurement accuracy - up to centimeter.

It will be needed when buying materials that are sold on the route meters - linoleum, carpet or other rolled coatings. To calculate the room area in square meters, such accuracy is also desirable.

Although you can, of course, round. But it is better to do this by having received the result.

How to calculate the room square

Having the length and width of the room of a rectangular shape, the numbers need to simply multiply. In the figure above, such a room is drawn on the right.

The long wall is 7 m, short - 4 meters. Alternate 7 * 4 = 28 square meters. This is the area of ​​this room, gender. In other words, we found the square.

Using this figure, you can buy a floor covering. But it should be borne in mind that some reserve is required - on fitting, trimming.

The harder the laying scheme and the greater the fragments of the floor covering, the amount should be larger.

Often the room is not rectangular, but has a more complex shape. To calculate the area of ​​such a room in square meters, it is divided into simple figures.

If you manage to rectangles or squares. For example, the M-shaped room is broken into two rectangles.

Then the area of ​​each rectangle is considered separately, then they are folded.

How to find a room of a sophisticated form

  • We consider a large rectangle: 5 m * 4.35 m = 21.75 m².
  • We find the small quadrature: 2.5 m * 2.65 m = 6,625 m².
  • The floor area in this room is equal to the amount of 21.75 m² + 6,625 m² = 28,375 m².

When buying materials, it is easier to use rounded values.

Most often they say that in this room 28.4 squares.

If the room has a plot of "cut" wall, as in the figure below, the easiest way to draw a rectangle so that slammingly shared it into two triangles. In this case, we get a M-shaped room again. How to calculate its square already know.

It turns out, we are looking for the area of ​​three rectangles

And the missing area is half a small rectangle. That is, we find the area of ​​this little rectangle, we divide it in half and add to the size of the M-shaped area.

We give an example of the calculation Substituting arbitrary values:

  • Large rectangle: 1.75 m * 1.93 m = 3.3775 m². For simplicity, rounded up to 3.38 m².
  • Medium rectangle: 1.18 m * 0.57 m = 0.6726 m². Round up to 0.67 m² again.
  • The smallest rectangle (in our case it will be a square): 0.57 m * 0.57 m = 0.3249 m2, after rounding we have 0.33 m².
  • To find the total area we add the square of two rectangles and add half the area of ​​the latter, the smallest site. 3.38 + 0.67 + 0.33 / 2 = 3.38 + 0.67 + 0.17 = 4.22 m².

Such a technique - a splitting of simple figures - the most convenient and simple method. You should always try to convert a complex figure into a set of simple. True, measurements may be required more.

Apartment area

Since the repair is a "disaster", which periodically visits us, it is better to make the plan of the whole apartment with detailed measurements.

In the same plan, lift the area of ​​each room.

After you calculate the square of all rooms, fold the numbers and get a member of the apartment.

For the plan it is better to calculate the Metage of each room

One option can be as in the figure above - in order to know the area of ​​each room. This will be required for the purchase of materials.

But you need another plan on which all lengths will be. Sleeping, width of windows, doors, etc. This will be required, for example, to develop laminate laying schemes, floor tiles or other coatings.

We need such a plan and when planning a warm floor.

There is, by the way, an application calculator for the phone, with which all calculations are very simple.

A source: https://chudopol.ru/raschet-ploshhadi

How to calculate the square meter of the floor: a simple calculation of the area of ​​walls, floors and ceilings

Each of the parts of which consists of any building, has its own surfaces, most of them have names, such as wall, floor, ceiling.

When performing construction work, be it building a new home or repair of the old, a quantitative assessment of the sizes of such surfaces is required.

It is accepted - the area. Most often, the dimensions of these areas are needed for finishing works, since the manufacturer of materials indicates their expenditure rate on labels, in the form of inscriptions on packages, as well as in separately attached instructions.

Consumption rate is the amount of material required for finishing a single area, which is usually taken in size in a square meter.

The consumer needs only multiply the rate of consumption on the size of the area in order to learn the total amount of material required in kilograms, bags, banks or pieces.

Basic concepts

In order to calculate the areas of surfaces such as floors, ceilings and walls, let's look at them and find that they consist of basic geometric shapes: a quadrangle, a triangle and a circle or from their combinations.

Sale of fields

Let us turn to the school lessons of geometry and remember how these geometric shapes are calculated.

Quadrangles

These include such figures as:

  • Rectangle, all its four corners are direct, and the opposite directions are equal to each other, its private event is the square, which are equal to all four sides
  • quadrangle, with all sides of different sizes
  • parallelograms, with pairwise parallel sides, two of which are shifted relative to each other, its private event is a rhombus, in which all four sides have the same size
  • trapeziums, quadrangles with two opposite parallel sides, one of which is less than another

Triangles

Triangles have three sides and three vertices, they happen:

  • rectangular, that is, the two sides are connected to each other at right angles
  • with parties of different sizes

Circle

This is a closed curvilinear circuit that can be in the form of:

  • The right circle with a constant value of radius or diameter
  • In the form of an ellipse, fightered from two sides of the circle
  • segments, parts of circles or ellipses having one side in the form of a straight line - chords, and another curvilinear

Volumetric curvilinear figures

Krivolynearine Square Pola

These figures are very rarely used entirely, but their parts are quite popular in the form of volumetric segments:

Quadrangle area

The type of quadrilateral usually have walls, ceilings, floors, door and window openings.

The easiest way to calculate the area of ​​the rectangle or square.

To do this, you just need to multiply the dimensions of its perpendicular sides, they are also called the length and width, if the rectangle is horizontal, or length and height, if it is located vertically.

For various reasons, the four-trigger surfaces in the house have straight corners and the same sides. To calculate the Square "S" of such a quadrilateral there is a special formula:

S = √ (P-a) (P-b) (P-C) (P-D), where:

  • a, b, c, d - the length of the side of the rectangle
  • P = (A + B + C + D) / 2 - half-version

The area of ​​the parallelogram or its private case of rhombus is calculated by multiplying the length of one of the parallel sides with a geometric height, that is, a line of line, carried out from one of its vertices perpendicular to the opposite parallel side to the intersection with it.

If it is a trapezium, its area is calculated as half the sum of the size of the parallel sides, multiplied by the distance between them (geometric height).

There can be a plan in the form of a trapezium in the walls or speakers beyond the boundaries of the facade of erkers.

Area of ​​a triangle

The triangles are the frontones of the building, the surface of the roofing rods, erkers or niches. One straight angle is half the work of its cathets (smaller sides).

With an arbitrary length of the sides, half the size obtained by multiplying the size of one of the sides to the geometric height (perpendicular, lowered to this side from the opposite angle).

