Answer:
The length of the edge of the pool is 31.4 feet.
Step-by-step 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
[tex]\pi r^2 = 78.5[/tex]
[tex] r^2 = \frac{78.5}{\pi}[/tex]
[tex] r^2 = \frac{78.5}{3.14}[/tex]
[tex] r^2 = 24.98[/tex]
[tex] r^2 = 25[/tex]
[tex] r = \sqrt{25}[/tex]
r = 5 feet
Now the the length of the edge is the circumference of the circle
=>[tex]2\pi r[/tex]
=>[tex]2\times \pi \times 5[/tex]
=>[tex]10 \times \pi [/tex]
=> 31.4 feet
