Respuesta :

degrees/360=partarea/wholearea

partarea=48pi
degrees=270

270/360=48pi/whole
3/4=48pi/whole
multiply both sides by 4whole
3whole=48pi*4
3whole=192pi
divide by 3
whole=64pi

area=pir^2
64pi=pir^2
divide by pi
64=r^2
sqrt
8=r

radius=8 units