Square Circle

The area of ​​the circle is calculated by the formula: S = PI * R * R, where:

  • Pi - Number Constant, equal to 3.1415
  • R - Circle Radius

Square Ellipse

The ellipse lines dividing the ellipse on 4 equal parts is not called a diameter of both in the circle, but the axes are large (a) and small (b). The formula for calculating its area: S = PI * (A * B) / 4, where:

  • Pi - Number Constant, equal to 3.1415
  • a - big ellipse axis
  • B - Small Ellipse Ax

Square of the segment of the circle or ellipse S = [(R * R) / 2] * (A -Sin A), where:

  • R - Radius
  • A - Corner of the segment

If the radius is unknown, it is calculated by the formula: R = (H / 2) + [(C * C) / (8 * H)], and the angle A by the formula:

a = 2 * Arcsin [C / (2 * R)], where:

  • R - Radius
  • h - geometric segment height
  • C - Chord Length

Circle segment

To calculate it, take the formula: L = A * R, where:

  • L - arc segment
  • R - Radius
  • A - Corner of the segment

Walls

If the surface of the wall is homogeneous and does not have any cut parts in the form of openings, its area is calculated by one of the formulas for the quadrangles, which it matches the most.

When there are protruding parts in the wall (for example, a furnace, fireplace) or parts overlooking it, but the components with it one whole (for example, niche or erkers), the area of ​​their vertical projections is deducted or, on the contrary, is added to the previously calculated.

Wall area with fireplace

Suppose that the wall has two openings - rectangular window and arched (consists of a rectangle and segment attached to it from above).

At the same wall there is a rectangular fireplace, as well as the semicircular niche and the ears, which in terms of a trapezium.

From the area of ​​the wall, calculated as a quadrilateral, you need to subtract the area of ​​openings of rectangular and arched, as well as the area of ​​rectangular projection of the fireplace.

That is, you need to calculate the area of ​​three rectangles and one segment, and then subtract them from the area of ​​the wall.

The semicircular niche and the ears in the wall plane also have the appearance of rectangles and their squares are also deducted from the area of ​​the wall.

Then you can calculate the area of ​​the parts of the wall forming the niche and the erker.

For a niche - the length of its arc is calculated and is multiplied by its height. For the erker with a base in the form of a trapezium - the lengths of its parties are measured, with the exception of the largest, which coincides with the wall plane and also multiply on its height.

The results obtained must be added to the wall area and then with a fairly high accuracy to know its calculated area.

Floors and ceilings

Floor area and ceiling are calculated by subtracting or additioning with their quadrangular surface of the area of ​​embedded or protruding parts.

For the above example, this will be a rectangular horizontal projection of the fireplace, the base of the erker in the form of a trapezoid and niche in the form of a segment.

Thus, from the base area of ​​the floor or the ceiling, it is necessary to cut the area of ​​one rectangle, and add a trapezoid area and segment.

When placing the ceiling by the second level, the element in the form of a circle or ellipse can be fixed on it. To determine its area, use the corresponding formulas for their calculation.

The calculation should always be made in the same units - better if it is square meters. Never be mixed in the same calculation of meters, centimeters and millimeters.

How to calculate linoleum - on video:

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A source: http://foxremont.com/remont/pol/kak-rasschitat-kvadratnyj-metr-pola.html.

How to correctly calculate square meters of walls, gender and ceiling? The volume of rooms by the formula, complex figures

Check the work of builders, determine the volume of work and materials is easy, knowing how to calculate square meters of gender or walls of the room with simple geometric formulas, simple calculations and non-hard techniques.

In construction and finishing works, almost all rates for work reduced to the cost per square meter . Surface quadrature is needed for counting Flow material (See more: tips for the house).

Meter square is how much?

Square meter called Unit of measurement area adopted in the international system of units, si. 1m² is equal to square square with a side of 1 m.

Knowledge of simple rules and several geometric formulas for calculating the number of square meters of walls, floors, the ceiling will avoid errors in calculations and correctly define the desired values.

Tools for calculation

For measurement and calculation you will need the following Items and tools :

  • Measuring roulette, the required roulette length of 3-5 m;
  • pencil;
  • paper sheet for records;
  • calculator;
  • Construction solo.

The carbon is placed perpendiculars - lines intersecting at right angles.

Room Square

Knowledge of the room in the room is useful for the definition Cost of flooring, ceiling finishes, quantity and capacity of lighting . Measuring the quadrature of the room, check the compliance of the area declared on the project.

Measurements of walls are more convenient to produce below, at the plunth level. Doubts in the correct form of the room are eliminated by measuring diagonals. If the diagonals are the rooms are equal , then the corners are straight, and the room is rectangular.

Square or rectangle

The most common shape of the room in terms of - Square or rectangular . Counting quadratures by the floor at the same time will not be much difficulty:

  • measured with a roulette length and width of the room;
  • Move numbers with each other, recording the result on paper;
  • The protrusions, the columns measure the area of ​​the elements consider the same principles, multiplying two sizes;
  • The resulting figures are subtracted from the square of the room.

At the same time, the ceiling area is considered to be the same principle, that is, they multiply the length of the width over the deduction of technological openings, if any.

Placement of irregular shape

Erkers, attic and houses of houses with complex architecture in terms of often have an irregular shape .

The metrar of a non-standard room with semicircles, protrusions, a plurality of angles are complicated more difficult.

Facilitate the task using The principle of dividing complex figures on simple .

Gender, representing as a composite figure mentally or displaying on paper, divided into standard geometric elements. Then they calculate the area of ​​elements one by one and fold the obtained values.

Mr., T-shaped forms of the room in terms of split on rectangles and squares . Semicircular surfaces are taken as part of a circle.

The number of square meters of floor of the room, which is based on a trapezium, can be calculated in two ways:

  • representing a trapezium like Combination of a square with two triangles . Having obtained the value of the figures, the numbers are folded;
  • by Formula Square of trapezium.

For the calculation according to the formula, the two opposite long walls are measured, these sizes will give the base values. The height value is determined by measuring the perpendicular conducted from one of the corners of a smaller base to more.

Formula Square trapezium S = 1/2 (a + c) * n Where:

  • S is the desired value, the area of ​​the trapezium;
  • A - the base of the trapezium;
  • In - the base of the trapezium;
  • H is the height of the trapezium.

The area of ​​the trapezoid room is half the sum of the numerical values ​​of the bases multiplied by height.

Room volume

The cabbage of the room, or the volume in construction is used when calculating the required power of heating, ventilation, air conditioning.

The volume is measured in cubic meters. The unit is written as 1 m³.

From the point of view of geometry, the room as a figure is Hexagon .

Measuring the length, width and height of the rectangular room, moving the measurements obtained, get Volume of simple room .

The size of the complex form is calculated by the following way:

  • The floor of the room is broken into simple geometric shapes;
  • Calculate the square of each figure;
  • The obtained values ​​are folded and multiplied to the height to the ceiling.

How to calculate the square of the walls?

