Why is a circle the largest, and what determines its size?

The same cannot be said either.

It should be said that the area of a circle with the same circumference in the figure.

Utmost. First, it is proved that with the same edges, the area of a regular polygon is larger than that of an irregular polygon.

You can set up a quadrilateral.

The length of the side is 20, and for ease of calculation, the quadrilateral is a rectangle with a length and width of 24

The same quadrilateral, if it is a square, has an area of 25, which is larger than 24.

Without exception, triangles, hexagons (hexagons can be divided into two trapezoids to calculate) ......It's all like this.

And if you make them have the same circumference, you'll find that the more edges, the larger the area.

In the case of a circumference of 60, the area of a regular triangle.

Yes, the square is 225, regular hexagon.

It is a circle, in fact, it is a regular polygon composed of countless edges, according to the above law, it should be found that the area of the circle is the largest.

Draw the diagonal line of the square and divide the square into four isosceles right triangles of the same size (that is, the picture of the landlord) Then, the area of each isosceles right triangle = 20 4 = 5, and the waist length of each isosceles right triangle is the radius r, then, r r 2 = 5 Then, r r = 10 Then, the area of the circle = r r =

The radius of the circle determines the size of the circle, and the center of the circle determines the position of the circle.

Because according to the definition of a circle: a circle is a geometric figure.

When a line segment (radius) rotates in a plane around one of its endpoints, the trajectory (circumference) of its other endpoint is called a circle. If the endpoint (center of the circle) is determined and the radius is determined, then the circle is determined.

The circle is a shape that looks simple, but is actually very wonderful. The ancients were the first to count the hidden Zen from the sun, the moon of the fifteenth lunar calendar.

Get the concept of a circle. Eighteen thousand years ago, the cave people used to be in the beast's teeth, carrying locust gravel.

and drill holes in stone beads, and some of those holes are very round.

By the time of the pottery era, many pottery pieces were round. Round pottery is made by placing clay on a turntable. When people began to spin threads, they made round stone spindles or pottery spindles.

Ancient people also found that rolling around was easier to carry round wood. Later, when they were carrying heavy loads, they put a few logs in hand.

Rolling under a big tree or boulder is of course much less strenuous than carrying it.

About 6,000 years ago, Mesopotamia.

man, made the world's first wheel - a round wooden disc. About 4,000 years ago, people fixed round wooden discs under wooden frames, which became the first cars.

You can make circles, but you don't necessarily understand the nature of circles. The ancient Egyptians believed that the circle was a sacred figure given by the gods. Until more than 2,000 years ago, Mozi in China.

c. 468-376 B.C.) gave a definition of the circle: circle, one in the same length. Meaning: The circle has a center, and the length from the center to the circumference of the circle is equal. This definition is better than that of the Greek mathematician Euclid.

c. 330-275 B.C.) defines the circle 100 years earlier.

The diameter determines the size of the circle.

The center of the circle determines the position of the circle. Because in a plane, there is a moving point centered on a certain point and rotated around a certain length of distance to form a closed curve called a circle. This fixed point is the center of the circle, so the center of the circle determines the position of the circle, and the distance between this fixed point and this moving point is constant, this is the radius, so the radius determines the size of the circle.

A closed curve formed by rotating around a point at a distance of a certain length in a plane is called a circle. In a plane, a circle is a set of points whose distance from a fixed point is equal to a fixed length, called a circle

The circle has an infinite number of axes of symmetry, and the axes of symmetry pass through the center of the circle; A circle has rotational invariance: A circle is a conic curve that is obtained by a planar truncated cone parallel to the bottom surface of the cone.

The circle is defined as 360°, which means that the ancient Babylonians moved a position about every 4 minutes when they observed the sun rising on the horizon, and moved 360 positions in 24 hours a day, so the inner angle of a circle was 360°. This ° represents the sun.

A circle is a type of geometric shape. According to the definition, the old bucket is usually used to draw a compass to serve this mill. The diameter and length of the radius of the circle within the same circle are always the same, and the circle has an infinite number of radii and an infinite number of diameters.

A circle is an axisymmetric, center-symmetrical figure. The axis of symmetry is the straight line where the diameter is located. At the same time, the circle is a "positive infinite polygon", and "infinity" is just a concept.

A circle can be seen as a regular polygon composed of an infinite number of infinitesimal points, and the more sides of the polygon, the closer its shape, circumference, and area will be to the circle. So, there is no real circle in the world, and the circle is really just a conceptual figure. (When a straight line becomes a curve, it is an infinite point, so it can also be said to be an absolute circle).

The size of the circle is related to the radius. In a plane, a closed curve formed by a moving point centered on a certain point and rotated around a certain length is called a circle. A circle is a geometric figure with an infinite number of points, and the diameter and radius length of the circle within the circle are always the same, and the circle has an infinite number of radii and an infinite number of diameters.

A circle is an axisymmetric, center-symmetrical figure. The axis of symmetry is the straight line where the diameter is located.

The line segment that connects the center of the circle to any point on the circle is called the radius, and the letter is represented as r (radius), and the line segment that passes through the center of the circle and both ends are on the circle is called the diameter, and the letter is represented as d (diameter). The line where the diameter is located is the axis of symmetry of the circle, and the diameter of the circle d=2r.

The size of the circle is related to the radius, and in a plane, a closed curve formed by a moving point centered on a certain point of the sail disturbance and rotated around a certain length is called a circle. A circle is a type of geometric shape.

There are an infinite number of points, and the diameter and radius length of the inner circle of the same circle are always the same, and the circle has an infinite number of radii and an infinite number of diameters. A circle is an axisymmetric, center-symmetrical figure.

The axis of symmetry is the straight line where the diameter is located.

The line segment connecting the center of the circle to any point on the circle is called the radius, and the letter is represented as r (radius), and the line segment that passes through the center of the circle and is on the circle at both ends is called the diameter, and the letter is represented as d (diameter). The line where the diameter is located is the axis of symmetry of the circle, and the diameter of the circle d=2r.