Chapter 11, Problem 15PT

To determine

To find: The area of the sector.

Answer to Problem 15PT

The area of the sector is $67.60f{t}^2$ .

Explanation of Solution

Given Information: Given radius is $8ft$ and angle is ${121}^{\circ }$ .

Given radius is $8ft$ and angle is ${121}^{\circ }$ .

Area of sector:

  $\begin{array}{l}=\frac{\theta }{{360}^{\circ }}\pi r^2\\ =\frac{{121}^{\circ }\times 22\times 8\times 8}{{360}^{\circ }\times 7}\\ =67.60f{t}^2\end{array}$

Thus, the area of the sector is $67.60f{t}^2$ .