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Regular hendecagon | |||
---|---|---|---|

Edges and vertices | 11 | ||

Schläfli symbols | {11} | ||

Coxeter–Dynkin diagrams | - | Symmetry group | Dihedral (D_{11}) |

Area (with t=edge length) | $A\; =\; frac\{11\}\{4\}t^2\; cot\; frac\{pi\}\{11\}$ $simeq\; 9.36564\; t^2.$ | ||

Internal angle (degrees) | 180°×(1-2/11) =147°.2727... |

In geometry, a hendecagon (also undecagon) is an 11-sided polygon. The name "undecagon" is often seen as incorrect, but the matter is up for debate. The prefix should be the Greek 'hen', not the Latin 'un' (which is also of Greek origin) . A hendecagon has 11 sides. A regular hendecagon has internal angles of 147.272727... degrees. The area of a regular hendecagon with side length a is given by

- $A\; =\; frac\{11\}\{4\}a^2\; cot\; frac\{pi\}\{11\}\; simeq\; 9.36564,a^2.$

The Canadian dollar coin, the loonie, is patterned on a regular hendecagonal prism, as is the Indian two-rupee coin.

It was also patterned on the Susan B. Anthony dollar of the United States from 1979-1981 and again in 1999.

- Properties of an Undecagon (hendecagon) With interactive animation

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Last updated on Wednesday September 17, 2008 at 21:40:52 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Wednesday September 17, 2008 at 21:40:52 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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