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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.
Often there is a need to correlate different units of measurement with each other. This can be important when measuring the length of a fabric cut, the area of a room, or the volume of a dish.
It would seem that it could be simpler, if one centimeter is a hundredth of a meter, then the answer to the question of how many centimeters are in 1 meter is obvious, that is, the value is 100. But the fact is that the number of cm depends very much on whether whether we are talking about linear cubic or square meter.
Now let's figure out how many centimeters are in a square meter? This value measures the area, and it is a square with a side of 1m. There are 100 cm in each meter, so 400 of them fit along the perimeter of a square one.
In order to estimate how many centimeters fit in the entire area of \u200b\u200bm², there is another unit similar to a square meter - a square centimeter.
And how many cm² in 1 m²? As already mentioned, a square meter is a square with a side of 1 m and an area of 1 sq.m. Accordingly, cm² is the same square with a side of 1 cm. They fit not 100 per m², as if we were talking about ordinary centimeters, but 10,000. Therefore, in 1 m² - 10,000 sq.cm.
To visually imagine why there is an increase in the number of centimeters by 100 times, you can take an ordinary notebook sheet in a box and draw a square on it.
How many cubic centimeters are in 1 cubic meter? It is still more difficult with cm³ than with square ones, since we are no longer talking about a square, but about a cube with a side of 1 m. Accordingly, cm³ fits in it even 100 times more - 1000,000.
Such a huge difference in size makes it necessary to use another unit of measurement - a cubic decimeter (liter), which is 1000 cc. Despite the fact that linear and square decimeters are rarely used.
As in the example with m² and cm², the number of centimeters in a meter is increased by another 100 times. This is more difficult to visualize than area units, but is also possible if desired.
To measure the perimeter m³ in linear centimeters, as well as its area - square, use the formulas for calculating the perimeter and surface area of volumetric bodies. The perimeter m³ will be 1200 cm, and the surface area will be 60,000 sq. cm.
How many centimeters in a running meter?
This question is much easier than all the previous ones. A running meter is a linear, ordinary meter used to measure length. And there are exactly as many linear centimeters in it as the name implies - 100.
cheat sheet
So, to make it easier to deal with units of measurement, they can be summarized in one table, in which their ratio will be visible, and it will be quite easy to convert one unit to another.
And a little more information on the topic - in the next video.
Length and Distance Converter Mass Converter Bulk Food and Food Volume Converter Area Converter Volume and Recipe Units Converter Temperature Converter Pressure, Stress, Young's Modulus Converter Energy and Work Converter Power Converter Force Converter Time Converter Linear Velocity Converter Flat Angle Converter thermal efficiency and fuel efficiency Converter of numbers in different number systems Converter of units of measurement of quantity of information Currency rates Dimensions of women's clothing and shoes Dimensions of men's clothing and shoes Angular velocity and rotational frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific calorific value converter (by mass) Energy density and specific calorific value converter (by volume) Temperature difference converter Coefficient converter Thermal Expansion Coefficient Thermal Resistance Converter Thermal Conductivity Converter Specific Heat Capacity Converter Energy Exposure and Radiant Power Converter Heat Flux Density Converter Heat Transfer Coefficient Converter Volume Flow Converter Mass Flow Converter Molar Flow Converter Mass Flux Density Converter Molar Concentration Converter Mass Concentration in Solution Converter Dynamic ( Kinematic Viscosity Converter Surface Tension Converter Vapor Permeability Converter Vapor Permeability and Vapor Transfer Velocity Converter Sound Level Converter Microphone Sensitivity Converter Sound Pressure Level (SPL) Converter Sound Pressure Level Converter with Selectable Reference Pressure Brightness Converter Luminous Intensity Converter Illuminance Converter graph Frequency and Wavelength Converter Power to Diopter x and Focal Length Diopter Power and Lens Magnification (×) Electric Charge Converter Linear Charge Density Converter Surface Charge Density Converter Bulk Charge Density Converter Electric Current Converter Linear Current Density Converter Surface Current Density Converter Electric Field Strength Converter Electrostatic Potential and Voltage Converter Converter Electrical Resistance Electrical Resistivity Converter Electrical Conductivity Converter Electrical Conductivity Converter Capacitance Inductance Converter American Wire Gauge Converter Levels in dBm (dBm or dBmW), dBV (dBV), watts, etc. units Magnetomotive force converter Magnetic field strength converter Magnetic flux converter Magnetic induction converter Radiation. Ionizing Radiation Absorbed Dose Rate Converter Radioactivity. Radioactive Decay Converter Radiation. Exposure Dose Converter Radiation. Absorbed Dose Converter Decimal Prefix Converter Data Transfer Typography and Image Processing Unit Converter Timber Volume Unit Converter Calculation of Molar Mass Periodic Table of Chemical Elements by D. I. Mendeleev
1 square meter [m²] = 100 square decimeter [dm²]
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
Magnetomotive force
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.
