Question

A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and

the circle? (Use 3.14 and round to the nearest whole number)

Answer 1

The area of the shaded part is 31 inches²

Explanation:

Area of square = 12 x 12 = 144

Area of circle = 3.14r²

We know that the diameter is 12 inches, so 12 ÷ 2 = 6 which is our radius.

6 = r

3.14 x 6²

= 3.14 x 36

= 113.04

≈ 113 inches²

Now we just to to subtract the area of the circle for the from the area of a square to find out the area of the shaded part.

144 - 113 = 31

The area of the shaded part is 31 inches².