Chapter 11, Problem 18CR

To determine

To Find: The area of shaded region.

Answer to Problem 18CR

  $102.73\text{ sq units}$

Explanation of Solution

Given:

  

Area of shaded region = Area of circle − Area of triangle

ABC is a right angle triangle. So, AB would be diameter of circle.

Radius of circle = 6.5

Area of circle, $A_{circle}=\pi {\left(6.5\right)}^2=42.25\pi \text{ sq units}$

Area of triangle, $A_{triangle}=\frac{1}{2}\times 5\times 12=30\text{ sq units}$

Area of shaded region = $\left(42.25\pi -30\right)\text{ sq units}$

Area of shaded region $\approx 102.73\text{ sq units}$