Answered

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

Verified Answer :

dmks

The answer is A. 21.5

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Answer:

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

Step-by-step 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

\(= 100 in^2 - 78.5 in^2\\= 21.5 in^2\\\)