Chapter 10.4, Problem 25E

To determine

To calculate the whole number.

Answer to Problem 25E

Radius = 19 in and Diameter = 38 in

Explanation of Solution

Given Information: Area = 1109 in²

Formula Used:Area of circle = $\pi \times r^2$ , $\pi =\frac{22}{7}$ , $diameter=2\times radius$

Calculation:

Area of circle = $\pi \times r^2$

Put the value of Area of circle to find the radius.

  $1109=\pi \times r^2$

So,

  $r^2=\frac{1109}{\pi }$

Now, $\pi =\frac{22}{7}$

Put the value of $\pi$ to find the radius

  $r^2=\frac{1109}{\frac{22}{7}}$

  $r^2=\frac{1109\times 7}{22}$

Hence,

  $r^2=352.86$

Square root,

  $r=\sqrt{352.86}$ in

  $r=18.78$ in

Nearest Radius = 19 in

Now, find Diameter.

  $diameter=2\times radius$

Put the value of radius to find the diameter.

  $diameter=2\times 18.78$ in

  $diameter=37.56$ in

Nearest Diameter = 38 in