# Dodecagon  (12-gon)

Definition: A polygon with 12 sides
Try this Adjust the dodecagon below by dragging any orange dot. By clicking on the top left command line, you can switch it between a regular and irregular dodecagon.

## Properties of regular dodecagons

 Interior angle 150° Like any regular polygon, to find the interior angle we use the formula   (180n–360)/n . For a dodecagon, n=12. See Interior Angles of a Polygon Exterior Angle 30° To find the exterior angle of a regular dodecagon, we use the fact that the exterior angle forms a linear pair with the interior angle, so in general it is given by the formula 180-interior angle. See Exterior Angles of a Polygon Area 11.196s2approx Where S is the length of a side. To find the exact area of a dodecagon or any polygon, using various methods, see Area of a Regular Polygon and Area of an Irregular Polygon

## Properties of all dodecagons

 Number of diagonals 54 The number of distinct diagonals possible from all vertices. (In general  ½n(n–3)  ). In the figure above, click on "show diagonals" to see them. See Diagonals of a Polygon Number of triangles 10 The number of triangles created by drawing the diagonals from a given vertex. (In general n–2). In the figure above, click on "show triangles" to see them. See Triangles of a Polygon Sum of interior angles 1800° In general 180(n–2) degrees . See Interior Angles of a Polygon

## Dodecagonal coins

Dodecagons are not seen much in everyday life. However, in Australia, there are coins in the shape of a dodecagon. Below is the 12-sided Australian 50 cent coin. 