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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.

User Anshik
by
6.8k points

2 Answers

5 votes

Answer:

75.36

Explanation:

User Elkhan Dadashov
by
6.5k points
1 vote

Answer:

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 = 24ft

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.

User Jarnojr
by
6.8k points
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