Chapter 8.1, Problem 23E

A circular swimming pool has diameter $50\text{ft}$ and is centered in a fenced-in square region measuring $80\text{ft}$ by $80\text{ft}$. A concrete sidewalk $5\text{ft}$ wide encircles the pool, and the rest of the region is grass, as shown in Figure $8.21$.

a. Find the surface area of the water.

b. Find the area of the concrete sidewalk.

c. Find the area of the grass.

$Figure8.21$ Diagram for Exercise $23$