Question

The Swan family installs an aboveground pool. The circular pool covers about 78.5 square feet of lawn in the backyard. What is the length, in feet, of the edge of the pool.

Answer 1

The length of the edge of the pool is 31.4 feet.

Explanation:

Given:

The circular pool covers about 78.5 square feet of lawn

To Find:

The length of the edge of the pool = ?

Solution:

The area of the circular pool = 78.5 square feet

`\pi r^2 = 78.5`

`r^2 = (78.5)/(\pi)`

`r^2 = (78.5)/(3.14)`

`r^2 = 24.98`

`r^2 = 25`

`r = √(25)`

r = 5 feet

Now the the length of the edge is the circumference of the circle

=>
`2\pi r`

=>
`2* \pi * 5`

=>
`10 * \pi`

=> 31.4 feet