Chapter 13.7, Problem 2PSA

To determine

To find:The area of the shaded sector.

Answer to Problem 2PSA

The area of the shaded sector is $3\pi$ .

Explanation of Solution

The area of the shaded sector is calculated as,

  $\begin{array}{c}A=\frac{1}{2}{r}^2\theta \\ =\frac{1}{2}{\left(3\right)}^2\left(\frac{2\pi }{3}\right)\\ =3\pi \end{array}$

Therefore, the area of the shaded sector is $3\pi$ .