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知道周长怎么求面积求解

2025-04-08 09:44:27

推荐回答（1个）

回答1：

圆知道周长L,则半径=L/(2π),面积=π*L/(2π)*L/(2π) = L平方/(4π)
等边三角知道周长L,则边长=L/3,面积 = 1/2*L/3*L/3*√3/2 = √3 L平方/36
正方形知道周长L,则边长=L/4,面积 = L/4*L/4 = L平方/16
正n变形知道周长L,边长=L/n,圆心角=2π/n,每个三角形高h=(L/2n)cot(π/n),面积=n*1/2*L/n*(L/2n)cot(π/n)=L平方cot(π/n)/(4n)

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