Question

the circumference of a circle is 62.8 meters. what is the circles radius? round your answer to the nearest hundredth. meters

Explanation:

Step1: Write 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 \(r\)

Given \(C = 62.8\) meters, we can rewrite the formula as \(r=\frac{C}{2\pi}\).
Substitute \(C = 62.8\) and \(\pi\approx3.14\) into the formula:
\(r=\frac{62.8}{2\times3.14}\)
First, calculate \(2\times3.14 = 6.28\).
Then, \(r=\frac{62.8}{6.28}=10.00\)

Answer:

\(10.00\)