A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?

siIviajendeukie Sep 9, 2024

#1**+1 **

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**.

mathrokus Sep 9, 2024