The size of the wall in square meters is needed for calculating the amount of finishing materials, placement of shelves, mirrors or hinged cabinets.

Solid Wall

The quadrature of the wall is calculated similar to the floor area - Length, the height of the wall after the measure is variable between themselves.

Take into account all the depressions and protrusions, if there are such.

The walls of mansard premises under the roof often broken shape, segments are in different planes.

In this case, the walls of the walls are measured separately, tolerated on paper. Calculate the area of ​​each individual geometric shape and summarize the numbers.

With a window

Determining the number of square meters of the wall, windows are usually exclude .

The end faces of the walls near the window are called slopes, their dimensions are also not included in the Wall Metage and are considered separately, for example, when calculating plastering works or shtlings.

With door

The square of the doorway from the area of ​​the wall when calculating Remove . The slopes are measured separately if necessary.

Measure the area of ​​incorrect shape

Calculating the metraright of decorative arched openings or stroke windows, according to the same principle, breaking the complex figure on a few simple elements .

Squares and rectangles combine parts of the circle and triangles.

Circle

A whole circle in the interior is rare enough. Fully round can be a window, columns, central part of a multi-level ceiling. Basically, it is necessary to have with parts of the circle: Half or segments .

Roulette remove the size between two opposite points of the circle. This segment will be called diameter . The radius of the circle is equal to half the diameter.

Counting Circle Square is produced by the formula S = π * R² Where:

  • R - radius;
  • S - Circle Square;
  • π is a constant mathematical value, rounded to a value of 3.14.

The numeric value of the semicircle area is obtained by dividing the result obtained by 2.

The quadrature of the circle sector is equal to the product of half the length of the sector arc to the circle radius, is calculated by the formula S = 1/2 L * R .

Triangle

The formula of the area of ​​the triangle S = 1/2 * n * a Where:

  • S - the triangle area;
  • N - height;
  • A - side of the triangle.

The height of the triangle is obtained by measuring the roulette perpendicular from the angle opposite to the side.

Look at the video below useful tips for the rapid and correct counting of the square of the walls and the floor:

Using simple formulas from the geometry school year, you can calculate any desired value for construction or repair.

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How to calculate square meters of room: calculation of the area of ​​non-standard rooms

Everyone who started the repair faces the need to count when buying an exact number of building materials.

In order not to overpay and not detect a shortage, you need to know how to calculate square meters of room, walls, floor, ceiling.

Everything is simple enough, but difficulties may arise with the calculation of the area of ​​non-standard premises. How to calculate the area of ​​the room in square meters? Formulas with examples further.

How to calculate the square meter of the wall?

Armed with a tape measure, a calculator and notepad, you can start from the simplest - the count of the square of the wall (the ceiling, floor - it does not matter if this is a rectangle, counting the same).

It is measured width and height to the ceiling. It can even be seen on the eye that the premises are not perfect angles.

Then it is necessary to perform measurements in several places - for example, remove the height from one side of the wall and on the other.

If the numbers turned out different, the arithmetic average is calculated (both indicators are folded and divided by 2).

To find out the number of square meters, you need to multiply the length to the height of the wall. For floor - long width.

  • Example: Width of the wall 3.6 m, height - 2.9 m.
  • The area of ​​such a wall will be 3.6 x 2, 9 = 10.44 m2.

The calculation is done for each wall, and the results are folded.

Calculation of square room

How to calculate the room square square meters?

Not always, the room is the right rectangle. There may be a mass of special cases. Consider some of them.

Floor and ceiling in a room with a storage room, an erker, niche, etc.

How to calculate the square meter of the floor? The main principle of this: the total area must be divided into separate parts so that simple figures come out, and to calculate the quadrature for them separately, and then fold all the results.

Example. The room was combined with a balcony and made a warm loggia. It is necessary to calculate the floor area for the total room:

  1. The length and width of the large room is measured (for example, 5 m by 6.7 m).
  2. The results are variable (5 x 6.7 = 33.5 m2).
  3. The length and width of the loggia is measured (for example, 2.1 m per 1.4 m)
  4. The results are variable (2.1 x 1,4 = 2.94 m2)
  5. The first result and the second result are folded (33.5 + 2.94 = 36.44 m2)

Similarly, if you need to add the area of ​​other premises and elements.

Wall, excluding windows, doors; floor excluding oven

Windows, doors, the furnace is also rectangles whose quadrature will need to count separately. The only difference is that from the total area, these indicators will need to subtract.

Example. On the wall there are two identical windows. It is necessary to know how much material will go to the walls of the wall without taking into account windows:

  1. The length and height of the wall is measured (for example, 2.5 m x 4.5 m).
  2. There is a total quadrature of this wall (2.5 x 4.5 = 11.25 m2).
  3. The height and width of the window along the edge of the frame (90 cm (0.9 m) by 1.3 m) is measured.
  4. There is a window area (0.9 x 1,3 = 1.17 m2).
  5. We have two windows, therefore the digit doubles (1.17 x 2 = 2.34 m2).
  6. We subtract the area of ​​both windows from the total quadrature of the wall (11.25 - 2.34 = 8.91 m2).

Similarly, if you need to eliminate the door or other elements from the area (radiators, fireplaces, furnaces or even furniture).

Round (and semicircular) Heavy ceiling elements, windows, columns, heating boilers, etc.

In some cases, you can find out the diameter (and therefore radius), simply by applying a roulette, as in the case of the elements of the suspended ceiling and windows. Then the formula of the area of ​​the circle on the radius will be like this:

S = πr2

  1. With the help of a tape measure, we measure the diameter of the window (for example, 80 cm).
  2. We divide the diameter in half, learn the radius (80: 2 = 40 cm, or 0.4 m).
  3. Calculate the area. π Always = 3.14. (3.14 x 0.42 = 3.14 x 0.16 = 0.5024 m2).

If the diameter simply cannot be measured, such as, for example, with a column or pipe, it will be necessary to measure the circle.

The formula of the area of ​​the circle along the circumference length:

S = L2:four π

Example. There is a column. You need to find out the floor area in the hall without it:

  1. The length and width of the room are measured, its area is located (for example, 19 m2).
  2. Roulette is measured the length of the column circle (for example, 88 cm, or 0.88 m).
  3. According to the formula, the column area is calculated (0.882: 4π = 0.7744: 4x3,14 = 0.7744: 12.56 = 0.62 m2.
  4. From the square of the room, the area of ​​the column (19 - 0.62 = 18.38 m2) is subtracted.

In the case of a semicircular element, we also do, but at the very end divide the result by 2.

