+523 A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?
+23 The radius of a circle can be found with the area of the circle. The area of a sector is equal to n/360 * a where n is the angle of the sector and a is the area of the circle.
Using this formula,
60pi = 83/360 * a
a = 360/83 * 60pi
a ~ 260.24pi
The formula for the area of a circle is A = r^2 pi.
260.24pi = r^2 pi
260.24 = r^2
r ~ 16.13
So the radius of the circle is about 16.13.
