Question

question
the area of a circle is 9π in². what is the circumference, in inches? express your answer in terms of π.
answer attempt 1 out of 2
c =
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Explanation:

Step1: Find the radius of the circle

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(A = 9\pi\), we have \(\pi r^{2}=9\pi\). Divide both sides by \(\pi\): \(r^{2}=9\). Take the square root of both sides: \(r = 3\) (since radius \(r>0\)).

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is \(C = 2\pi r\). Substitute \(r = 3\) into the formula: \(C=2\pi\times3 = 6\pi\).

Answer:

\(6\pi\)