How to calculate square meters of a room. How to calculate the area of a room in square meters

20.06.2020

Periodically, we need to know the area and volume of the room. This data may be needed when designing heating and ventilation, when purchasing building materials, and in many other situations. It is also periodically required to know the area of \u200b\u200bthe walls. All these data are calculated easily, but first you have to work with a tape measure - measure all the required dimensions. How to calculate the area of \u200b\u200bthe room and walls, the volume of the room and will be discussed further.

Room area in square meters

Roulette. Better - with a latch, but a regular one will do.
Paper and pencil or pen.
Calculator (or count in a column or in your head).

A set of tools is simple, there is in every household. It is easier to measure with an assistant, but you can do it yourself.

First you need to measure the length of the walls. It is desirable to do this along the walls, but if they are all full of heavy furniture, you can take measurements in the middle. Only in this case, make sure that the tape measure lies along the walls, and not obliquely - the measurement error will be less.

Rectangular room

If the room is of the correct shape, without protruding parts, it is easy to calculate the area of \u200b\u200bthe room. Measure the length and width, write it down on a piece of paper. Write the numbers in meters, put centimeters after the decimal point. For example, length 4.35 m (430 cm), width 3.25 m (325 cm).

We multiply the found numbers, we get the area of \u200b\u200bthe room in square meters. If we turn to our example, we get the following: 4.35 m * 3.25 m = 14.1375 sq. m. In this value, usually two digits after the decimal point are left, which means we round off. In total, the calculated quadrature of the room is 14.14 square meters.

Irregular room

If you need to calculate the area of the room irregular shape, it is divided into simple shapes - squares, rectangles, triangles. Then everything is measured. the right dimensions, make calculations according to known formulas (there is a table just below).

One example is in the photo. Since both are rectangles, the area is calculated using the same formula: multiply the length by the width. The figure found must be subtracted or added to the size of the room, depending on the configuration.

Complex room area

We consider the quadrature without a ledge: 3.6 m * 8.5 m = 30.6 sq. m.
We consider the dimensions of the protruding part: 3.25 m * 0.8 m = 2.6 sq. m.
We add two values: 30.6 square meters. m. + 2.6 sq. m. = 33.2 sq. m.

There are also rooms with sloping walls. In this case, we split it so that we get rectangles and a triangle (as in the figure below). As you can see, for this case it is required to have five sizes. It could have been split differently by putting a vertical rather than a horizontal line. It does not matter. It just requires a set of simple shapes, and the way they are selected is arbitrary.

In this case, the calculation order is:

We consider the large rectangular part: 6.4 m * 1.4 m \u003d 8.96 square meters. m. If we round up, we get 9.0 sq.m.
We calculate a small rectangle: 2.7 m * 1.9 m \u003d 5.13 square meters. m. Rounding up, we get 5.1 square meters. m.
We calculate the area of the triangle. Since it is with a right angle, it is equal to half the area of a rectangle with the same dimensions. (1.3 m * 1.9 m) / 2 = 1.235 sq. m. After rounding, we get 1.2 square meters. m.
Now we add everything up to find the total area of the room: 9.0 + 5.1 + 1.2 \u003d 15.3 square meters. m.

The layout of the premises can be very diverse, but general principle you understand: we divide into simple figures, measure all the required dimensions, calculate the quadrature of each fragment, then add everything up.

Another important note: the area of \u200b\u200bthe room, floor and ceiling are all the same values. Differences can be if there are some semi-columns that do not reach the ceiling. Then the quadrature of these elements is subtracted from the total quadrature. The result is the floor area.

How to calculate the square of the walls

Determining the area of walls is often required when purchasing finishing materials- wallpaper, plaster, etc. This calculation requires additional measurements. To the already existing width and length of the room you will need:

ceiling height;
height and width doorways;
height and width of window openings.

All measurements are in meters, since the square of the walls is also usually measured in square meters.

Since the walls are rectangular, the area is calculated as for a rectangle: we multiply the length by the width. In the same way, we calculate the dimensions of windows and doorways, subtract their dimensions. For example, we calculate the area of \u200b\u200bthe walls shown in the diagram above.

Wall with a door:
- 2.5 m * 5.6 m = 14 square meters m. - the total area of \u200b\u200bthe long wall
- how much does a doorway take: 2.1 m * 0.9 m = 1.89 sq.m.
- wall excluding doorway - 14 sq.m - 1.89 sq.m. m = 12.11 sq. m
Wall with a window:
1. square of small walls: 2.5 m * 3.2 m = 8 sq.m.
2. how much does a window take up: 1.3 m * 1.42 m = 1.846 sq. m, rounding up, we get 1.75 sq.m.
3. wall without a window opening: 8 sq. m - 1.75 sq.m = 6.25 sq.m.

