Question

A circle has its center at the center of a square with 10-inch sides. Find the area of the square not covered by the circle. Round the answer to the nearest tenth.

a.21.5 in2

c.71.4 in2

b.6.5 in2

d.2.5 in2

Answer 1

The answer is A. 21.5

Answer 2

The correct answer is option A ,
`21.5 in^2\\`

Explanation:

The radius of the circle will be equal to half of the side of the square

Thus,

Area of circle

`\pi r^(2) \\= (3.14) * (5 in)^2\\= (3.14 * 25) in^2\\= 78.5 in^2\\`

Area of the square

`= (side)^2\\= (10)^2\\= 100\\`

Area of the square not covered by the circle

`= 100 in^2 - 78.5 in^2\\= 21.5 in^2\\`