Question

Длина окружности 144П, найти S квадрата,вписанного в эту окружность

Answer 1

Решение на фотографии

Answer 2

Calculating the Area of the Inscribed Square

To find the area of the square inscribed in a circle with a circumference of 144π, we can use the following steps:

1. Calculate the Radius of the Circle: - The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. - We can rearrange the formula to solve for the radius: r = C / (2π). - Substituting the given circumference, we get: r = 144π / (2π) = 72.

2. Calculate the Side Length of the Inscribed Square: - The side length of the inscribed square is equal to the diameter of the circle, which is twice the radius. - Therefore, the side length of the inscribed square is: 2 * 72 = 144.

3. Calculate the Area of the Inscribed Square: - The area of a square is given by the formula A = s^2, where A is the area and s is the side length. - Substituting the side length, we get: A = 144^2 = 20,736 square units.

Therefore, the area of the square inscribed in the given circle with a circumference of 144π is 20,736 square units.

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