Chapter 11.5, Problem 6WE

To determine

To Find: The radius and area.

Answer to Problem 6WE

  $r=6units$

  $A=36\pi sq.units$

Explanation of Solution

Given: $C=12\pi$

Circumference of a circle

  $\begin{array}{l}C=2\pi r\\ 12\pi =2\pi r\\ r=\frac{12\pi }{2\pi }\\ r=6units\end{array}$

Area of circle

  $\begin{array}{l}A=\pi r^2\\ $ A=\pi {(6)}^2$A=36\pi sq.units\end{array}$