Question

the circumference of a circle is 81.64 yards. what is the circles radius? round your answer to the nearest hundredth. yards

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 \(C = 81.64\) yards. Rearranging the formula \(C = 2\pi r\) for \(r\) gives \(r=\frac{C}{2\pi}\).
Substitute \(C = 81.64\) and \(\pi\approx3.14\) into the formula:
\(r=\frac{81.64}{2\times3.14}\)
First, calculate \(2\times3.14 = 6.28\).
Then, \(r=\frac{81.64}{6.28}=13.00\)

Answer:

\(13.00\) yards