Chapter 12.2, Problem 36STP

To determine

To find : The area of the walkway.

Answer to Problem 36STP

Option (a)

Explanation of Solution

Given information :

A black wells have a circular pool with radius $10$ feet. A $3$ foot sidewalk around the pool is to be installed.

Formula Used:

Area = $\pi$ (Radius)2

Calculation :

The given information is,

  

Radius = $10$ feet,

Area of circular pool

  ${\text{A}}_{\text{pool}}=\pi {(10)}^2=100\pi =314{\text{ft}}^2$

Now, radius along with walkway

  $\begin{array}{l}=(10+3)=13ft.\\ $ {\text{A}}_{\text{with walkway}}=\pi {(13)}^2=169\pi =530.929{\text{ft}}^2${\text{Area}}_{\text{walkway}}=(530.929-314)\\ =216.92{\text{ft}}^2\approx 216.8{\text{ft}}^2\end{array}$

Option (A)