Question

the circumference of a circle is 14π kilometers. what is the radius? give the exact answer in simplest form. kilometers

Explanation:

Step1: Recall the formula for the circumference of a circle

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 circumference into the formula

We are given that \(C=14\pi\). Substituting into \(C = 2\pi r\), we get \(14\pi=2\pi r\).

Step3: Solve for \(r\)

Divide both sides of the equation \(14\pi = 2\pi r\) by \(2\pi\).

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Answer:

\(7\)