Square centimeters to square meters. We recall the formula for calculating the area of \u200b\u200ba room: a square meter is how much and how to measure
Choose a tape measure or measuring tape. Choose a tape measure or measuring tape that has markings in centimeters (cm) or meters (m). This fixture will make it easier to calculate the area in square meters, since they were designed in the same measurement system.
If you can find a tape measure in feet or inches, measure the area using the available units of measure, and then proceed to the step that describes how to convert other units of measure to square meters.
Measure the length of the area you have chosen. A square meter is a unit of measurement for the area or size of a two-dimensional object such as a floor or field. Measure the length of one side from one corner to the other and record the result.
If the length is more than one meter, then count both meters and centimeters. For example, 2 meters 35 centimeters.
If the object you are measuring is not a rectangle or square, then read the third section of this article - "Measuring the area of complex shapes."
If you cannot measure the length at a time, do it in stages. Unfold the tape measure and make a mark where it ended (for example, 1 meter or 25 centimeters), then unfold it again and start from the marked area. Repeat until you have measured the entire length. Then add all the measurements together.
Measure the width. Use the same tape measure to measure the width of an object. The measurement must be started by placing the tape measure at an angle of 90º with respect to the length of the object that you have already measured. That is, two lines of a square adjacent to each other. The resulting numbers also write down on paper.
If the measured length is slightly less than one meter, then round to the nearest centimeter when you take measurements. For example, if the width is slightly larger than 1 meter 8 centimeters, then simply write "1 m. 8 cm." don't count millimeters.
Convert centimeters to meters. Usually, measurements cannot be made exactly in meters. You will get indicators in both meters and centimeters, for example, "2 meters 35 centimeters." 1 centimeter = 0.01 meters, so you can convert centimeters to meters by moving the decimal point 2 digits to the left. Here are some examples.
35cm=0.35m so 2m 35cm=2m+0.35m= 2.35m
8cm = 0.08m, so 1m 8cm = 1.08m
Multiply the length by the width. Once you convert all measurements to meters, multiply the length by the width and get the area of \u200b\u200bthe object being measured. Use a calculator if necessary. For example:
2.35m x 1.08m = 2.538 square meters (m2).
Round up. If you get a lot of decimal places, for example, 2.538 square meters, then round up, for example, to 2.54 square meters. It is likely that you did not take measurements to the nearest millimeter, so last figures still won't be accurate. In most cases, we round to the nearest centimeter (0.01m). If you need more accurate measurements, read this material.
Every time you multiply two numbers with the same unit of measure (eg meters), the answer must be written in the same unit of measure (m 2 , or square meters).
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square meter square kilometer square hectometer square decameter square decimeter square centimeter square millimeter square micrometer square nanometer hectare ar barn square mile sq. mile (US survey) square yard square foot² sq. ft (US, survey) square inch circular inch township section acre acre (US, survey) ore square chain square rod² (US, survey) square perch square rod sq. thousandth circular mil homestead sabine arpan cuerda square castilian cubit varas conuqueras cuad electron cross-section tithe (official) household tithe round square verst square arshin square foot square sazhen square inch (Russian) square line Plank area
Magnetomotive force
More about the area
General information
Area is the size geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering and other sciences, such as computing cross section cells, atoms, or pipes such as blood vessels or water pipes. In geography, area is used to compare the sizes of cities, lakes, countries, and other geographic features. Area is also used in population density calculations. Population density is defined as the number of people per unit area.
Units
Square meters
Area is measured in SI units in square meters. One square meter is the area of a square with a side of one meter.
unit square
A unit square is a square with sides of one unit. The area of a unit square is also equal to unity. In a rectangular coordinate system, this square is at coordinates (0,0), (0,1), (1,0) and (1,1). On the complex plane, the coordinates are 0, 1, i and i+1, where i is an imaginary number.
Ar
Ar or sotka, as a measure of area, is used in the CIS countries, Indonesia and some other European countries, to measure small urban objects such as parks, when a hectare is too large. One are is equal to 100 square meters. In some countries, this unit is called differently.
Hectare
Real estate is measured in hectares, especially land. One hectare is equal to 10,000 square meters. It has been used since French Revolution, and is applicable in the European Union and some other regions. As well as ar, in some countries the hectare is called differently.
