Answer
$C$
Work Step by Step
The base of a circular swimming pool is actually a circle. The formula for the area of a circle is $\pi$$r^2$, where $r$ is the radius of the circle. In this problem, we are given the diameter, but we need the radius. If the diameter of a circle is two times the radius, then we need to divide the diameter by $2$ to find the radius:
$r = \frac{16 ft}{2}$
Divide to solve for $r$:
$r = 8 ft$
$Area = \pi(8 ft)^2$
Evaluate the exponent:
$Area = 64\pi ft^2$
This corresponds to answer option $C$.