Finding the total area of the walls is not difficult. We add up all four numbers: 14 sq.m + 12.11 sq.m. + 8 sq.m. + 6.25 sq.m. = 40.36 sq. m.

Room volume

Some calculations require the volume of the room. In this case, three values are multiplied: width, length and height of the room. This value is measured in cubic meters(cubic meters), also called cubic capacity. For example, we use the data from the previous paragraph:

length - 5.6 m;
width - 3.2 m;
height - 2.5 m.

If we multiply everything, we get: 5.6 m * 3.2 m * 2.5 m = 44.8 m 3. So, the volume of the room is 44.8 cubic meters.

If you are planning a bathroom renovation and have chosen ceramic tiles, then you need to know exactly how much material you need. Otherwise, you can get into an unpleasant situation when you have to urgently buy more tiles, but this one may no longer be on sale, or you simply overpay for extra material. To prevent this from happening, you need to calculate the exact number of tiles, but in order to make a calculation, you first need to know the area of \u200b\u200bthe bathroom. Let's see how to do it.

When planning repairs, it is important to accurately calculate the area of the surface to be lined.

Where to begin

The first step is to find out the size of the room. In order to take measurements and calculate the area of the bathroom, we need a minimum set of tools that are in every home:

paper;
pen or pencil;
roulette;
calculator.

Before you start measuring, you need to draw a sketch of the bathroom on paper to make it easier to record the results and make a calculation. For maximum convenience, mark each wall in the drawing (for example, a wall with a door, a sink, etc.) and do not forget the floor as well.

For comfortable work, try to remove everything unnecessary from the floor and walls to provide free access to the entire perimeter of the room.

An example of a detailed sketch: a development of walls indicating the location of plumbing and tile layout

Taking measurements

So, let's start measuring. Using a tape measure, first of all, it is necessary to measure the width and length of the room, then the height of the walls. You will also need to measure the width and height of the doorway and other objects that will not be tiled. For example, some people choose not to tile behind the bathroom or leave the untiled surface behind the cabinet. All received data are recorded on paper.

When taking measurements, be sure to take into account possible unevenness of the room. Therefore, in order to avoid inaccuracies in the calculations, it is recommended to take measurements of each side, checking the values at several points.

Please note: in some rooms, the differences in the size of opposite walls can reach several centimeters, in which case it is recommended to take greater value, this will allow you to calculate with a small margin.

For accuracy of calculations, measurements should be carried out at several points

Calculations

Let's assume that the length of the room is 2.2 m, the width is 1.8 m, and the height of the walls is 2.8 m. By multiplying the length and width, we get the floor area in the bathroom:

2.2 x 1.8 = 3.96 m2

Similarly, we determine the area of \u200b\u200bthe doorway by multiplying its height by its width:

2 x 0.6 = 1.2 m2

Then we calculate the area of all the walls. Initially, we calculate the perimeter of the room:

2.2 + 2.2 + 1.8 + 1.8 = 8 m

Then multiply the perimeter of the room by the height of the walls:

8 x 2.8 = 22.4 m2

Then subtract the area of the doorway from the obtained value:

22.4 - 1.2 = 21.2 m2

Thus, we managed to find the area of all the walls in the bathroom. To find the total area of a room, sum up the area of the floor and walls:

3.96 + 21.2 = 25.16 m2

Now, knowing the total area of the bathroom, you can easily calculate the required number of tiles. To do this, you need to divide the area of \u200b\u200bthe room by the area of \u200b\u200bone tile, round the result to an integer and add 10%, this will help you avoid a lack of materials. Summing up, I would like to note that using these skills, anyone can easily take measurements of the room without outside help.

Starting any, you need to know how to calculate the area of \u200b\u200bthe room. This knowledge will help you choose the right amount of materials, as well as correctly calculate the dimensions. Such knowledge is also necessary when you need to check the area indicated in the documents.

Our review will help you remember school knowledge and tell you how to put it into practice. In addition, you can use a special calculator.

Important information! When performing calculations for a room with ledges, columns and niches, it is necessary to take into account their location and configuration.

How to calculate the area of a triangle

Let's figure out how to calculate the area of a triangle. If in an irregularly shaped room there is an element in the form right angle, then the following formula can be applied:

S=(a*b)/2;

There are other options for calculations. To calculate the area of a triangle, you can first determine the quadrature of the rectangle, and then calculate the area of the triangular corner. Then the value of the triangular part is subtracted from the quadrature of the rectangle.

