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Alja [10]
3 years ago
8

Given that an intercepted arc has length 6pi inches and a central angle is pi/3, find the radius

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0
\bf \textit{arc's length}\\\\
s=r\theta \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
\theta =\frac{\pi }{3}
\end{cases}\implies 6\pi =r\left( \frac{\pi }{3} \right)\implies \cfrac{6\pi }{\frac{\pi }{3}}=r
\\\\\\
\cfrac{6\pi }{1}\cdot \cfrac{3}{\pi }=r\implies 18=r
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