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math:geometry [2026/08/08 17:43] – created - external edit 127.0.0.1math:geometry [2026/08/08 17:55] (current) – ron
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-# Polygons +====== Polygons ====== 
- +===== Regular Polygons =====
-## Regular Polygons+
   * polygons inscribed within a circle of radius **R** with equal side length **s**   * polygons inscribed within a circle of radius **R** with equal side length **s**
   * each side also spans an arc of angle Θ   * each side also spans an arc of angle Θ
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       * = R√(2 - 2 * cos(Θ))       * = R√(2 - 2 * cos(Θ))
  
-### Pentagon+==== Pentagon ====
   * Θ = 360/5 = 72 degrees (2π/5 radians)    * Θ = 360/5 = 72 degrees (2π/5 radians) 
   * s = R * √(2 - 2 * cos(72-deg)); cos(72) = (-1 + √(5)) / 4 (see [this](https://www.quora.com/How-can-I-get-the-fraction-value-of-cos-72))   * s = R * √(2 - 2 * cos(72-deg)); cos(72) = (-1 + √(5)) / 4 (see [this](https://www.quora.com/How-can-I-get-the-fraction-value-of-cos-72))
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     * ≅ R * 1.17557     * ≅ R * 1.17557
  
-### Hexagon+==== Hexagon ====
   * Θ = 360/6 = 60 degrees   * Θ = 360/6 = 60 degrees
   * s = R * √(2 - 2 * cos(60-deg)) = R * √(2 - 2 * 0.5) = R * √(1)   * s = R * √(2 - 2 * cos(60-deg)) = R * √(2 - 2 * 0.5) = R * √(1)
     * = R     * = R
  
math/geometry.txt · Last modified: by ron

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