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lina2011 [118]
3 years ago
11

Find the exact area of a circle having the given circumference. 4(√3 π) A =

Mathematics
1 answer:
Alik [6]3 years ago
4 0
\bf \textit{circumference of a circle}\\\\
C=2\pi r\qquad 
\begin{cases}
r=radius\\
----------\\
C=4\sqrt{3}\ \pi 
\end{cases}\implies 4\sqrt{3}\ \pi=2\pi r
\\\\\\
\cfrac{4\sqrt{3}\ \pi}{2\pi}= \boxed{r}\\\\
-----------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad \boxed{r}=\cfrac{4\sqrt{3}\ \pi}{2\pi}\implies A=\pi \left( \cfrac{4\sqrt{3}\ \pi}{2\pi} \right)^2
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