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In geometry, an enneagon or nonagon is a nine-sided polygon. The name enneagon comes from Greek enneagonon, (εννεα, nine + γωνον, corner), while nonagon comes from Latin (nonus, "ninth" + gonon). Enneagon is usage consistent with, for example, hexagon; in practice nonagon is often used.

A regular enneagon has internal angles of 140°. The area of a regular enneagon of side length a is given by

A = \frac{9}{4}a^2 \cot \frac{\pi}{9} \simeq 6.18182 a^2.
A regular enneagon is not constructible with compass and straightedge.

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Polygons

Neuneck | dziewięciokąt | Eneágono | Yhdeksänkulmio | 九角形 | 正九邊形

 

This article is licensed under the GNU Free Documentation License. It uses material from the "Enneagon".

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