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nonagon : ウィキペディア英語版
nonagon

In geometry, a nonagon (or enneagon ) is a nine-sided polygon or 9-gon.
The name "nonagon" is a prefix hybrid formation, from Latin (''nonus'', "ninth" + ''gonon''), used equivalently, attested already in the 16th century in French ''nonogone'' and in English from the 17th century. The name "enneagon" comes from Greek ''enneagonon'' (εννεα, "nine" + γωνον (from γωνία = "corner")), and is arguably more correct, though somewhat less common than "nonagon".
== Regular nonagon==
A ''regular nonagon'' is represented by Schläfli symbol and has internal angles of 140°. The area of a regular nonagon of side length ''a'' is given by
:A = \fraca^2\cot\frac=(9/2)ar = 9r^2\tan(\pi/9)
:::= (9/2)R^2\sin(2\pi/9)\simeq6.18182\,a^2,
where the radius ''r'' of the inscribed circle of the regular nonagon is
:r=(a/2)\cot(\pi/9)
and where ''R'' is the radius of its circumscribed circle:
:R = \sqrt=r\sec(\pi/9).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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