Question

the circumference of a circle is 213.52 centimeters. what is the circles radius?
c = 213.52 cm
round your answer to the nearest hundredth.
centimeters
submit

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 \(C = 213.52\) cm. Rearranging the formula for \(r\), we get \(r=\frac{C}{2\pi}\). Substitute \(C = 213.52\) and \(\pi\approx3.14\) into the formula: \(r=\frac{213.52}{2\times3.14}\).
First, calculate \(2\times3.14 = 6.28\). Then, \(r=\frac{213.52}{6.28}\).
\(213.52\div6.28 = 34\)

Answer:

34.00 centimeters