Chapter 11, Problem 22SGR

To determine

To find: The area of the shaded sector.

Answer to Problem 22SGR

The area of the sector is $175.88{\mathrm{inch}}^2$ .

Explanation of Solution

Given Information: Given radius is $9.4\mathrm{inch}$ and angle is ${228}^{\circ }$ .

Given radius is $9.4\mathrm{inch}$ and angle is ${228}^{\circ }$ .

Area of sector:

  $\begin{array}{l}=\frac{\theta }{{360}^{\circ }}\pi r^2\\ =\frac{{228}^{\circ }\times 22\times 9.4\times 9.4}{{360}^{\circ }\times 7}\\ =175.88{\mathrm{inch}}^2\end{array}$

Thus, the area of the sector is $175.88{\mathrm{inch}}^2$ .