Question

the circumference of a circle is 163.28 centimeters. what is the circles radiu
round your answer to the nearest hundredth.
centimeters

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 \(C=163.28\) cm. Rearranging the formula \(r=\frac{C}{2\pi}\). Substitute \(C = 163.28\) and \(\pi\approx3.14\) into the formula: \(r=\frac{163.28}{2\times3.14}\).
First, calculate \(2\times3.14 = 6.28\). Then \(r=\frac{163.28}{6.28}\).
\(163.28\div6.28 = 26.00\)

Answer:

\(26.00\)