Acre
In North America and Burma, area is measured in acres. Hectares are not used there. One acre is equal to 4046.86 square meters. Initially, an acre was defined as the area that a peasant with a team of two oxen could plow in one day.
barn
Barns are used in nuclear physics to measure the cross section of atoms. One barn equals 10⁻²⁸ square meters. Barn is not a unit in the SI system, but is accepted for use in this system. One barn is approximately equal to the cross-sectional area of the uranium nucleus, which physicists jokingly called "huge as a barn." Barn in English "barn" (pronounced barn) and from a joke of physicists, this word became the name of a unit of area. This unit originated during World War II, and was liked by scientists because its name could be used as a code in correspondence and telephone conversations within the Manhattan Project.
Area calculation
The area of the simplest geometric figures is found by comparing them with the square of a known area. This is convenient because the area of a square is easy to calculate. Some formulas for calculating the area of geometric shapes below are obtained in this way. Also, to calculate the area, especially a polygon, the figure is divided into triangles, the area of \u200b\u200beach triangle is calculated using the formula, and then added. The area of more complex figures is calculated using mathematical analysis.
Area formulas
Square: square side.
Rectangle: product of the parties.
Triangle (side and height are known): the product of a side and the height (the distance from that side to the edge) divided in half. Formula: A = ½ah, where A- square, a- side, and h- height.
Triangle (two sides and the angle between them are known): the product of the sides and the sine of the angle between them, divided in half. Formula: A = ½ab sin(α), where A- square, a and b are the sides, and α is the angle between them.
Equilateral triangle: side, squared, divided by 4 times Square root out of three.
Parallelogram: the product of a side and the height measured from that side to the opposite side.
Trapeze: the sum of two parallel sides multiplied by the height, divided by two. Height is measured between these two sides.
A circle: the product of the square of the radius and π.
Ellipse: product of semiaxes and π.
Surface area calculation
You can find the surface area of simple three-dimensional figures, such as prisms, by unfolding this figure on a plane. It is impossible to obtain a ball scan in this way. The surface area of a sphere is found using the formula by multiplying the square of the radius by 4π. From this formula it follows that the area of a circle is four times less area surface of a sphere with the same radius.
Surface areas of some astronomical objects: Sun - 6.088 x 10¹² square kilometers; Earth - 5.1 x 10⁸; thus, the surface area of the Earth is about 12 times smaller than the surface area of the Sun. The surface area of the Moon is approximately 3.793 x 10⁷ square kilometers, which is about 13 times smaller than the surface area of the Earth.
planimeter
The area can also be calculated using a special device - a planimeter. There are several types of this device, for example, polar and linear. Also, planimeters are analog and digital. In addition to other features, digital planimeters can be scaled to make it easier to measure features on a map. The planimeter measures the distance traveled along the perimeter of the measured object, as well as the direction. The distance traveled by the planimeter parallel to its axis is not measured. These devices are used in medicine, biology, engineering, and agriculture.
Area properties theorem
According to the isoperimetric theorem, of all figures with the same perimeter, the most big square at the circle. If, on the contrary, we compare figures with the same area, then the circle has the smallest perimeter. The perimeter is the sum of the lengths of the sides of a geometric figure, or a line that marks the boundaries of this figure.
Geographic features with the largest area
Country: Russia, 17,098,242 square kilometers, including land and water. The second and third largest countries are Canada and China.
City: New York is the city with the largest area at 8,683 square kilometers. The second largest city is Tokyo, covering 6,993 square kilometers. The third is Chicago, with an area of 5498 square kilometers.
City Square: The largest area, covering 1 square kilometer, is located in the capital of Indonesia, Jakarta. This is Medan Merdeka Square. The second largest area at 0.57 square kilometers is Praça dos Giraçois in the city of Palmas, in Brazil. The third largest is Tiananmen Square in China, 0.44 square kilometers.
Lake: Geographers argue whether the Caspian Sea is a lake, but if it is, then it is the largest lake in the world with an area of 371,000 square kilometers. The second largest lake is Lake Superior in North America. It is one of the lakes of the Great Lakes system; its area is 82,414 square kilometers. The third largest is Lake Victoria in Africa. It covers an area of 69,485 square kilometers.
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 correct form, without protruding parts, calculating the area of \u200b\u200bthe room is simple. 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 they measure all the necessary dimensions, make calculations according to known formulas (there is in the 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 doesn't 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:
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:
square of small walls: 2.5 m * 3.2 m = 8 sq.m.
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.
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.
What is weaving, ar, hectare, square kilometer? How many hectares, square meters and kilometers in one are (hundred) of land? How many square meters, kilometers and acres are in one hectare of land? How many acres, hectares and square meters in one square kilometer?
How many square meters in 1, 10, 100, 1000 acres: table
What is an acre of land? Weave of land is a unit of measurement of the size of the site, weaving is equal to one hundred square meters.