If there is no right angle, then you can use Heron's formula:

S=√p(p-a)(p-b)(p-c);

Wherein a, b, c represent the sides of a triangle, and R- semiperimeter. To find out, all sides should be summed up, and then divided by 2.

To calculate the area of a given figure, you can multiply the length of the base by the height drawn from this base, and then divide the result by 2.

How to find the area of a rectangle

Often there are rooms that look like a rectangle. To calculate the area of a rectangle online calculator considered the best option. But simple calculations can be done independently. There should be no protruding parts. Measure the width and length. Entries must be made in meters.

To calculate the area of a rectangle, you need to multiply the obtained values. After the decimal point, you can leave only two digits, and round the rest.

The question often arises of how to calculate the area of a rectangle if there are niches. In this case, the space is divided into several figures, and they are considered separately. There is another formula for calculating area. In this case, the perimeter of the room must be multiplied by the height. To calculate the perimeter, you need to add the length and width, and then multiply them by two.

How to calculate the area of a trapezoid

To calculate the area of a trapezoid, it is important to know the lengths of the two parallel sides, as well as the height. In this case, the height is the perpendicular between the sides.

Here is a formula you can use:

S=½ (A+B)*h;

It should be borne in mind that nothing will change from the angles of the sides. But the height is recommended to measure in several places. This approach will make sure that the two sides are parallel.

Knowing such a formula is also useful when calculating the areas of premises of polygonal configurations. For example, an unusual space can be divided into a rectangle and a trapezoid.

There is also a special calculator for calculating rectangular and trapezoidal rooms. In this case, the difference is that the length of the rectangle will be the same. If necessary, you can make adjustments with the existing ledges and niches.

To determine the perimeter, you need to measure the lengths of the four sides, and then add them.

How to calculate the area of a circle

Sometimes it is required to calculate the area of a circle, since there may be separate sections of rounded configurations in the room. Such knowledge will also be useful when calculating arched door or window openings. Consider shapes based on a circle. Most often there are segments, quarters of a circle or semicircles.

Such calculations are necessary if there is a bay window or a combination of a balcony with a room. In this case, the value of the protruding circle is first determined, and then the resulting indicator is added to the rest of the area.

The following formula is used to calculate the area of a circle:

S=πR²/2,

π equals 3.14. A R² is the radius of the circle squared.

Correct calculation of the sector and segment area

A special formula for the area of a sector of a circle is included in the calculator for calculations. Such a formula looks like this:

S= R²*arcsin (c/2R) -0.25*C*√(4 R²-C²);

How to calculate the area of a room: a method for calculating the floor

You can calculate the floor area. This procedure consists of the following steps. First of all, you need to free the walls of the room. It is better to take measurements in an empty room. If the room is rectangular, then you can multiply the two sides. In reality, the sides may differ slightly, which is why it is important to measure all sides. In some cases, the room may not be the correct configuration. In such a situation, the entire space is divided into separate rectangles. In this case, you can draw a diagram with all sizes. Then the area of individual plots is calculated. By the way, the room will not necessarily consist only of rectangles. It can contain triangles and even circles.

If you do not know how to calculate the square meters of a room, then you can use a special calculator. When calculating the dimensions, it is not necessary to observe all dimensions up to a centimeter. Rounding is often used. Sometimes it is required to take into account different recesses and ledges in the walls.

When calculating, it is important to take into account their purpose. If you need to know the values \u200b\u200bfor installation, then you can ignore the space occupied by heavy furniture.

There are options when different floor levels are used in the room. In such a situation, it is also required to divide the room into separate zones. Do not take measurements along the wall, as it may have a curved surface.

It is difficult to determine the area by the floor, which has a variety of protrusions in the form of waves or semicircles.

For your information! If the room is L-shaped, then in addition to two rectangular figures, there is also a triangle in it. To determine its area, you can multiply one leg by another.

How to calculate wall area

To determine the area of the walls, you need to know how to calculate the perimeter of the room. Determination of the area is often required for the purchase of all kinds of finishing materials. In addition to the length and width of the room, you will need to find out the height of the room, as well as the dimensions of the door and window openings.

When calculating, it should be borne in mind that the height of the ceilings, even in the same room, can vary, especially if. The values of all walls are calculated separately, and then window and door openings are subtracted from them.

The exact values can be determined using the calculator for calculating the area of \u200b\u200bthe walls of the room. Sometimes you need to determine the volume of the room. In such a situation, it is necessary to multiply three values: the length, width and height of the room. This indicator is measured in cubic meters.

