Question

The area of a small pond is 78. 5 yds. What is the diameter of the pond?.

Answer 1

10 yards

Step-by-step explanation:

Hi there!

Area of a circle formula:

`A=\pi r^2`

Plug in the area 78.5 yds:

`78.5=\pi r^2`

Isolate r:

`\displaystyle(78.5)/(\pi) =r^2\\\\\sqrt{\displaystyle(78.5)/(\pi)} =r`

The diameter of the pond is equal to double its radius:

`2\sqrt{\displaystyle(78.5)/(\pi)} =d`

`d = 9.9974\\d \approx 10`

Therefore, the diameter of the pond is approximately 10 yards.

I hope this helps!