Question

Find the area of the shaded portion of the diagram (use 3.14 for p).

A)220.16 square yards
B)6.88 square yards
C)55.04 square yards
D)13.76 square yards

Answer 1

check the picture below

notice the radius of the circle, is 4
and the side of the square is 8

Answer 2

Get the area of the circle. Use this formula:
Area =
`\pi` * radius^2

We know the radius is 4 yards.

Area = 3.14 * 4^2
Area = 3.14 * 16
Area = 50.24

Now for the square. Double the radius to get the diameter to get the length of the side.

4 * 2 = 8

Formula for finding the area of a square is
Area = side^2

Area = 8^2
Area = 64

And because we only want to shaded portion, we will subtract the area of the circle from the square.

64 - 50.24 = 13.76

So, D) 13.76 square yards is the answer to this question.