find the measure of the angle of the radius of the circle is 4 inches and the length of the arc is 8 pi.

1 answer:

4 0

Since the angle is in radians, then s = rθ.

$\bf \textit{arc's length}\\\\
s=r\theta \quad 
\begin{cases}
r=4\\
s=8\pi 
\end{cases}\implies 8\pi =4\theta \implies \cfrac{8\pi }{4}=\theta \implies 2\pi =\theta$

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