Example. It is necessary to know the area of ​​the window with a semicircular (arched) riding:

  1. The width is measured, and the height of the rectangular part of the window (for example, 1.1 m per 1.4 m).
  2. The area is calculated (1.1 x 1,4 = 1.54 m2)
  3. The diameter of the circular part will correspond to the width of the window (we have 1.1 m).
  4. Radius is half a diameter (1.1: 2 = 0.55)
  5. There is a circle area (3.14 x 0.552 = 3.14 x 0.3025 = 0.95 m2).
  6. The area of ​​the semicircle (0.95: 2 = 0.475 m2).
  7. There are areas of the rectangular part of the window and semicircular (1.54 + 0.475 = 2.015 m2).

Similarly, you can calculate the area of ​​the doorway with the arch.

How to calculate the square of the curvilinear room?

Sometimes in the rooms one of the angles "cut" or the wall goes at an angle. Then the same principle of dividing complex figures is valid for simpler, but some of them will be triangles.

In difficult tasks, a good drawing is half of the success. Make a room plan, which will help "share" the room on paper, and not in the mind.

Beveled corners in the room

In fact, such a room is a rectangle, from which the triangle is "cut". Finding the area of ​​this triangle, and deducting it from the total quadrature, the area of ​​the room will remain.

The area of ​​the triangle is located by the formula:

S = AB : 2.

Where A and B are nuts, or parties perpendicular to each other.

The beveled part is hypotenuse that is not required for computing.

  1. To learn "a", the width of the wall is measured, where the section begins, and then the opposite wall is the difference between them (for example, the beveled wall is 1.7 m, and the opposite 3 m, which means "a" = 1.3 m) .
  2. Similarly is "B", only the lengths of the room are compared (for example, 5 m and 3.6 m. Calculation: 5 - 3.6 = 1.4 m).
  3. The area of ​​the "cut" triangle is calculated (1.3 x 1,4: 2 = 1.82: 2 = 0.91 m2).
  4. According to previously made meters, if the rooms were rectangular, its dimensions would be 5 m per 3 m. And therefore, the quadrature is 5 x 3 = 15 m2.
  5. From the total quadrature, we subtract the triangle area (15 - 0.91 = 14.09).

So, to calculate the area of ​​anyone, even the most difficult room, if you crush it on simple figures and remember several formulas from the school course. Remember that it is necessary to round up so that there remains overwhelming materials, and indeed 5 - 10% of the spare material should always be kept at hand.

on the topic

A source: https://microklimat.pro/uteplenie/kak-vyschitat-kvadratnye-metry-komnaty.html

How to calculate square meters of floor

Each of us sooner or later is forced to encounter the calculation of housing parameters. Whether it is repairing or buying furniture, it is extremely important for you to possess information about the size of walls, ceilings and gender.

It would seem that it could be easier? But this is only at first glance. And on the fact there will be physical measurements of this space and mental costs to get clear size of the room.

Remember how to calculate square meters.

Formula

What form object, the parties of which will you measure? Another school program can be remembered that the area of ​​the rectangular figure is equal to the product of its length and width. Those.

You need to identify the size of the sides of the wall and multiply each other resulting parameters. If you need to calculate the overall square of all vertical surfaces in the room, simply summarize them.

And what about other forms?

When it comes to a circle, for example, it can be a ceiling, then measure the distance from the center of the circle to the circumference itself and get the surface radius.

Then multiply the existing number on itself, and then - also at 3.14. Thus, the calculation formula is equal to: the number "PI", multiplied by the radius in the square.

Well, how to calculate square meters of wall and ceiling, you figured out. And if you need to "calculate" tiles?

Zafel measurements

Do you want to calculate the number of required tiles in square meters? So, you must first refresh the concept of multiplicity in memory.

Imagine that the bathroom is 30 m 2. And in one package there will be 7 meters of tiles.

It turns out that at least you need to be at 30 meters, it will also have to buy at least 35 "squares" of the facing material.

In addition, among other things, take into account the size of the ceramics itself.

Be sure to calculate how many tiles will go on one side of the room and whether it will be necessary to cut them.

After all, in the event that they have to shorten, you will need more tiles than you planned initially.

How to calculate square meters of the room, you have decided. And in order to find out how much to buy tiles on the whole area, do the following:

  • multiplied the length of the ceramic product on its width
  • Room Square Deliver to the resulting number
  • Use the resulting digit to calculate the required facing units.

As a result, you received the number of necessary material in pieces, according to the parameters of your object.

Such calculations will help you and if you decide to put the paving slabs with your own hands.

What is important to consider

Calculation of the sizes of the object, remember that it is necessary to subtract from the resulting area the square of the existing doors and windows.

At first glance, it may seem that the calculation of the area is a very time-consuming and tedious occupation. But it is not so! Arm yourself with a tape measure and start measuring the sides of your housing.

This lesson will take no more than five minutes. Be sure to write down all the resulting parameters.

When you have introduced data, take the calculator and solve simple tasks. This is another 10 minutes. In total - 15 minutes and many savomes and forces!

Why consider and measure

Knowing the parameters of your room, you can easily check the sellers who will probably try to advise you to purchase construction goods with a margin. Yes, and it is much easier to navigate in the estimate of workers going to carry out the repair.

Among other things, you can save on the materials themselves for the walls and the ceiling, buying exactly so many goods as necessary.

Today you will consider the sizes of your walls, and tomorrow you will be asked familiar or loved ones: "How to calculate square meters tiles?" "Easily!" - You will answer.

And indeed, nothing complicated!

How to calculate square meters?

From time to time we face a problem, how to calculate square meters: when calculating payment for utilities or during repair, when you need to count how many wallpaper rolls are needed to enclose the walls, or how many cans of paint.

In fact, all these data are indicated in the technical passport, where there is a clear planning of the apartment, indicates the number of square meters of each room and the total area of ​​the apartment.

How to calculate square meters of walls

If there are no passports, but you still need to learn, for example, how to calculate square meters of walls, then do it, on the actual matter, is not so difficult.

To do this, you will need school knowledge of geometry. Namely, the formula of the area of ​​the rectangle s = a * b. That is, you need the height of your walls to multiply on the width.

To do this, do the following:

  1. Measure the width of the wall. It is best to do it along the floor or ceiling, since these lines are most perpendicular.
  2. Change the wall height. This is the distance from the floor to the ceiling. As a rule, in Khrushchev, it is 2.5 m, in Brezhnevka - 3 m, in Stalinki - 3.5 or 4 m. But it is best to measure yourself in order not to guess.
  3. Find out the area. The obtained values ​​should multiply each other - and you have the sum of square meters of one wall.
  4. The amount of space. Since the room is not one wall, and four, then the same operations need to be done with the rest of the walls, and then fold the obtained 4 areas. As a result, you will have square meters of walls of the whole room.
  5. Complete surplus. There is at least one entrance to each room. In modern apartments are very fashionable redevelopment with different arched and other processes. Naturally, if you need to calculate the number of wall rolls, then this distance you do not need. Therefore, they measure the height and width of the day, navigate them and the resulting number is deducted from the total number of wall meters.

