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What is the area of a circle with a circumference of 31.4Area-

1 Answer

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The circumference of a circle is give by:


C=2\pi r

Plugging the value we have for the circunference we can find the radius:


\begin{gathered} 31.4=2\pi r \\ r=(31.4)/(2\pi) \\ r=(15.7)/(\pi) \end{gathered}

Now that we have the radius we remember that the area of a circle is:


A=\pi r^2

Plugging the value of r we have that:


A=\pi((15.7)/(\pi))^2=78.46

Therefore the area of the circle is 78.46

User Edison Trutwein
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