Chapter 11, Problem 21SGR

To determine

To find: The area of the shaded sector.

Answer to Problem 21SGR

The area of the sector is $1.46m^2$ .

Explanation of Solution

Given Information: Given radius is $1.3\mathrm{m}$ and angle is ${99}^{\circ }$ .

Given radius is $1.3\mathrm{m}$ and angle is ${99}^{\circ }$ .

Area of sector:

  $\begin{array}{l}=\frac{\theta }{{360}^{\circ }}\pi r^2\\ =\frac{{99}^{\circ }\times 22\times 1.3\times 1.3}{{360}^{\circ }\times 7}\\ =1.46{\mathrm{m}}^2\end{array}$

Thus, the area of the sector is $1.46m^2$ .