Chapter 10.4, Problem 6C

To determine

To calculate the whole number.

Answer to Problem 6C

9 ft

Explanation of Solution

Given Information: Area = 59 ft²

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.

  $59=\pi \times r^2$

So,

  $r^2=\frac{59}{\pi }$

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

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

  $r^2=\frac{59}{\frac{22}{7}}$

Hence,

  $r^2=18.77$

Square root,

  $r=\sqrt{18.77}$ ft.

  $r=4.33$ ft.

Now, find Diameter.

  $diameter=2\times radius$

Put the value of radius to find the diameter.

  $diameter=2\times 4.33$

  $diameter=8.66$

Nearest Diameter = 9 ft