Chapter 11.5, Problem 36SPR

To determine

To find: The area of the shaded region.

Answer to Problem 36SPR

The area of the shaded region is $61.7{\text{ft}}^2$ .

Explanation of Solution

Given:

The given Figure is shown in Figure 1

  

Figure 1

Calculation:

Consider that the area of the shaded region is the difference of the area of the rectangle and the circle that is,

  $A=lb-\pi r^2$

Then,

  $\begin{array}{c}A=\left(15\right)\left(6\right)-\pi {\left(3\right)}^2\\ =90-9\pi \\ =61.7{\text{ft}}^2\end{array}$