Question

A 75ft long circular fence surrounds a pool. What is the diameter, radius, and circumference?

Answer 1

Radius = 11.94 ft

Diameter = 23.88 ft

Circumference = 75 ft

Explanation:

Given:

Perimeter of the circular fence that surrounds the pool = 75 ft

To find the diameter, radius and circumference of the fence.

Solution:

Since perimeter of a circle is the length of the circumference of the circle, therefore the circumference of the circle will be = 75 ft

Formula for perimeter of circle =
`2\pi r`

where
`r` represents the radius of the circle.

We have:

`2\pi r =75`

Using
`\pi=3.14`

`2(3.14)r =75`

`6.28r =75`

Dividing both sides by 6.28 to find
`r`

`(6.28r)/(6.28) =(75)/(6.28)`

∴
`r =11.94\ ft`

The diameter of a circle is given as twice the radius.

Thus diameter
`d=2r=2(11.94)=23.88\ ft`