Answer
The area of the shaded region is the area of the square minus the area of the semicircles. It is not only the area of the semicircles.
$0.215$ or, $21.5 \%$
Work Step by Step
The area of the shaded region is the area of the square minus the area of the semicircles. It is not only the area of the semicircles.
Thus, the correct solution can be written as:
$\text{P(A in the shaded region)}=\dfrac{\text{Area of square -Area of semicircles}}{\text{Area of square}}$
Therefore,
$\text{P(A in the shaded region)}=\dfrac{64-16 \pi}{64}=0.215$ or, $21.5 \%$
