Chapter 11.6, Problem 8PSB

a.

To determine

To calculate: The radius of circle with area as $24\pi$ .

Answer to Problem 8PSB

The radius of circle is $4.9$ .

Explanation of Solution

Given:

A $=24\pi$

Formula Used:

Area of circle $=\pi r^2$

r = radius of a circle.

Calculation:

  

  $\begin{array}{l}A=\pi r^2\\ 24\pi =\pi r^2\\ r^2=24\\ r=\sqrt{24}\\ r=2\sqrt{6}\\ r\approx 4.9\end{array}$

b.

To determine

To calculate: The radius of circle with area as $36$ .

Answer to Problem 8PSB

The radius of circle is $3.4$ .

Explanation of Solution

Given:

A $=36$

Formula Used:

Area of circle $=\pi r^2$

r = radius of a circle.

Calculation:

  

  $\begin{array}{l}A=\pi r^2\\ 36=\pi r^2\\ r^2=\frac{36}{\pi }\\ r=\frac{\sqrt{36}}{\sqrt{\pi }}\\ r=\frac{6}{\sqrt{\pi }}\\ r\approx 3.4\end{array}$