The area of a circle is 25pi m squared what is the circumference

1 answer:

8 0

$\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
A=25\pi 
\end{cases}\implies 25\pi =\pi r^2\implies \cfrac{25\pi }{\pi }=r^2
\\\\\\
25=r^2\implies \sqrt{25}=r\implies 5=\boxed{r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad C=2\pi\left( \boxed{5} \right)\implies C=10\pi$

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(refer to attached)

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