Question

the circumference of a circle is 119.32 meters. what is the circles radius?
c = 119.32 m
round your answer to the nearest hundredth.
meters

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius.

Step2: Solve for \(r\)

We know \(C = 119.32\) meters. Rearranging the formula \(C = 2\pi r\) for \(r\), we get \(r=\frac{C}{2\pi}\).
Substitute \(C = 119.32\) and \(\pi\approx3.14\) into the formula:
\(r=\frac{119.32}{2\times3.14}\)
First, calculate \(2\times3.14 = 6.28\).
Then, \(r=\frac{119.32}{6.28}\)
\(119.32\div6.28 = 19.00\)

Answer:

\(19.00\)