Chapter 11.8, Problem 7ST2

To determine

To Find: The area of shaded region.

Answer to Problem 7ST2

  $64-16\pi sq.units$

Explanation of Solution

Given:

  

Area of square.

  $\begin{array}{l}{A}_s=s^2\\ A_s=8^2\\ A_s=64\end{array}$

Area of circle.

  $\begin{array}{l}{A}_c=\pi r^2\\ $ A_c=\pi {(4)}^2$A_c=16\pi \end{array}$

Area of shaded region.

  $\begin{array}{l}A=A_s-A_c\\ A=64-16\pi sq.units\end{array}$

Hence, area is $64-16\pi sq.units$ .