Respuesta :

[tex] \bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=113.04
\end{cases}\implies 113.04=\pi r^2\implies \cfrac{113.04}{\pi }=r^2
\\\\\\
\sqrt{\cfrac{113.04}{\pi }}=r
\\\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi \left( \sqrt{\cfrac{113.04}{\pi }} \right)\implies \stackrel{using~\pi = 3.14}{C\approx 37.68} [/tex]

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Answer


= 37.68 cm



Explanation

The area of a circle is given by:

Area = πr²= 113.04

r² = 113.04 /π

= 113.04 / 3.14

= 36

r =√36

=6 cm


Circumference = 2πr

= 2×π×6

= 37.68 cm


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