A circle has its center at the center of a square with 6-inch sides. Find the area of the square not covered by the circle. Round the answer to the nearest tenth.

Respuesta :

bobeld
Assuming the circle is inscribed in the square, the length of the side of the square is also the diameter of a circle.
The area of the square is 6 x 6 or 36in²

For the circle A=π r ²
In this case  A = π 3²   (Since the diameter is 6 the radius is half of that, or 3)
                   A = π 9 ≈ 28.26 in ²

36 in² - 28.26in² = 7.74 in² - area of the square not covered by the circle