The following units are used to measure areas: square millimeter (mm 2), square centimeter(cm 2), square decimeter (dm 2), square meter (m 2) and square kilometer (km 2). For example, a square meter is the area of a square with a side of 1 m, and a square millimeter is the area of a square with a side of 1 mm.
You can also say that in one weave of 100 square meters. meters and it will be correct if we say in hectares that one weave is one hundredth of a hectare.
Weaving is a unit of measurement for the size of a plot, which is often used in summer cottages or agriculture. In science, it is customary to use an analogue of weaving - ar. Ar (weaving) - the area of a square with a side of 10 m.
Based on the name of this measure, you can already guess that we are talking about hundreds of meters.
Indeed, one weave is equal to 100 m 2.
In other words, one weave will be equal to the area of a square with sides of 10 m.
Accordingly, in ten acres there will be 1000 m 2.
100 acres contain 10,000 m 2, and 1000 acres contain 100,000 m 2.
In other words, to calculate how many square meters are in a given number of acres, you need to multiply the acres by 100.
1 dm 2 \u003d 100 cm 2 \u003d 10000 mm 2 \u003d 0.01 m 2
1 m 2 \u003d 100 dm 2 \u003d 10000 cm 2
1 ar (weave) \u003d 100 m 2
1 ha (hectare) \u003d 10000 m 2
How many acres in 1, 10, 100 square meters: table
Area units conversion table
Area units
1 sq. km.
1 hectare
1 acre
1 weaving
1 sq.m.
1 sq. km.
1
100
247.1
10.000
1.000.000
1 hectare
0.01
1
2.47
100
10.000
1 acre
0.004
0.405
1
40.47
4046.9
1 weaving
0.0001
0.01
0.025
1
100
1 sq.m.
0.000001
0.0001
0.00025
0.01
1
The area measurement system adopted in Russia land plots
1 weave = 10 meters x 10 meters = 100 sq.m
1 hectare \u003d 1 ha \u003d 100 meters x 100 meters \u003d 10,000 square meters \u003d 100 acres
1 square kilometer = 1 sq. km = 1000 meters x 1000 meters = 1 million sq. m = 100 hectares = 10,000 acres
Inverse units
1 sq. m = 0.01 acres = 0.0001 ha = 0.000001 sq. km
1 weave \u003d 0.01 ha \u003d 0.0001 sq. km
To calculate how many acres are in square meters, you need to divide the given number of square meters by 100.
Thus, in 1 m 2 there are 0.01 weave, in 10 m 2 - 0.1 weave, and in 100 m 2 - 1 weave.
What is a hectare of land?
Hectare- a unit of area in the metric system of measures used to measure land. Field areas are measured in hectares (ha). A hectare is the area of a square with a side of 100 m. So, 1 ha is equal to 100,100 square meters, that is, 1 ha = 10,000 m 2.
Abbreviated designation: Russian ha, international ha. The name "hectares" is formed by adding the prefix "hecto..." to the name of the area unit "ar"
1 ha \u003d 100 ar \u003d 100 m x 100 m \u003d 10,000 m 2
A hectare is a unit of measurement for the size of a plot, which is equal to the area of a square with sides of 100 m. A hectare, like a weave, is mainly used as measuring units only in agriculture and summer cottages.
The designation of a hectare looks like "ha".
One hectare is equal to 10,000 m 2 or 100 acres.
How many square meters in 1, 10, 100, 1000 hectares: table
In order to calculate how many square meters in a given number of hectares, you need to multiply the number of hectares by 10,000.
Thus, there are 10,000 m 2 in 1 ha, 100,000 m 2 in 10 ha, 1,000,000 m 2 in 100 ha, and 1,000,000 m 2 in 1000 ha.
Thus, one hectare corresponds to 10,000 m2. It can easily fit a football field (0.714 hectares) or more than 16 summer cottages(the area of each is 6 acres). Well, Red Square will be twice as large as one hectare, its area is 24,750 m 2.
1 square kilometer is 100 times larger than 1 hectare. Similarly, we determine: 1 ha - how many acres are in the composition. One weave covers an area of 100 square meters. Therefore, in comparison with a hectare, weaving is 100 times less than a hectare.
1 weaving\u003d 10 x 10 meters \u003d 100 m 2 \u003d 0.01 ha
1 hectare (1 ha)\u003d 100 x 100 meters or 10,000 m 2 or 100 acres
1 square kilometer (1 km2)\u003d 1000 x 1000 meters or 1 million m 2 or 100 hectares or 10,000 acres
1 square meter (1 m 2)= 0.01 acres = 0.0001 ha
How many acres in 1, 10, 100, 1000 ha: table
Units
1 km 2
1 ha
1 acre
1 weaving
1 m 2
1 km 2
1
100
247.1
10000
1000000
1 ha
0.01
1
2.47
100
10000
1 acre
0.004
0.405
1
40.47
4046.9
1 weaving
0.0001
0.01
0.025
1
100
1 m 2
0.000001
0.000001
0.00025
0.01
1
To calculate how many acres corresponds to a given number of hectares, you need to multiply the number of hectares by 100.
