Chapter 11, Problem 10RP

To determine

To calculate:Thearea of circle whose circumference is $16\pi$ .

Answer to Problem 10RP

The area of circle is $64\pi$ .

Explanation of Solution

Given information:

  $Circumferenceofacircle=16\pi$

Formula used:

Circumference of a circle: $C=2\pi r=\pi d$

r = radius of a circle.

d = diameter of a circle.

Area of a circle: $A=\pi r^2$

r = radius of a circle.

Calculation:

  

  $\begin{array}{l}C=\pi d\\ 16\pi =\pi d\\ d=16\\ r=\frac{d}{2}=\frac{16}{2}=8\end{array}$

  $\begin{array}{l}A=\pi r^2\\ =\pi {(}^8\\ =64\pi \end{array}$