Chapter 1.4, Problem 65E

To determine

Tofind:the radius of circle using the given area of the circle.

Answer to Problem 65E

Length is $6$ inches.

Explanation of Solution

Given:

  $S=36\pi$ .

Concept used:

Area of the circle is:

  $\pi r^2$ .

Where $\pi$ is constant and $r$ is radius.

Calculation:

According to the given:

The area of the circle $S$ :

  $S=36\pi$ .

Area of the square:

  $\begin{array}{l}S=\pi r^2.\\ \Rightarrow \pi r^2=36\pi .\\ \Rightarrow r^2=36.\\ r=\pm 6.\end{array}$

As $r$ is radius of the circle which cannot be negative.

Hence, length is $6$ inches.