A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?
\(83^{\circ} \: \text{is } \frac{83}{360} \text{of the circle} \\ {r}^{2}\pi*\frac{83}{360}=60\pi\\ \underline{\text{Solving, we get}\: \bf{\frac{60\sqrt{498}}{83}}} \text{.}\)
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