扇形

绿色所示的区域便是一个扇形。

扇形(Circular sector)指上被兩條半徑和半徑所截之一段所圍成的圖形。因形狀如一把扇子而得名。圓形不是一種扇形。

弧长

扇形的弧长圆心角

  • (弧度制)
  • (角度制)

面积

扇形的面积圆心角

  • (弧度制)
  • (角度制)

扇形的面积∝弧长:

扇形面积的积分形式:

  • (弧度制)

周长

扇形的周长由弧长和两个半径组成:

  • (弧度制)

弦长

  • (弧度制)

附加性質

  • 圓锥的側面展開圖是扇形。
  • 弓形指扇形割去或補上由弦和兩條半徑所組成的三角形的部分。

参见

参考来源

  • Gerard, L. J. V. The Elements of Geometry, in Eight Books; or, First Step in Applied Logic, London, Longman's Green, Reader & Dyer, 1874. p. 285

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