Chapter 11, Problem 15MCQ

To determine

To find: The area of the shaded sector.

Answer to Problem 15MCQ

The area of the sector is $64.18{\mathrm{inch}}^2$ .

Explanation of Solution

Given Information: Given radius is $9.3\mathrm{inch}$ and angle is ${85}^{\circ }$ .

Calculation: Given radius is $9.3\mathrm{inch}$ and angle is ${85}^{\circ }$ .

Area of sector:

  $\begin{array}{l}=\frac{\theta }{{360}^{\circ }}\pi r^2\\ =\frac{{85}^{\circ }\times 22\times 9.3\times 9.3}{{360}^{\circ }\times 7}\\ =64.18{\mathrm{inch}}^2\end{array}$

Thus, the area of the sector is $64.18{\mathrm{inch}}^2$ .