扇形面积S=1/2αR² 扩大与扩大到是有原则区别的,圆心角扩大二倍,即扩大到3倍,β=3α半径扩大3倍,即扩大到4倍,R=4r面积之比S2:S1 = (1/2βR²) : (1/2αr²) = (1/2*3α*16r²) : (1/2αr²) = 48:1如果是扩大到而非扩大,圆心角扩大到二倍,β=2α半径扩大到3倍,R=3r面积之比S2:S1 = (1/2βR²) : (1/2αr²) = (1/2*2α*9r²) : (1/2αr²) = 18:1