Chapter 14, Problem 16CPE

To determine

Tofind: the circumference of the circle.

Answer to Problem 16CPE

The circumference of the circle is $20\pi$ .

Explanation of Solution

Given information:

Area of circle is $100\pi$ .

Calculation: to find the circumference of the circle, first find the radius of the circle,

Since, area of circle is $100\pi$ ,

$\begin{array}{l}\pi r^2=100\pi \\ r^2=100\text{ [divide]}\\ r=10\text{ [square root]}\end{array}$

Now, use the formula of circumference of circle,

$\begin{array}{l}\text{circumfrence}=2\pi r\\ \text{circumfrence}=2\pi \left(10\right)\text{ [substitute]}\\ \text{circumfrence}=20\pi \end{array}$