From Simple English Wikipedia, the free encyclopedia
A dodecagon
A dodecagon or 12-gon is a shape with 12 sides and 12 corners.
All sides of a regular dodecagon are the same length. Each corner is 150°. All corners added together equal 1800°.
The amount of space a regular dodecagon takes up is
![{\displaystyle {\begin{aligned}A&=3\cot \left({\frac {\pi }{12}}\right)a^{2}=3\left(2+{\sqrt {3}}\right)a^{2}\\&\approx 11{,}19615\,a^{2}.\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0ff03bce999433445faaed5dbb484b2360c67469)
- The variable A represents the area, and the variable a represents the apothem.
The perimeter of a regular dodecagon is
The variable P represents the perimeter, and the variable s represents one side.
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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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