math:geometry
Differences
This shows you the differences between two versions of the page.
| math:geometry [2026/08/08 17:43] – created - external edit 127.0.0.1 | math:geometry [2026/08/08 17:55] (current) – ron | ||
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| Line 1: | Line 1: | ||
| - | # 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 | ||
| Line 11: | Line 10: | ||
| * = 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)); | * s = R * √(2 - 2 * cos(72-deg)); | ||
| Line 18: | Line 17: | ||
| * ≅ 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
