Answer
The angle is $\frac{5}{4}\pi rad$ or $225^\circ$
Work Step by Step
$r=8$
$s=10\pi$
$s=r\theta$
$\theta = \frac{s}{r}= \frac{10\pi}{8} =
\frac{5}{4}\pi rad$
$\theta= \frac{5}{4}\pi rad = \frac{5}{4}180^\circ = 225^\circ$
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