Chapter 11, Problem 16PT

To determine

To find: The area of the sector.

Answer to Problem 16PT

The area of the sector is $2.51c{m}^2$ .

Explanation of Solution

Given Information: Given radius is $3cm$ and angle is ${32}^{\circ }$ .

Given radius is $3cm$ and angle is ${32}^{\circ }$ .

Area of sector:

  $\begin{array}{l}=\frac{\theta }{{360}^{\circ }}\pi r^2\\ =\frac{{32}^{\circ }\times 22\times 3\times 3}{{360}^{\circ }\times 7}\\ =2.51c{m}^2\end{array}$

Thus, the area of the sector is

  $2.51c{m}^2$ .