【求圆内接多边形的边长的土公式,是直径除以一些常数,举例内接-查字典问答网
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  【求圆内接多边形的边长的土公式,是直径除以一些常数,举例内接三角形的边长,是圆直径除以1.155,圆内接四边形是圆直径除以1.414,正五边形是直径除以1.7,等等,求正十边行到正二十四边行的土】

  求圆内接多边形的边长的土公式,是直径除以一些常数,举例内接三角形的边长,是圆直径除以1.155,

  圆内接四边形是圆直径除以1.414,正五边形是直径除以1.7,等等,求正十边行到正二十四边行的土公式.

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2020-03-3015:41
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罗晓晖

  对圆内接正n多边形:

  sin(π/n)=a(n)/(2R)=a(n)/D

  a(n)=D*sin(π/n)

  a(3)≈D*0.866x09或:x09a(3)≈D/1.155

  a(4)≈D*0.707x09或:x09a(4)≈D/1.414

  a(5)≈D*0.588x09或:x09a(5)≈D/1.7

  a(6)≈D*0.500x09或:x09a(6)=D/2

  a(7)≈D*0.434x09或:x09a(7)≈D/2.305

  a(8)≈D*0.383x09或:x09a(8)≈D/2.613

  a(9)≈D*0.342x09或:x09a(9)≈D/2.924

  a(10)≈D*0.309x09或:x09a(10)≈D/3.236

  a(11)≈D*0.282x09或:x09a(11)≈D/3.549

  a(12)≈D*0.259x09或:x09a(12)≈D/3.864

  a(13)≈D*0.239x09或:x09a(13)≈D/4.179

  a(14)≈D*0.223x09或:x09a(14)≈D/4.494

  a(15)≈D*0.208x09或:x09a(15)≈D/4.81

  a(16)≈D*0.195x09或:x09a(16)≈D/5.126

  a(17)≈D*0.184x09或:x09a(17)≈D/5.442

  a(18)≈D*0.174x09或:x09a(18)≈D/5.759

  a(19)≈D*0.165x09或:x09a(19)≈D/6.076

  a(20)≈D*0.156x09或:x09a(20)≈D/6.392

  a(21)≈D*0.149x09或:x09a(21)≈D/6.71

  a(22)≈D*0.142x09或:x09a(22)≈D/7.027

  a(23)≈D*0.136x09或:x09a(23)≈D/7.344

  a(24)≈D*0.131x09或:x09a(24)≈D/7.661

  -----------------------------------------------

  D表示直径,

  R表示半径,

  a(n)表示圆内接正n多边形边长

  *是乘号

  /是除号

2020-03-30 15:45:55
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