As you can see, nothing complicated in it. If you are interested in how to calculate square meters of the room, it is even easier.

How to calculate square meters of room

The main formula is still the same. Only now we need the length and width of the floor.

  1. Measure the width. If you have the furniture along the wall, you should not drag it right away somewhere. You can easily measure the width over the wall or ceiling - the room consists of rectangles, and the parallel sides are equal.
  2. Measure length. We measure the adjacent wall / floor / ceiling.
  3. Find area. Moving the figures received - and that's it.

If you need to calculate the square meters of the entire apartment, the principle is the same: we consider each room, corridors and storage rooms, and then we put together.

How to calculate the quadrature of the floor: practical advice

Table of Contents

Quite often arise tasks where you just do not do without knowing the area of ​​your room.

How to calculate the square meters of the floor - the task known to the ancient Greeks, not to mention the modern builders.

But there are nuances that are able to complicate this task, so we decided to highlight the problem from all sides.

What is it for

Measurement is the key to the correct work of the builder, engineer, designer.

Measuring the area of ​​the room may be useful in a number of situations:

Sources: http://www.rutvet.ru/in-kak-poschitat-kvadratnye-metry-zadachki-iz-shkol-noy-programmy-kotory-prigodyatsya-prigodyatsya-vo-vzrosloy-zhizni-5986.

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Square meter is how much: how to measure the quadrature of the room yourself - formulas to help

When carrying out repair work, the question arises: a square meter is how much materials needed to cover it.

In order not to spend extra money, it is better to start the calculation of square meters of the room and only then go to the store with specific requirements.

On packages with paints, plaster, primer is necessarily marked, on which room size is calculated by a given amount of the mixture.

The main question is how much packages or cans are needed to have enough wall or floor area.

What is a square meter

First you need to decide what is a square meter.

People who were poorly taught in school mathematics, they still easily or later face the problem of counting the number of building materials.

therefore Square meter is the main point of reference when determining the area of ​​the room.

If you draw a square (this is a geometric shape with the same parties), and the side will be 100 cm, then with multiplication by 100, we obtain the number of 10,000 cm.

This means that the size of this figure is 10000 cm2. It is possible easier. Calculate in meters: 100 cm is 1 m.

We apply the formula for counting the area - we turn two sides, that is, 1 multiply by 1, we get 1 m. So, the size of the square is 1 sq.m.

Square meter counting tools

For calculations, it is necessary to prepare a calculator.

If it is not, then the multiplication table on the usual notebook for the first grader.

If the walls have no 2, not 3 meters, but, for example, 2.5 meters, then it is better to still a calculator. This is too complex load for the brain, which is not used to working with numbers.

It is advisable to have a piece of paper on hand and handle for recording.

It is necessary to measure with a roulette or centimeter.

Square meter counting formula

To calculate the area, it is necessary to apply the formula of the square meter A x b, where the number A is the length of one side, and the number B is the length of the second side. They may be the same if the floor or wall shape or wall.

Most often it is not square, but rectangular, that is, the number A will have one value, and the number is another.

They will need to multiply in the mind, or on the multiplication table, or on the calculator.

And the resulting number will be an area that will need to cover the paint or something else.

!Sometimes you need to know how the size is calculated correctly. How much is 1 4 inches in mm? This can be read about this in our article.

It happens that the shape of the floor is not standard, but, for example, trapezoidal. Then it is more difficult, especially to people who do not know what a triangle is (this is also in nature).

To calculate the size of the trapezion, it is necessary to calculate first the area of ​​the rectangle in the middle, then the magnitude of each triangle on the sides , then lay these three numbers.

Is it no easier to immediately call the brigade of workers? Let them think how to calculate square meters of room.

Important! If misunderstanding appeared at this stage, it is better to immediately call the teacher of mathematics and ask to calculate how many square meters. Meters has room.

Floor area or ceiling

The ceiling and the floor in an ordinary apartment are the same. How to calculate square meters? Very simple. If the indoor indoor, then there is no ceiling there - there are only gender and walls.

Stage # 1. Measure the length of the room and write the resulting number on paper. If the number is integer, then we write just a digit. For example, 5 (m). If the number is greater than 5, but less than 6, then you will have to recall the decimal fractions and write, for example, 5.5 (m).

Stage # 2. Measure the width of the room and record similarly. For example - 3m.

Stage No. 3. Now it is necessary to multiply these two numbers. Example: 5 x 3 = 15m. So, the floor area is 15 square meters. Consequently, the ceiling size will also be 15 square meters. m. Record this number separately and break the handle.

Square Solid Wall

How to calculate the quadrature of a solid wall? Just as we measured the floor or ceiling. The algorithm of action is the same as when counting the size of the floor:

  • Measure the length of the wall and write;
  • Measure height;
  • Multiply two numbers - the result obtained and will be square meters.

Example: Height of 2.20 m, length 7m. 7 x 2.2 = 15.4 m. Wall area - 15.4 square meters. m.

How to calculate square meters wall with window

It will be more difficult to deal with the wall on which the window is located.

In this case, it is necessary to separately calculate the size of the wall, separately - the size of the window. Then, from the larger area, deducting smaller. It turns out the number of square meters, which will need to be covered with paint or plaster.

Algorithm of actions:

  1. The scenario has already passed to calculate the wall size. Let the known number be the already known number - 15.4 m2.
  2. Next, measure the height and length of the window. Multiply numbers. For example: length 1.5 m, height 1.2 m. If multiplying, then it turns out 1.8. So, the area of ​​the window is 1.8 square meters. m.
  3. We take the area of ​​the wall and deduct the size of the window: 15.4 - 1.8 = 13.6. The area that will need to be put in order - 13.6 square meters. m.

Important! Figures that are obtained when calculating, be sure to record and circuit with a handle so as not to be lost in our own calculations.

How to calculate square meters wall with door

Similarly, it is necessary to produce when you want to calculate square meters of walls with a door.

If the door from a mathematical point of view is a simple rectangle, then calculate its area along the usual formula A X V.

That is, it is necessary to measure the height and length, then multiply multiplies and the size of the door.

Next, from the area of ​​the wall, we subtract the size of the door and get the square to which the finishing materials will need to be bought. If the previous owner of the apartment made the door with the arch, then here without calculating the size of the circle can not do.

Measure the area of ​​complex shapes

Circle and triangle - complex figures for self-calculation . How to measure square meters of circumference, if there is no mathematical or engineering education? Again, according to the formula.

How to measure the size of the circle

There is a formula for calculating the area of ​​the circle. There is such a constant number - the ratio of the length of the circumference to its diameter. It is equally for all sizes of the circle. It is called pi and equals 3.14. This is the number and use when counting.

Stage No. 1. Measure the diameter (this is a line that passes through the center of the circle from one edge of the circle to another). Let the diameter be equal to 3 m. Next, we find the radius - this is half the length of diameter. That is 1.5 m. We write down the radius on paper.