So, in 1 hectare there are 100 acres, in 10 hectares - 1000 acres, in 100 hectares - 10,000 acres, and in 1000 hectares - 100,000 acres.
How many hectares in 1, 10, 100, 1000, 10,000 acres, square meters: table
ha
ar
m 2
cm 2
1 km 2
100 ha
10 000 are
1,000,000 m2
1,000,000,000 cm2
1 ha
1 ha
100 are
10 000 m2
100,000,000 cm2
1 are
0.01 ha
1ar
100 m2
1,000,000 cm2
1 m 2
0.0001 ha
0.01 are
1 m 2
10,000 cm2
To calculate how many hectares are contained in a given number of acres, you need to divide the number of acres by 100.
And in order to carry out such calculations with square meters, it is necessary to divide their number by 10,000.
So, in 1 acres there are 0.01 ha, in 10 acres - 0.1 ha, in 100 acres - 1 ha, in 1000 acres - 10 hectares, in 10,000 acres - 100 hectares.
In turn, in 1 m 2 there are 0.0001 ha, in 10 m 2 - 0.001 ha, in 100 m 2 - 0.01 ha, in 1000 m 2 - 0.1 ha, and in 10000 m 2 - 1 ha.
How many square kilometers are in 1 hectare?
1 ha \u003d 10,000 m 2
1 km 2 \u003d 100 ha
A square kilometer is a unit of land area measurement, equal to the area of a square with sides of 1000 meters.
There are 100 hectares in one square kilometer.
Thus, to calculate the number of square kilometers in a hectare, it is necessary to divide its given number by 100.
So, in 1 ha there are 0.01 km 2
What is 1 are equal to?
Ar a unit of area in the metric system of measures, equal to the area of a square with a side of 10 m
1 ar \u003d 10 m x 10 m \u003d 100 m 2
.
1 tithe = 1.09254 ha.
Arom is a unit of measure for the size of a plot, equal to the area of a square with sides of 10 m.
In other words, ar is equal to a hundredth.
In 1 are there are 100 m 2, 1 weave, 0.01 ha, 0.0001 km 2.
How many ares are in one hectare?
There are 100 ares in one hectare, just like acres.
What is 1 acre equal to?
Acre land measure applied in a number of countries using English system measures (Great Britain, USA, Canada, Australia, etc.).
1 acre \u003d 4840 sq. yards \u003d 4046.86 m 2
Old Russian units of area measurement
1 sq. verst = 250,000 sq. fathoms = 1.1381 km²
1 tithe = 2400 sq. fathoms = 10,925.4 m² = 1.0925 ha
1 quarter = 1/2 tithe = 1200 sq. fathoms = 5462.7 m² = 0.54627 ha
1 octopus \u003d 1/8 tithe \u003d 300 square sazhens \u003d 1365.675 m² ≈ 0.137 ha.
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1 square meter [m²] = 10000 square centimeter [cm²]
Initial value
Converted value
square meter square kilometer square hectometer square decameter square decimeter square centimeter square millimeter square micrometer square nanometer hectare ar barn square mile sq. mile (US survey) square yard square foot² sq. ft (US, survey) square inch circular inch township section acre acre (US, survey) ore square chain square rod² (US, survey) square perch square rod sq. thousandth circular mil homestead sabine arpan cuerda square castilian cubit varas conuqueras cuad electron cross-section tithe (official) household tithe round square verst square arshin square foot square sazhen square inch (Russian) square line Plank area
More about the area
General information
Area is the size of a geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering, and other sciences, such as calculating the cross section of cells, atoms, or pipes such as blood vessels or water pipes. In geography, area is used to compare the sizes of cities, lakes, countries, and other geographic features. Area is also used in population density calculations. Population density is defined as the number of people per unit area.
Units
Square meters
Area is measured in SI units in square meters. One square meter is the area of a square with a side of one meter.
unit square
A unit square is a square with sides of one unit. The area of a unit square is also equal to unity. In a rectangular coordinate system, this square is at coordinates (0,0), (0,1), (1,0) and (1,1). On the complex plane, the coordinates are 0, 1, i and i+1, where i is an imaginary number.
