若扇形的面积是56cm2,周长是30cm,则半径是

问题描述:

若扇形的面积是56cm2,周长是30cm,则半径是

S=nπr²/360=56····················1
C=nπr/180+2r=30················2
联立1、2两式解得:
(15-r)r=56
r²-15r+56=0
(r-7)(r-8)=0
解得:
r=7 或 r=8