Question

the circumference of a circle is 5π centimeters. what is the radius? give the exact answer in simplest form. 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: Substitute the given value of \(C\)

Given \(C = 5\pi\), substitute into the formula: \(5\pi=2\pi r\).

Step3: Solve for \(r\)

Divide both sides of the equation by \(2\pi\):

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Answer:

\(\frac{5}{2}\)