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Question:

The area of a circle is given as \(24 \pi \). What is its radius?

A \(2 \sqrt{6}\)
explanation

The formula for the area of a circle is \(A= \pi R^2\). Plug in the area you are given and solve for the radius. We need to take the square root of 24 to arrive at our answer.
\(A= \pi R^2\)
\(24 \pi = \pi r^2 \)
\(24= r^2\)
\(r = \sqrt{24} = \sqrt{4} \times \sqrt{6} = 2 \sqrt{6}\)