Question

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

Answer 1

Answer:

10 yards

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:

$\displaystyle\frac{78.5}{\pi} =r^2\\\\\sqrt{\displaystyle\frac{78.5}{\pi}} =r$

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

$2\sqrt{\displaystyle\frac{78.5}{\pi}} =d$

$d = 9.9974\\d \approx 10$

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

I hope this helps!