正方形与圆的面积相同,谁的周长大
正方形与圆的面积相同,谁的周长大
数学人气:349 ℃时间:2020-01-26 07:05:56
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设正方形边长为a,圆的半径为r,因为正方形和圆的面积相同,所以a*a=pi*r*r所以a=√pi*r正方形周长-圆的周长=4*a-2*pi*r=4*√pi*r-2*pi*r=2*√pi*r(2-√pi)>0所以说,圆的周长小.--------------------------------------...
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