A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?
Recall the following formula:
The area of a sector with radius r and central angle θ∘ is θ360⋅πr2.
Using the formula, we have
83360⋅πr2=60π
This means
r2=360⋅6083=2160083
r=√2160083≈16.13