Stage No. 2. We produce calculations according to the formula S = PR2, where S is the area of ​​the circle, P is a constant number, and R is the radius of the circle. It turns out 3.14 x (1.5 x 1.5) = 7, 065. The area of ​​this circle is 7,065 square meters. m.

But this is the area of ​​a whole circle. Arch over the door is half a circle. So, you still need to divide the number of two and further add to the rectangular area of ​​the door. 7,065: 2 = 3.53 m2.

How to measure the area of ​​the triangle

If the previous owner of the apartment was a mathematician, he could well do triangular shapes on the ceiling, which have to restore and allocate other color or plaster. You have to consider not to overpay.

The calculation of the square meter in the triangular figure begins with a careful inspection of this figure.

It is necessary to find the base of the triangle, that is, the line on which the other two (as the roof is on the house). Next, spend a line from the opposite top to the base. These two numbers record.

Stage No. 1. To divide the base of the triangle to 2 and write down. This number will come in handy in the near future. Measure the height and also write.

Stage No. 2. Calculate M2 Figure.

To do this, it is necessary to use the formula: S = 0,5Ah, where S is the area of ​​the triangle, and the basis, and H is the height.

Example: base 3 m, height 2.5 m. Total: 0.5 x 3 x 2.5 = 3.75. Triangle size - 3.75 m2. Record not to forget.

Tips and recommendations

In this way, you can calculate the area of ​​the apartment and paint, which and what color to paint. The dimensions of all walls and the ceiling are folded - the number will be on which it will be necessary to navigate when buying building materials.

Tip! When calculating it is better to invite another person to help. One head is good, and two more reliable.

The case is for small - go to the store and buy materials. Here you still have to consider, since not all packages are designed for large rooms. For example, the ceiling size in the kitchen 3 x 3.

How many square meters of plaster will be needed if one package can be covered 3 square meters. m? We believe: the size of the ceiling is 9 square meters. m. One package takes 3 square meters. m.

Consequently, 3 packs are necessary for the entire ceiling.

If the package says that consumption is 12 square meters, it means how much material it is necessary to cover the wall with a size of 3 x 4 m.

Or another example. Wall in the apartment 6 at 4. How many square meters need to be painted? We multiply 6 to 4, we get 24 square meters.

This is how much paint cans are 3 liters, if each bank is spent by 6 square meters. m? We consider: 24 divide on 6. It turns out 4.

So you need to buy 4 three-liter paint cans to cover the entire wall.

For repair work, it is always better to take a little more materials so that later not to go back to the store. In the future, if you have something to cut or pick up, the remnants of the materials can be healthy.

on the topic: square meters indoors

A source: https://stroim.guru/polezno-znat/kvadratrij-metr-eto-skolko.html

Purchase of the necessary materials for repairing the room is the responsible thing. And sometimes the main thing is to determine their number, and not only with quality and appearance. To purchase materials, precisely in the amount of what you need, you will have to thoroughly measure the room. How to calculate square floor meters? Everything is quite simple, it is enough to understand the principle and remember the school lessons of mathematics.

How to calculate square meters of floor

How to calculate square meters of floor

Why make the calculation of the area of ​​the room?

Any repairs can not begin without accurate knowledge about the size of the room. To calculate the number of wallpaper or panels, you need to know the dimensions and area of ​​the walls, to acquire a sufficient amount of ceiling tiles, measurements from the ceiling are removed. Of course, for procurement in the required volumes of flooring, it will also be necessary to try and find out the significance of the area of ​​the entire floor space.

For which the settlements of the area can be useful.

For which the settlements of the area can be useful.

With the removal of the measurement of the room and the definition of the base area, each person faces, which decided to start repair independently. If the owner of the residential premises appealed to help specialists, he does not have to understand anything - the masters will do everything themselves. However, many are resolved for repair work with their own hands. This allows you to significantly save money spent on repairs.

For repair you need to know exactly the size of the room

For repair you need to know exactly the size of the room

The main reasons for the need to determine the floor area are as follows:

  • repair or primary laying of floor covering;
  • Filling fresh screed;
  • arrangement of the lag system;
  • Floor staining;
  • Application on the floor of other building materials;
  • Determining the size of the living space when the documents or purchase / sale of the apartment or at home;
  • determining the compliance of the room plan;
  • Selection of furniture on dimensions;
  • drawing up a room plan for further work;
  • Assessment of the cost of the work of specialists and other costs.
Not always the measurement of the area of ​​the floor turns out to be a simple procedure

Not always the measurement of the area of ​​the floor turns out to be a simple procedure

Basically, the knowledge of the floor area is required in order to calculate the number of building materials needed for finishing, which will be used when working. For example, the volume of cement mixture for filling the screed, the amount of bulk sex or laminate packs, etc.

Types of flooring

Types of flooring

On a note! In order to calculate the required amount of materials, you need to know not only the room area on the floor, but also the area of ​​one detail of the material you choose. For example, lamellas or tiles.

Room Square in Square meters

Do not confuse the area with a perimeter. The area is the size of the entire floor space bounded by a certain perimeter of the walls. And the perimeter is the sum of the lengths of all sides of the room. It is also necessary to know the perimeter, but this value is calculated in order to calculate how much the plinth will have to be purchased for the finishing room.

Perimeter and Square

Perimeter and Square

What sizes are needed for calculations?

So, what measurements will have to be removed to determine the area of ​​the room? The answer is simple - all that relate to the perimeter of the room, and it does not matter, even the premises geometrically or has a lot of niches and corners. To speak as a whole, it will also need its length and width to calculate the area of ​​any room.

The main size of the room

The main size of the room

What instruments are used to calculate areas?

To calculate the area of ​​the room, various computer programs can also be used, various mathematical formulas for calculations also apply. But the sizes of the side of the geometric shape, which corresponds to the room, will have to shoot in any case.

Table. Tools for removing the size of the room.

Name Recommendations
How to calculate square meter floor

Paper and pen / pencil

Required to record the evaluated readings. If the readings do not write, you can quickly get confused. Also, paper and writing accessories will be useful for the preparation of the room plan.
Roulette

Roulette

With its help, all sizes are determined directly. The greater the room, the longer the roulette will have to be purchased. You should not use a soft tissue centimeter tape, which enjoyed the cutters - it is short enough and soft, because it will be uncomfortable to shoot the measurements and you can make errors.
Calculator

Calculator

We are interested in committing all mathematical operations. It is convenient because it will reduce the risk of errors.
Paper and pen / pencil

Laser rangefinder

A comfortable device that will allow you to quickly and accurately remove the measurement of any room.
Laser rangefinder

Galnik, Transportation

May be needed to measure the corners indoors. It is worth remembering that even seemingly straight angles are not always like that. And sometimes it is necessary to know the exact size of the angle.

