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A circle has a circumference of 8pi inches. Find its exact area.

User Scrubbie
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1 Answer

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Given that we know the circumference, first, we find the radius using the following formula


\begin{gathered} C=2\pi r \\ 8\pi=2\pi r \end{gathered}

Then, we solve for r


\begin{gathered} r=(8\pi)/(2\pi) \\ r=4 \end{gathered}

The radius of the circle is 4 inches long.

Now, we can find the area of the circle


A=\pi(r)^2

Where r = 4


\begin{gathered} A=\pi(4in)^2 \\ A=16\pi(in)^2 \end{gathered}

Therefore, the exact area of the circle is 16pi square inches.

User Abhishek Prusty
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