Chapter 11.5, Problem 4CE

To determine

To Find: The radius and area.

Answer to Problem 4CE

  $r=5units$

  $A=25\pi sq.units$

Explanation of Solution

Given: $C=10\pi$

Circumference of a circle

  $\begin{array}{l}C=2\pi r\\ 10\pi =2\pi r\\ r=\frac{10\pi }{2\pi }\\ r=5units\end{array}$

Area of circle

  $\begin{array}{l}A=\pi r^2\\ $ A=\pi {(5)}^2$A=25\pi sq.units\end{array}$