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.

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