Chapter 11, Problem 19CR

To determine

To Find: The area of shaded region.

Answer to Problem 19CR

  $16\pi sq.units$

Explanation of Solution

Given:

  

Radius of circles.

  $\begin{array}{l}{R}_s=3\\ R_l=5\\ Area\\ A_s=\pi r^2\\ $ A_s=\pi {(3)}^2$A_s=9\pi \\ similarly\\ A_l=\pi r^2\\ $ A_l=\pi {(5)}^2$A_l=25\pi \end{array}$

Then

Area of shaded region = Area of larger circle- area of smaller circle.

  $\begin{array}{l}A=A_l-A_s\\ A=25\pi -9\pi \\ A=16\pi sq.units\end{array}$