A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?
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
83360πr2=60π83/360r2=60r2=60∗360/83r2=21600/83r=√216000/83≈16.132
Thanks! :)