Chapter 13.1, Problem 23PSC

To determine

To find: The area of the shaded region to the nearest tenth.

Answer to Problem 23PSC

The area of the shaded region is $2.6$ square unit.

Explanation of Solution

Given:

The given figure is as follows.

  

Calculation:

Subtract the area of the triangle from area of the circle to find the area of the shaded region.

  $\begin{array}{c}A=A_c-A_{\Delta }\\ =\frac{1}{4}\pi {\left(3\right)}^2-\frac{1}{2}\left(3\right)\left(3\right)\\ \approx 2.6\end{array}$

Therefore, the area of the shaded region is $2.6$ square unit.