Question

The area of a small pond is 78.5 yds. What is the diameter of the pond?

Answer 1

Diameter of pound = 10 yd

Explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒
`\pi\ r^2`

where
`r` represents radius of the pond.

Thus, we have:

⇒
`\pi\ r^2=78.5`

Using
`\pi=3.14`

⇒
`3.14r^2=78.5`

Solving for
`r`

Dividing both sides by 3.14

⇒
`(3.14r^2)/(3.14)=(78.5)/(3.14)`

⇒
`r^2=25`

Taking square root both sides.

⇒
`√(r^2)=√(25)`

⇒
`r=\pm5`

So, radius = 5 yd, as distances are always positive.

Diameter =
`2* radius=2* 5\ yd= 10\ yd`

Thus, diameter of pound = 10 yd