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The circumference of a circle is 18pi ft. what is the area in square feet.

User DATT OZA
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1 Answer

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We have first the formula of the circumference of a circle


C=2\pi r

In order to know the area we need to know the radius of the circle, it can be obtained using the formula above and the next information.

C=18pi

r is the radius


18\pi=2\pi r

then we isolate the r


\begin{gathered} r=(18\pi)/(2\pi) \\ r=9 \end{gathered}

the radius is 9 ft

then we can calculate the area using the next formula


A=\pi r^2

we substitute the value of the radius


\begin{gathered} A=\pi(9)^2 \\ A=81\pi ft^2 \\ A=254.47ft^2 \end{gathered}

User Mick Feller
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