A circle with a diameter of 10 inches has its center at the center of a square with 10 inch side find the area of the region that is inside the square and outside the circle?

Answer 1

Area of the square = 10x10=100 in^2 Area of Circle=pi/4*10^2 ~=78.539817 in^2 Area between them is the area of the square minus the area of the circle: 100-78.539817 ~=21.46 in^2

Answer 2

The area of the circle is πr^2 = (π(10/2)^2) = 25π square inches. The area of the square is 10^2 = 100 square inches. The area of the region inside the square and outside the circle is 100 - 25π = 21.46 square inches.