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?
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?
Sector area: A = 250pi 100° : 250pi = 360° : X X = 900pi
Sector angle: q = 100°
Circle radius: r = ? r = sqrt (900) r = 30
( A = r²pi A = 30²pi = 900pi )