Can someone please help me?
A sector of a circle has a central angle of 100 degrees. If the area of the sector is 250pi, what is the radius of the circle?
Thank you so much!
The formula for circle are is πr^2. You have 100/360 = 50/180 = 5/18 part of the area.
5/18 * πr^2 = 250π
5πr^2/ 18 = 250 π
5r^2/18 = 250
5r^2 = 250 * 18
r^2 =250*18/5 = 50*18 = 900
r = 30
If you don't understand anything feel free to ask!