Question

A circle has a diameter of 24 ft . What is its circumference? Use 3.14 for π and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

75.36

Explanation:

Answer 2

The circumference of the circle that has a diameter of 24ft is
`\\ C = 75.36\;ft`.

Explanation:

The circumference of a circle is given by the formula:

`\\ C = 2*\pi*r` [1]

Where

`\\ C` is the circle's circumference.

`\\ \pi = 3.1415926535897932384626...`. It is a constant and represents the ratio between the length of the circumference to the diameter of the circle, that is,
`\\ \pi = (C)/(2*r) = (C)/(D)`. This number is irrational and has infinite digits.

`\\ r` is the circle's radius.

The diameter of a circle is

`\\ D = 2*r = 24`ft

Therefore, we can rewrite equation [1] as

`\\ C = 2*r*\pi = D*\pi`

Then

`\\ C = D*\pi`

`\\ C = 24\;ft*\pi`

Using
`\\ \pi = 3.14`

`\\ C = 24\;ft*3.14`

`\\ C = 75.36\;ft`

Then, the circumference of the circle that has a diameter of 24ft is
`\\ C = 75.36\;ft`.

Notice that
`\\ \pi` is dimensionless and, since the diameter is in ft the circumference is also represented in this unit.