Ar
Ar or sotka, as a measure of area, is used in the CIS countries, Indonesia and some other European countries, to measure small urban objects such as parks, when a hectare is too large. One are is equal to 100 square meters. In some countries, this unit is called differently.
Hectare
Real estate is measured in hectares, especially land plots. One hectare is equal to 10,000 square meters. It has been in use since the French Revolution, and is used in the European Union and some other regions. As well as ar, in some countries the hectare is called differently.
Acre
In North America and Burma, area is measured in acres. Hectares are not used there. One acre is equal to 4046.86 square meters. Initially, an acre was defined as the area that a peasant with a team of two oxen could plow in one day.
barn
Barns are used in nuclear physics to measure the cross section of atoms. One barn equals 10⁻²⁸ square meters. Barn is not a unit in the SI system, but is accepted for use in this system. One barn is approximately equal to the cross-sectional area of the uranium nucleus, which physicists jokingly called "huge as a barn." Barn in English "barn" (pronounced barn) and from a joke of physicists, this word became the name of a unit of area. This unit originated during World War II, and scientists liked it because its name could be used as a code in correspondence and telephone conversations within the Manhattan Project.
Area calculation
The area of the simplest geometric figures is found by comparing them with the square of a known area. This is convenient because the area of a square is easy to calculate. Some formulas for calculating the area of geometric shapes below are obtained in this way. Also, to calculate the area, especially a polygon, the figure is divided into triangles, the area of \u200b\u200beach triangle is calculated using the formula, and then added. The area of more complex figures is calculated using mathematical analysis.
Area formulas
Square: square side.
Rectangle: product of the parties.
Triangle (side and height are known): the product of a side and the height (the distance from that side to the edge) divided in half. Formula: A = ½ah, where A- square, a- side, and h- height.
Triangle (two sides and the angle between them are known): the product of the sides and the sine of the angle between them, divided in half. Formula: A = ½ab sin(α), where A- square, a and b are the sides, and α is the angle between them.
Equilateral triangle: side, squared, divided by 4 times the square root of three.
Parallelogram: the product of a side and the height measured from that side to the opposite side.
Trapeze: the sum of two parallel sides multiplied by the height, divided by two. Height is measured between these two sides.
A circle: the product of the square of the radius and π.
Ellipse: product of semiaxes and π.
Surface area calculation
You can find the surface area of simple three-dimensional figures, such as prisms, by unfolding this figure on a plane. It is impossible to obtain a ball scan in this way. The surface area of a sphere is found using the formula by multiplying the square of the radius by 4π. From this formula it follows that the area of a circle is four times less than the surface area of a ball with the same radius.
Surface areas of some astronomical objects: Sun - 6.088 x 10¹² square kilometers; Earth - 5.1 x 10⁸; thus, the surface area of the Earth is about 12 times smaller than the surface area of the Sun. The surface area of the Moon is approximately 3.793 x 10⁷ square kilometers, which is about 13 times smaller than the surface area of the Earth.
planimeter
The area can also be calculated using a special device - a planimeter. There are several types of this device, for example, polar and linear. Also, planimeters are analog and digital. In addition to other features, digital planimeters can be scaled to make it easier to measure features on a map. The planimeter measures the distance traveled along the perimeter of the measured object, as well as the direction. The distance traveled by the planimeter parallel to its axis is not measured. These devices are used in medicine, biology, engineering, and agriculture.
Area properties theorem
According to the isoperimetric theorem, of all figures with the same perimeter, the circle has the largest area. If, on the contrary, we compare figures with the same area, then the circle has the smallest perimeter. The perimeter is the sum of the lengths of the sides of a geometric figure, or a line that marks the boundaries of this figure.
Geographic features with the largest area
Country: Russia, 17,098,242 square kilometers, including land and water. The second and third largest countries are Canada and China.
City: New York is the city with the largest area at 8,683 square kilometers. The second largest city is Tokyo, covering 6,993 square kilometers. The third is Chicago, with an area of 5498 square kilometers.
City Square: The largest area, covering 1 square kilometer, is located in the capital of Indonesia, Jakarta. This is Medan Merdeka Square. The second largest area at 0.57 square kilometers is Praça dos Giraçois in the city of Palmas, in Brazil. The third largest is Tiananmen Square in China, 0.44 square kilometers.
Lake: Geographers argue whether the Caspian Sea is a lake, but if it is, then it is the largest lake in the world with an area of 371,000 square kilometers. The second largest lake is Lake Superior in North America. It is one of the lakes of the Great Lakes system; its area is 82,414 square kilometers. The third largest is Lake Victoria in Africa. It covers an area of 69,485 square kilometers.
