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1 square meter [m²] = 0.0001 hectare [ha]

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.
• 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.

In the agricultural industry or other specialization, where it is necessary to be able to calculate the area of ​​​​any objects, it is often necessary to know how many square meters are in a hectare. The fact is that the latter value is common in Russia and other countries as a standard designation. The ability to convert values ​​is useful not only for adults, but also for younger students who are just starting to get acquainted with serious mathematics. How to make correct calculations?

First you need to remember that there is nothing that is invented just like that. Especially when it comes to exact calculations. How many meters per hectare can be determined without difficulty if you know how these quantities are related. It is decided that 1 hectare is equal to a side of 100 meters. Even if you do not know higher mathematics, you can easily get the answer. But in case of difficulties with this matter, especially the main thing is patience and diligence. Only with these factors will you begin to understand everything. More specifically, remember this:

1 Ha \u003d 100 m x 100 m \u003d 10000 m ^ 2

Now you know how many square meters in a hectare. However, for you to understand more, let's look at one more aspect. Why is it multiplied by a hundred? Let's look at the word itself. It consists of the prefix "hekta" and the root "ar". In fact, the first part means multiplying by ten. And the second itself differs from the SI system of units of length by 10. Hence the desired hundred is obtained.

How many square meters per hectare, any student who claims a positive assessment should know. This important skill is not only useful in life when working in various areas of life, but also for solving ordinary problems from a school textbook. By the way, the common "hundredths" that measure garden plots are a common name. In fact, this already beloved hectare is hiding under this name.

To perform oral conversion, you must follow the following rules:

1) Decide in the direction of the account. If you need to convert to standard area units, then you need to remember once and for all how many square meters are in a hectare. And when you do, divide by ten thousand. Accordingly, otherwise, you just need to perform the reverse operation.

2) Do not make a mistake with zeros, because if you lose at least one of them, you can cut off a plot on which you can put a good house (depends on the number of remaining "donuts").

3) Equate the result, clearly write down the answer. Do not forget about the second degree of meters. The biggest mistake is the lost square.

Thus, you got the opportunity to use one important skill. Now you know exactly how many square meters per hectare. Remember that when converting to different values, you must be as careful as possible with zeros and decimal places. To the frequently asked question from those who do not like the exact sciences: "Why have so many quantities been invented", the answer is simple: for convenience. Only after full awareness of the need to introduce auxiliary hectares comes simplicity and ease in various calculations.

We often have to measure the area of ​​a plot of land and convulsively remember how much m2 fits in a hectare. The reasons for this can be very different. Whether we wanted to buy a summer cottage for ourselves, or whether the idea arose to seriously engage in agriculture, or perhaps it was necessary to help the child solve a school problem.

We remember the basics

The basis for measuring area is the square meter. This is a square, the length of each side of which is equal to one meter.

The next measuring unit in agriculture is weaving. 100 square meters. This is also a square, the side of which is 10 meters.

And the third unit of measure is the hectare. This is again a square, the side of which is 100 meters. How many square meters in a hectare is easy to calculate. The answer is 10,000 meters.

Where to apply?

Why do we need different units of measurement for the same thing - area? Isn't it easier to measure everything, for example, in square meters? No, it's not easier.

Square meters are used to measure residential areas (apartments, houses, rooms), as well as the area of ​​subsidiary farms: sheds, pigsties, chicken coops and others.

If it is required to measure the land plot of a subsidiary plot, such as a garden or a vegetable garden, it is most reasonable to use such a unit of measurement as a weave. The average size of a private land plot in our country is 5 acres. How much easier it is to imagine than 500 square meters.

A hectare is a unit of measurement for those who want to farm professionally.

Let's imagine a situation. You have decided to grow wheat. Doing this on a few acres is simply not profitable. It is believed that for the cultivation of each crop, there is a minimum and maximum area that needs to be processed. For example, the same wheat - from 100 hectares.

If you start growing a crop on a plot less than the minimum recommended, then you will be at a loss.

It's the same with other cultures. If you decide to purchase a plot to grow berries and vegetables after work, then your unit of measurement is acres. But if the cultivation of agricultural products has become your main job, if you are ready to purchase agricultural equipment and much more, so necessary for this, then your unit of measurement is a hectare. By the way, when buying agricultural machinery, you will again need knowledge of the measuring units of the area. Indeed, for such equipment as a tractor and a combine, fuel consumption and productivity are measured just for the cultivated area, and here again knowledge of how many meters per hectare will be useful to you.

Where do all units of measurement meet?

In fact, there are many such examples. But here we will consider one that is closest to the agricultural theme.

Imagine you bought a plot of land outside the city, say 10 hectares. And they decided to make a garden partnership or a cottage settlement on this territory. Each lot will be 5 acres. In order to calculate the number of plots, you will need meters, acres, and hectares.

Do you think it’s enough to figure out: a hectare is how many acres? Where will your roads be? Will you have boundaries between sections of the boundary? Where will communications (gas, water, electricity) go?

Accordingly, it will turn out that:

• in hectares you will calculate the entire land plot;
• in acres, allotments that you will sell;
• in square meters you will consider communications.

So, on the plan of your business project there will be all three units of area.

Measuring the field area using a car navigator - video