Manually calculated on the leaflet is convenient because all parameters can be immediately vary in place and make the necessary adjustments. But it is quite simple to make mistakes at a manual method, so it's better to recount all the indicators.

On a note! It is better to change the room better if you are unsure in the testimony than in the end to buy an insufficient amount of material or purchase it in excess.

For automatic counting area of ​​the room, it is convenient to use various graphic editors. It can be AutoCAD, ArchiCAD or Sketchup. They create a figure in the form of a room, the dimensions of all sides are specified when creating a layout. The area of ​​the room will be issued by the program automatically and with high accuracy (up to centimeters and millimeters). Everything will depend on the accuracy of the measurements. Especially using these programs is recommended if it is necessary to calculate the area of ​​the room, complicated by its geometry. The disadvantage of this method is the need for at least a superficial study of programs, as well as the use of computer equipment.

Example of using the Sketchup program

Example of using the Sketchup program

How to calculate the floor area?

The main rule when measuring the parameters of the premises is the removal of the measure on one line. For example, along the wall. However, the roulette should be placed on the floor, as the walls may have some curvature. If the room is forced by cumbersome things, then measurements can be made not along the wall, but slightly away from it. The main thing is to ensure that the roulette tape lay smoothly, did not bend, otherwise there may be a big error.

Calculate the floor area

Calculate the floor area

Calculation of the area of ​​the rectangular room

A room that does not have any, even small, protrusions and niches or, simply speaking, rectangular is the easiest option for removing the measure and counting the values ​​of the area. Here it is enough to remember the most simple formula from the course of mathematics - how the area of ​​such a figure is calculated as a rectangle. To do this, it is necessary to measure the width (a) and the length of the room (b). Thus, we obtain that S (area) will be equal to the value that will be obtained as a result of multiplying two indicators A and V.

Calculation of the area of ​​the rectangular room

Calculation of the area of ​​the rectangular room

On a note! If the number turned out not a whole, then it must be rounded into the biggest side. For example, 4,357 rounded up to 4.5 m 2.

The results of all measurements are indicated in meters. After the comma, the centimeters are indicated. For example, the length of the wall turned out 376 cm, then it turns out (in 1 m - 100 cm) that the length of this wall will be 3 m 76 cm.

Measure the rectangular floor

Measure the rectangular floor

If there is a fireplace in the room, then you need to calculate its area and take away from the resulting digit. Indeed, under the fireplace, the floor covering will not be laid. Of course, if we are not talking about the dismantling of this structure.

Calculator calculating area of ​​a quadranique room

Go to calculations

How to calculate the area of ​​the room in which the niche and protrusions are available?

What to do if there are various niches or columns in the room that cannot be hidden or dismantled? In this case, the calculations will have to be a little tinted, since the values ​​of the total area will have to calculate those indicators of the squares that occupy these columns and add the area of ​​each niche to the result.

Calculation of the area with cut

Calculation of the area with cut

It is most convenient in this case on paper to portray the exact shape of the room with the indication of all protrusions, niches and columns. Next, measurements are made of long and smooth sides of the room and are recorded in the appropriate place on the leaflet. After that, the perimeter of each column is measured and the area of ​​each column is calculated above the specified formula (S = A x B). Next, individual blocks on the same principle are calculated parameters of the area of ​​each niche.

Further, everything is simple - the main square is considered, i.e. the length and width of the longest walls are variable. From the resulting values, the area of ​​the columns is deducted, and then indicators of niche areas are added to the result. We get the exact area of ​​the whole room.

In some cases (for example, the room is made in the form of the letter "g"), you can visually smash the room into several smooth figures (for example, rectangles), remove the measurements of each figure separately, then calculate the area of ​​each element and summarize all the values ​​obtained.

Mr. Studio

Mr. Studio

Calculation of floor area in the room of irregular shape

In rooms that have the wrong shape, calculate the area is much more complicated. Difficulties add elements such as arches, niches in the shape of a semicircle, beveled walls, etc. In essence, the principle of calculation is the same - you need to smash the room into several smooth figures and calculate the area of ​​each separately, and then summarize. But the area of ​​the circle or triangle is considered for other formulas.

The floor is irregular

The floor is irregular

For example, the triangle area is calculated as: The base length is multiplied by the height of the triangle and is divided into 2.

Calculation of the area of ​​the room in the wrong shape

Calculation of the area of ​​the room in the wrong shape

On a note! The easiest way is able to share the entire room on the smooth figures of the type of squares and triangles and consider their square separately, and then summarize.

The area of ​​multi-level bands is not so difficult, as it seems. Simply considered the area of ​​individual segments and are summed up. If the steps must be separated by the same floor material as the rest of the floor, it is enough to measure the area of ​​the lateral part of each stage and to decompose to the overall digit.

If the room has a formula of a trapezium, then it is possible to calculate its area without a premises for simple figures. The trapezoid formula is calculated as follows: the length of the upper limit (shorter side - a) is summed with the length of the lower boundary (b), then multiplies to the height of the trapezoid (H) and the result obtained is divided into two. The area of ​​the quadrilateral with equal parties can be calculated by the formula: S = A (length of the long side) x H (the height of the quadrangle).

Calculation of areas of different geometric shapes

Calculation of areas of different geometric shapes

Formulas calculations

Formulas calculations

If the triangle is not direct, then it is possible to calculate its area using the Geron Formula

If the triangle is not direct, then it is possible to calculate its area using the Geron Formula

Floor Square Calculator

In order not to suffer with manual calculations on paper and not to master computer programs, you can use using online calculators. This feature provides mass of Internet resources. In a special window, it suffices to enter all the data, and after pressing the "Calculate" button in a new field or on a new page, the final calculated data will open. Usually all the indicators are entered in meters, but at will, you can also specify other units of measurement.

Online Calculators have their pros and cons

Online Calculators have their pros and cons

Advantages of online calculators:

  • Do not manually read;
  • You can easily get the area of ​​any figure;
  • The rate of calculations and their accuracy is high.

Triangular Room Calculator Calculator

Step-by-step calculation of the area of ​​the room

Step 1. First of all, it is necessary to prepare all measuring instruments as well as a leaf and handle. On paper, you can pre-draw a room diagram, trying to save geometry maximize and display all niches and room details. Roulette is used as long as possible.

Preparation of all necessary

Preparation of all necessary

Step 2. The length of the room is measured. If it is so great that the roulette lacks, then measurements are taken in stages. To begin, it is measured for the maximum length of the roulette, at the place of its end there is a mark, from which the stopper is made again until the end of the room.

First you need to measure the length of the room

First you need to measure the length of the room

Step 3. The width of the room is measured (along the wall with a smaller length). Roulette is located at right angles to the previously measured room wall (length). The data obtained is recorded.

