Hendecagon
A hendecagon
A hendecagon or undecagon or 11-gon is a shape with 11 sides and 11 corners.
Regular hendecagon
All sides of a regular hendecagon are the same length. Each corner is 147.27°. All corners added together equal 1619.97°.
Area
The amount of space a regular hendecagon takes up is
![{\displaystyle \alpha ={\frac {(n-2)}{n}\cdot 180^{\circ }={\frac {9}{11}\cdot 180^{\circ }\approx 147{,}273^{\circ }](https://wikimedia.org/api/rest_v1/media/math/render/svg/d8e60981c6d1307f13839e20a9c079df566016f3)
![{\displaystyle A={\frac {11}{4}a^{2}\cot {\frac {\pi }{11}\approx 9,36564a^{2}\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0820d3e254532ef63b35dc40a86dc787a05090)
a is the length of one of its sides.
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Special cases, including regular polygons with their own names, in parentheses List of polygons by number of sides |
1–10 sides | | |
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11–20 sides | |
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21–30 sides | |
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31–50 sides | |
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51–100 sides (selected) | |
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>100 sides | |
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Star polygons (5–12 sides) | |
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Triangles | |
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Quadrilaterals | |
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