+743 A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?
+1876 Alright, let's note that the sector has an angle of 83 degrees.
This means the area of the sector is \(83/360\) of the total area.
We can write the equation
\(\frac{83}{360}\pi r^2 = 60\pi\\ 83/360r^2=60\\ r^2=60*360/83\\ r^2 = 21600/83\\ r=\sqrt{216000/83} \approx 16.132\)
Thanks! :)
