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.…

Question

asked Mar 6, 2018 2.2k views

2 Answers

Helter Scelter · Answer 1 · 2018-03-11T00:09:50+0000

Answer:

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

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