The width of the room is measured

The width of the room is measured

Step 4. The obtained indicators are multiplied with each other. For these purposes, it is recommended to use a calculator. If necessary, the area value is rounded into the biggest.

The resulting digit is rounded into the biggest

The resulting digit is rounded into the biggest

Step 5. If it is necessary to measure the area of ​​complex geometrically rooms, then for a start, the complex figure is divided into several simple - squares, triangles, rectangles. The object is depicted on a paper sheet schematically, schematically divides.

The room is divided into 4 rectangles

The room is divided into 4 rectangles

Step 6. It is measured by each figure separately. For example, rectangles, triangles.

Each figure is measured separately

Each figure is measured separately

Step 7. Calculation of the area of ​​each figure is made. Further, all the obtained values ​​are summarized and the total accurate area of ​​the floor of the room is obtained.

Example of calculating the area of ​​the triangle

Example of calculating the area of ​​the triangle

Video - We consider the floor area

Video - Calculation of Square in Sketchup

We consider the number of tiles

Knowing the area of ​​the room, calculate the amount of floor covering will be easy. We will figure out how to find out how many tiles will need for a particular room. For this you need to know what is the area of ​​one tile coating element. Knowing these data, it is easy to produce the necessary calculations. For example:

  • Room Square - 15 m 2;
  • Size of one unit of tile - 0.20x0.30 m.
Calculation of the number of tiles on the floor

Calculation of the number of tiles on the floor

Thus, the area of ​​one tile will be 0.2x0.3 = 0.06 m 2. Further, the total area of ​​the room is divided into one tile area and get: 15 / 0.06 = 250 units. It is so much tiles will need to close the entire draft floor in this room. In exactly the same method, the number of laminate or parquet board, as well as other materials, is also calculated.

Calculator calculating the amount of glue for laying tile

Go to calculations

Prices for popular types of outdoor tiles

floor tile

Video - Calculate Linoleum

To calculate the floor area in the room, and then the consumption of the material, it is enough to know the elementary mathematical formulas and be able to use the calculator. Having the latter at hand (and now there is a calculator in each phone), you can make calculations quickly. The main thing is to be attentive when removing measurements.

Content:

It is impossible to repair an outdoor surface, not knowing the exact floor area in private household or apartment. The fact is that today the cost of building materials is high enough, and each property owner is trying to save maximize their purchase. Therefore, information, how to calculate the floor area will not be superfluous for someone who prefers to make repairs personally.

Galnik, Transportation

Why do you need to know the floor area

Before you begin work, you should decide on the amount of activities, plan the costs and calculate the number of building materials. For this, the source data will be needed. For this reason, it is important to know how to calculate the floor area unmistakably. This is especially true of uneven surfaces and premises with non-standard layout.

There are other reasons when there is a need to accurately determine the size of the floor surface:

  • checking the quality of construction work;
  • The need to redevelop the premises.

how to calculate the floor area

This article describes how to calculate the floor area in square meters in rooms with different configurations.

Definition of the area of ​​rectangular premises

Before calculating the floor area, it should be stocking calculator and measuring tape measure. Most often there are rooms in the form of a rectangle. To calculate their area, they use the formula known to all from school: S = A x b, where a and b is the length and width. For example, the premises parameters 3 and 4 meters, then the desired value will be 12 square meters. m.

How to calculate the floor area

In the case when the room has a fireplace or built-in furniture items, then you need to know their area and deduct out of the total area. In the case of major repairs of the floor, all the excess indoors will have to dismantle.

Calculation of the Room Square of the Incorrect Planning

It is much more difficult to calculate the room with a polygonal shape. Often in brick houses in the layout there are niches, triangular recesses and rounded elements, as in the photo.

In this case, before calculating the square of the floor, the room scheme should be divided into separate zones. For example, if the room has a M-shaped layout, it should be divided into 2 rectangles, after which it is to calculate the area of ​​each of them and the results obtained are folded.

Learning the area of ​​triangular room

When another part of the room is not perpendicular to the main area, it means that there is also a triangle between two rectangles, which has a straight angle.

In this case, the triangle area is calculated by the formula: S = (a x b): 2 and add to the total result. For example, a = 2, b = 3, then S = (2x3): 2 = 3 m².

You can otherwise determine the area:

  1. Previously calculate the square of the rectangle.
  2. Determine the area of ​​the beveled triangular corner.
  3. From the square of the rectangle, the triangle area is deducted.

how to calculate the square of the floor

In the case when the triangle does not have a straight angle, then the GEONO formula S = √P (p - a) (p - b) is used (p - c).

For example, its parties are equal to 5, 6 and 7 meters, then the calculations are made as follows:

  1. Learn the half-versioner of the triangle P = (5 + 6 + 7): 2 = 9.
  2. In the formula of Geron, digital values ​​are substituted and the result is obtained: √ (9 x (9-7) x (9-6) x (9-5) = 14.7 m².

Quadrature Rooms Rooms

Often, a similar form is present at the windows in the houses of the old building or on the balconies that are combined with rooms. First, 1/2 of the protruding part of the circle is calculated and added to the rectangle area, applying the formula S = πr²: 2, in which:

π = 3.14;

R² - the radius of the circle, erected into the square.

For example, in the room there is a semicircular shape balcony with a radius of 1.5 meters. Substituting this number in the formula, we obtain the result: S = 3.14x (1.5) ²: 2 = 3.5 m². READ ALSO: "How to calculate square meters of the floor with different shapes of the rooms."

How to calculate the area of ​​the room

The order for calculating the area of ​​the walls and the floor is different. The fact is that before calculating the square of the floor, you should find out the length and width of the room, and to calculate the walls it will be necessary to measure its height. Therefore, first recognize the perimeter of the room and multiply to the height of the ceilings.

How to find out the floor area

For example, floor parameters 3 and 4 meters, and the height of the room is 3 meters. In this case, the perimeter of the walls will be equal to (3 + 4) x2 = 14 m., And their area S = 14x3 = 42 m².

It should not forget about the square of windows and doors. Their area is subtracted after the completion of wall calculations. But on the other hand, they can not take into account and thereby ensure some stock of materials.

Proportions between floor and windows

According to SNiP 31-01-2003, windows parameters and their number should depend on the floor quadrature. So for residential apartment buildings, the ratio between the areas of window openings and the floor surface will be, ranging from 1: 5.5 to 1: 8. As for the upper floors, the minimum proportion of 1:10 is allowed there.

For private households, this rate regulates SNiP 31-02-2001. According to this documentation, for every 8 "squares" of the surface of the floor should have at least one "square" of the source of the natural light flux. On the attic floors this proportion can not be less than 1:10.

To ensure high-quality repair, you need to find out in advance how to calculate the floor area and other necessary rooms. The preparatory stage also provides for the acquisition of building materials and then in the process of repairing the costs will be minimized, because they will not work in large balances and the shipping cost will be carried out inexpensively.

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