A regular dodecagon has all 12 sides of equal length and all angles of equal measure. ![]() Dodecagons can be of different types depending upon the measure of their sides, angles, and many such properties. PropertiesĪ dodecagon is a polygon with 12 sides, 12 angles, and 12 vertices. The following table recollects and lists all the important properties of a dodecagon discussed above. Therefore, 10 triangles can be formed in a dodecagon. The number of triangles that are created by these diagonals, can be calculated with the formula: (n - 2), where n = the number of sides. Therefore, there are 54 diagonals in a dodecagon.Ī dodecagon can be broken into a series of triangles by the diagonals which are drawn from its vertices. The number of distinct diagonals that can be drawn in a dodecagon from all its vertices can be calculated by using the formula: 1/2 × n × (n-3), where n = number of sides. ![]() The sum of the exterior angles of a regular dodecagon is 360°. Thus, each exterior angle has a measure of 30°. If we observe the figure given above, we can see that the exterior angle and interior angle form a straight angle (180°). The sum of the interior angles of a dodecagon can be calculated with the help of the formula: (n - 2 ) × 180° = (12 – 2) × 180° = 1800°.Įach exterior angle of a regular dodecagon is equal to 30°.This can be calculated by using the formula: Each interior angle of a regular dodecagon is equal to 150°.The properties of a dodecagon are listed below which explain about its angles, triangles, and its diagonals. In a concave dodecagon, at least one of its interior angles is greater than 180° and the vertices of a concave dodecagon can be inwards and outwards as seen in the figure given below.Ī dodecagon in which none of its interior angles is greater than 180° and where no vertex points inwards is called a convex dodecagon as seen in the figure given below. Observe the second dodecagon shown in the figure given above which shows an irregular dodecagon. Hence, they all look quite different from each other, but they all have 12 sides. There can be an infinite amount of variations. Irregular dodecagons have sides and angles of different measures. Observe the first dodecagon shown in the figure given above which shows a regular dodecagon. It is a 12-sided polygon that is symmetrical. Regular DodecagonĪ regular dodecagon has all 12 sides of equal length and all angles of equal measure. Let us go through the various types of dodecagons. ![]()
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