hexagon
An hexagon is a -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 .
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The smallest for which a regular -gon has diagonals which are not congruent is . 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 |
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Canonical name | Hexagon |
Date of creation | 2013-03-22 12:10:47 |
Last modified on | 2013-03-22 12:10:47 |
Owner | Wkbj79 (1863) |
Last modified by | Wkbj79 (1863) |
Numerical id | 16 |
Author | Wkbj79 (1863) |
Entry type | Definition |
Classification | msc 51-00 |
Related topic | Polygon |
Related topic | Pentagon |