Find the area of a circle using the formula: S \u003d π × r 2. To find the area of a circle in square centimeters, you need to know the distance in centimeters from the center of the circle to the line of its circumference. This distance is called radius circles. Once the radius is known, label it with a letter r from the above formula. Multiply the radius value by itself and the number π (3.1415926...) to find the area of a circle in square centimeters.
- For example, the area of a circle with a radius of 4 cm will be 50.27 square centimeters as a result of multiplying 3.14 and 16.
Calculate the area of a triangle using the formula: S = 1/2 b × h. The area of a triangle in square centimeters is calculated by multiplying half the length of its base b(in centimeters) to its height h(in centimeters). The base of the triangle is one of its sides, while the height of the triangle is the perpendicular dropped to the base of the triangle from the vertex opposite to it. The area of a triangle can be calculated using the length of the base and the height along either side of the triangle and the vertex opposite to it.
- For example, if the length of the base of a triangle is 4 cm, and the height drawn to the base is 3 cm, the area will be: 2 x 3 = 6 square centimeters.
Find the area of a parallelogram using the formula: S = b × h. Parallelograms are similar to rectangles with one exception - their angles are not necessarily 90 degrees. Accordingly, the calculation of the area of a parallelogram is carried out in a similar way for a rectangle: the length of the base side in centimeters is multiplied by the height of the parallelogram in centimeters. Any side is taken as the base, and the height is determined by the length of the perpendicular to it from the opposite obtuse angle of the figure.
- For example, if the length of the base of a parallelogram is 5 cm and its height is 4 cm, its area will be: 5 x 4 = 20 square centimeters.
Calculate the area of a trapezoid using the formula: S = 1/2 × h × (B+b). A trapezoid is a quadrilateral with two sides parallel to each other, and the other two are not. To determine the area of a trapezoid in square centimeters, you need to know three measurements (in centimeters): the length of the longer parallel side B, the length of the shorter parallel side b and the height of the trapezoid h(defined as the shortest distance between its parallel sides along a segment perpendicular to them). Add together the lengths of the two parallel sides, divide the sum in half and multiply by the height to get the area of the trapezoid in square centimeters.
- For example, if the longer of the parallel sides of the trapezoid is 6 cm, the shorter is 4 cm, and the height is 5 cm, the area of \u200b\u200bthe figure will be: ½ x (6 + 4) x 5 \u003d 25 square centimeters.
Find the area of a regular hexagon: S = ½ × P × a. The above formula is only valid for a regular hexagon with six equal sides and six equal angles. letter P the perimeter of the figure is indicated (or the product of the length of one side by six, which is true for a regular hexagon). letter a the length of the apothem is indicated - the distance from the center of the hexagon to the middle of one of its sides (the point located in the middle between two adjacent vertices of the figure). Multiply the perimeter and apothem in centimeters and divide the result by two to find the area of a regular hexagon.
