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hexagon∗ Wkbj79† 2013-03-21 13:11:50 An hexagon is a 6-sided polygon. The most commonly quoted hexagon is a regular 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 of any interior angle of a regular hexagon is 120◦ . • 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. ∗ hHexagoni created: h2013-03-21i by: hWkbj79i version: h31441i Privacy setting: h1i hDefinitioni h51-00i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1 • 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. 2