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

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

Detailed 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.

\(A= \pi R^2\)

\(24 \pi = \pi r^2 \)

\(24= r^2\)

\(r = \sqrt{24} = \sqrt{4} \times \sqrt{6} = 2 \sqrt{6}\)

\(A= \pi R^2\)

\(24 \pi = \pi r^2 \)

\(24= r^2\)

\(r = \sqrt{24} = \sqrt{4} \times \sqrt{6} = 2 \sqrt{6}\)