The area is an important value, which is often operated by land owners. It is also used by farmers, builders and many others. What is such a value and how is it calculated? How much area is occupied by a square meter and how to calculate it?
Definition
Area is a two-dimensional characteristic of space that determines the size of geometric shapes. It is used in medicine, mathematics, agriculture, engineering. In geography, the value is used to determine the size of lakes and countries, as well as for the comparative characterization of cities and different localities. Also, using the area, the population density in a certain area is determined. How many square meters in 1 ha? To find out, you need to understand the units of measurement.
area units
There are several basic units by which area is measured. They allow you to imagine the scale of the measured territories. One of the most common values is square meter (m 2). It is often used to estimate the areas of residential, office and industrial premises. Yes, 1 sq. m is equal to a section of the plane, each side of which has a length of 1 m. To understand how many square centimeters are in a square meter, it is worth getting acquainted with units of measurement.
There are such quantities:
- Single square. Such a unit is a square in which the sides are equal to a certain unit. Unit is equal to its area.
- Ar. It is also called a hundred. Used to measure sufficiently large objects. One are equals 100 sq. m.
- Hectare. Typically, hectares are used in real estate appraisals. If translated into square meters, one hectare contains 10 thousand. sq. m.
- Acre. Its value is 4046.86 sq. m. Such a value occurred as a result of simple measurements. Previously, she designated the area that a peasant can dig up in a day. At the same time, 2 oxen should have been in his team.
- Barn. This value is used by nuclear physicists. It is used to measure the cross section of atoms. So, 1 barn equals 10⁻²⁸ sq. m. You can ask - how much is this? If you insert 28 zeros after the decimal point, and only then one, you get a clear answer.
The square meter is especially popular for solving everyday problems. This value is worth considering in more detail. It will also be useful to learn how to determine the size of the territory using simple calculations.
Area definition
Most often, with the help of a square meter, the floor area of \u200b\u200bthe premises, as well as fields for various purposes, is calculated. For example, you can measure a football field or a living room. This can be done using a regular tape measure or measuring tape. The size of a plot of territory is calculated quite simply - it is necessary to multiply the valley of the measured territory by its width.
Area measurement
To measure the area of a certain territory, it is worth choosing a measuring tape. Its use will make the measurement process easier and faster. If you have a tape measure or tape that measures in inches, you should first carry out all the necessary calculations, and then convert inches to square meters.
Features of measuring a piece of space in square meters. m:
- Determining the length of the measured area. The procedure is performed by laying a measuring tape from one corner of a square or rectangle to another. Length is the longest of the sides.
- With a length greater than 1 m, it is worth counting centimeters.
- If the object is not a square or a rectangle, you should either break it into these shapes, or use the method of calculating complex shapes.
- If it is impossible to measure the length 1 time, it is worth doing it in stages. It is necessary to expand the tape measure to make the necessary marks where it ends. It is necessary to repeat until the entire length is measured.
- After that, proceed to measure the width. To do this, the tape measure is placed at an angle of 90 degrees to the length of the object. The resulting number, as in the case of the length, must be written down.
After the measurements are taken, it is necessary to convert centimeters to meters. It is worth remembering that 1 cm is equal to 0.1 m. This means that if the measurements resulted in the numbers 4 m 35 cm, when converted to meters, you get 4.35 m.
After all the obtained values \u200b\u200b(length and width) are in meters, they must be multiplied. The result of the multiplication will be the desired area. For example, if the length turned out to be 3 m, and the width - 2, by a simple calculation (3x2) you can get the number of square meters. m. territory - 6. It is also worth knowing that there are 10,000 square meters in a square meter. cm.
If there are a lot of numbers after the decimal point, the resulting figure can be rounded off. If the measurements were not carried out with millimeter accuracy, the result will still be inaccurate.
Important
Each time you multiply different numbers that are expressed in the same units, the result should also be displayed in them. For example, if the length and width were in centimeters, then the area will be in centimeters.
