Draw the largest square in a circle, only tell the square area is 14 square meters, find the area of the circle

Draw the largest square in a circle, only tell the square area is 14 square meters, find the area of the circle


Let the side length of a square be a, then a ^ 2 = 14, then the radius of its circumscribed circle is r = (√ 2) a / 2 (the diameter of the circumscribed circle is equal to the diagonal length of the square), so the area of the circle = π * R ^ 2 = π * 14 / 2 = 7 π



The area of a square is 60 square centimeters. Draw the largest circle in the square and ask for the area of the circle


The diameter of the circle is 60 cm
The area is = 3.14 * (√ 60) ^ 2 △ 4 = 47.1 square centimeter