hexagon
An hexagon^{} is a $6$sided polygon^{}. The most commonly quoted hexagon is a regular^{} (http://planetmath.org/RegularPolygon) hexagon, having congruent sides and congruent interior angles^{}. Below is an example of a regular hexagon:
Below are some properties of regular hexagons in Euclidean geometry^{}:

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The measure (http://planetmath.org/AngleMeasure) of any interior angle of a regular hexagon is ${120}^{\circ}$.

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The smallest $n$ for which a regular $n$gon has diagonals which are not congruent is $n=6$. For example, in the regular hexagon below, the diagonal drawn in blue and the one drawn in red are not congruent.

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The side of a regular hexagon has the same length as the radius of the circle circumscribing it. This fact is illustrated below.
From the last remark, it is easy to see that a regular hexagon is constructible using compass and straightedge.
Title  hexagon 

Canonical name  Hexagon 
Date of creation  20130322 12:10:47 
Last modified on  20130322 12:10:47 
Owner  Wkbj79 (1863) 
Last modified by  Wkbj79 (1863) 
Numerical id  16 
Author  Wkbj79 (1863) 
Entry type  Definition 
Classification  msc 5100 
Related topic  Polygon 
Related topic  Pentagon^{} 