If the room has a multi-level zoning, then you can carry out the following calculations:

measure all sections of the walls. Measurements are recommended to be taken closer to the ceiling;
calculate floor area indicators;
on each vertical section, it is necessary to measure the length and height, and then multiply these values;
add the indicators to the gender value.

Each room has optimal parameters that can be taken into account when planning a construction site. The minimum living space is 8 sq. m. Room general purpose, such as a hall or living room can have an area of 14 to 25 square meters. m. The minimum height of the room is 240 cm. If the ceiling is more than three meters, then such a space is more difficult to heat. The kitchen must have an area of at least 6 square meters. m.

The correct calculation of the area of \u200b\u200bthe room is a guarantee of high-quality conduct. This approach will minimize the cost of purchasing materials.

It is impossible to repair the floor surface without knowing the exact floor area in a private household or apartment. The fact is that today the cost building materials quite high, and every property owner tries to save as much as possible on their purchase. Therefore, information on how to calculate the floor area will not be superfluous for someone who prefers to make repairs with his own hands.

Why you need to know the floor area

Before starting work, you should decide on the scope of activities, plan costs and calculate the amount of building materials. To do this, you will need the original data. For this reason, it is important to know how to calculate the floor area accurately. This is especially true for uneven surfaces and rooms with a non-standard layout.

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

performance quality control construction works;
the need for redevelopment of the premises.

Determining the area of a rectangular room

Before you calculate the floor area, you should stock up on a calculator and a measuring tape. Most often there are rooms in the shape of a rectangle. To calculate their area, they use a formula known to everyone from school: S \u003d a x b, where a and b are the length and width. For example, a room has parameters of 3 and 4 meters, then the desired value will be 12 square meters. m.

In the event that the room has a fireplace or built-in furniture, then you need to find out their area and subtract from the total area. In case of overhaul floor, all unnecessary in the room will have to be dismantled.

Calculation of the area of the room of the wrong layout

It is much more difficult to calculate the area of a room that has a polygonal shape. Often in brick houses the layout contains niches, triangular recesses and rounded elements, as in the photo.

In this case, before calculating the quadrature of the floor, the layout of the room must be divided into separate zones. For example, if the room has an L-shaped layout, it should be divided into 2 rectangles, then calculate the area of \u200b\u200beach of them and add the results.

Finding the area of a triangular room

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

In this case, the area of \u200b\u200bthe triangle is calculated by the formula: S \u003d (a x b): 2 and added to grand total. For example, a \u003d 2, b \u003d 3, then S \u003d (2x3): 2 \u003d 3 m².

You can define the area in another way:

First calculate the square of the rectangle.
Determine the area of the beveled triangular corner.
Subtract the area of the triangle from the quadrature of the rectangle.

In the case when the triangle does not have a right angle, then use the Heron formula S \u003d √p (p - a) (p - b) (p - c).

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

Find out the semiperimeter of the triangle p = (5+6+7):2 = 9.
Digital values are substituted into the Heron formula and the result is obtained: √ (9 x (9-7) x (9-6) x (9-5) \u003d 14.7 m².

The square of the premises is rounded

Often a similar form is present at the windows in houses. old building or on balconies that are combined with rooms. First, calculate 1/2 of the protruding part of the circle and add to the area of the rectangle, applying the formula S = πR²: 2, in which:

R² is the radius of the circle squared.

How to calculate the area of the walls of a room

The procedure for calculating the area of \u200b\u200bwalls and floor is different. The fact is that before you calculate the quadrature of the floor, you should find out the length and width of the room, and to calculate the walls you will need to measure its height. Therefore, they first find out the perimeter of the room and multiply by the height of the ceilings.

For example, the floor parameters are 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.
In this case, one should not forget about the quadrature of the openings of windows and doors. Their area is subtracted after the completion of wall calculations. But on the other hand, they can be ignored and thus provide a certain supply of materials.

Proportions between floor and window area

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

For private households, this norm is regulated by SNiP 31-02-2001. According to this documentation, for every 8 "squares" of the floor surface, there must be at least one "square" of a source of natural light flux. On the attic floors, this proportion cannot be less than 1:10.

To ensure high-quality repairs, you need to find out in advance how to calculate the floor area and other required dimensions premises. Preparatory stage also provides for the purchase of building materials and then during the repair process, costs will be minimized, since there will not be large residues and the cost of delivery will be inexpensive.

Manual way Calculations on how to find out the floor area will take longer than when making calculations on an existing building calculator, but it allows you to find out more accurate results.