设园半径为r,扇形的半径为3r(画图),园的面好搏圆积为πr^2,扇形面银磨积为1/6 π(友塌3r)^2=3/2πr^2所以面积比为2:3
R=森链2r+r=3r
S扇形=(π/3)/(2π) ×πR² =配春胡πR²/6 S园=πr²
∴S园/S扇形=(πr²)/(πR²/6)=培拦6r²/R²=6∶9=2∶3
小圆半径r = 1 ,则大圆半径R = 1+2 = 3
小圆面积:扇形桥核面积=小圆面积:大圆面埋消亏积*1/6 = r^2 : R^2*1/6 = 1 弯神: 9*1/6 = 1:3/2 = 2:3