In a circle, a 270 sector has area 675pie in^2. What is the radius of the circle ?

Area of sector = pi r^2 • angle/360

Pi r^2• 270/360 = 675pi ( cancel pi on both sides)

R^2 •3/4 = 675
R^2 = 675 • 4/3
R^2 = 900
R = square root of 900
R= 30
The radius is 30