Chapter 11.3, Problem 14PPS

To determine

To calculate: The diameter of the circle.

Answer to Problem 14PPS

The diameter of the circle is $9.3cm$ .

Explanation of Solution

Given information: The area of the circle is $68c{m}^2$ .

Calculation:

From the given information, Area, $A=68c{m}^2$ .

Area of a circle is given by,

  $A=\pi r^2$ ,

  $r$ is the radius of the circle.

  $\begin{array}{l}68=\pi \times r^2\\ r^2=\frac{68}{\pi }\\ r=4.65cm\end{array}$

Diameter, $d=2r$

Therefore,

  $\begin{array}{l}d=2\times 4.65\\ d=9.3cm\end{array}$

The diameter of the circle is $9.3cm$ .