There is a square in a big circle, how do you find the area of a square?

The diagonal of the square inside the circle is the diameter of the circle. In this way, the length of the side is 2 2 times the diameter, and the area of the square inside the circle is the square of the length of the side.

That is. Let the diameter of the great circle be r

The area of the circumscribed square inside the circle is r 2

If the square is not inscribed with a circle, I don't know how to calculate it.

This question is not rigorous, it should be a circle with a square, and the square should be cut into a circle.

The length of the side of the square should be equal to the diameter of the inscribed circle, and the diagonal length of the square should be equal to the diameter of the circumscribed circle.

Let the side length of the square a, and the area of the square a 2=10

Inscribed circle area (a 2) 2=

The area of the circumscribed circle (a 2 2) 2=5

So the annular area is 5 to solve.

If you square the diameter of the great circle and divide it by two, you will find the square area.

Let the side length of the square be a and the radius of the circle be r

2r = 2a (square diagonal = diameter of the circle).

a=√2rs=2a²

Which data is given, if there is a diameter or radius, it is very easy to calculate, find the trilateral relationship and length of the right triangle, give a side length and an angle, what is the formula I forgot, what sin cos is finding the length of the other side, that is, the length of one side of the square, the area will naturally come out.

The diameter of the great circle is the hypotenuse of the square. Let the diameter of the circle be d, the side length of the square be a, and the area be s. then a 2 + a 2 = b 2

s=a 2 so s=(b 2) 2

Let the radius of the circle be r, and since the diagonal of the square is the diameter of the circle, then:

2 square of the side length of the square = 4r 2

The side length of the square = 2*r

The area of the square = 2r2

The diagonal of the square is the diameter of the circle. After that, you'll be able to figure it out.

Square of diameter = 2* square of sides of the square.

If the circle is an inscribed circle of a square, its area is 1 4 times the area of the square. If it is not an inscribed circle of a square, it cannot be calculated.

Suppose the area of the square is 6 square centimeters, and let the radius of the circle be r, then the length and diameter of the diagonal of the square are 2r, therefore, the area of the square is 2r*2r 2=6, so there is r 2=3, therefore, the area of the circle is square centimeters.

Tangent theoremthe radius perpendicular to the tangent point; A straight line that passes through the outer end of the radius and is perpendicular to this radius is the tangent of the circle.

Tangent is determined by a straight line that passes through the outer end of the radius and is perpendicular to this radius as a tangent of a circle.

Nature of tangents:

1) A straight line perpendicular to the radius of the tangent is a tangent of a circle.

2) A straight line perpendicular to the tangent must pass through the center of the circle.

3) The tangent of the circle is perpendicular to the radius passing through the tangent point.

The area of the square is 4

The area of the circle. The area of the square is 4

It is exactly the square of the radius, and the square of the radius is the area of the circle.

Is that so?

The diagonal length of the square is the diameter of the circle.

Area of the square 4 = area of the circle.

The area of the square 4 is exactly the square of the radius, and the square of the radius is the area of the circle.

(if the circle is a circumscribed circle of a square).

The area of the ABCD of the square is known to be A2, and the radius of the circle is R

First, the side length of the known square is a

According to the title, in the right triangle ABC, the diameter of the hypotenuse ac is exactly the circle: ab 2 + bc 2 = ac 2

A2 + A2 = (2R) 2

So r 2 = a 2 2

The area of the circle can be found as: r 2 = (a 2 2) = ( a 2 ) 2

To sum up: the area of the circumscribed circle is: square area * 2

If it is the circumscribed circle of the square, then the diagonal of the square is the diameter of the circle, and if you know the area of the square, you can know the side length of the square, so that you can know the length of its diagonal, and then you can find the radius and area of the circle.

First find the side length of the square, use the formula s=side length, side length, and then use the Pythagorean theorem to find the length of the diagonal of the square, divide the length of the diagonal by 2, which is the radius of the circle, and then use the area formula of the circle to find the area of the circle.

The area of the square = the length of the side x the length of the side.

The Pythagorean theorem is then used to find the length of the diagonal of a square.

The length of the diagonal is the diameter of the circle.

The area of the largest square within the circle = diameter radius 2 squared of the radius.

Because: the diagonal of the largest square in the circle divides the largest square into two identical triangles, and this diagonal is the diameter of the circle, and the area of one of the triangles is diameter radius 2, because there are two such triangles, so to calculate the area of the two, it is (2).

Draw a picture of yourself to help you understand).

The maximum radius of a circle is r

The area of the square is 2r*2r=4r 2

The largest area of the circle.

r 2 circle area: square area 4

Circle area 4 * square area.

The square of the diagonal line of the square 2 = the area of the square, and the diagonal frontispiece of the square is exactly the diameter of the circle, so it is the square of the diameter of the circle 2 = the area of the square.

Square diagonal = diameter of the circle = centimeter letter.

Square bridge area = 20 20 2 = 200 square centimeters.

Note: Square area - diagonal diagonal 2) type Huaimeng.

I hope it helps you, and I wish you progress in your studies and go to the next level! (

Use the area to find the side length of the square -a

Then, the diagonal of the square, which is the radius of the circle, is (2) times a

The area of the circle is (Oak (Hall 2)*a) 2).