Irregular Polygon
Definition: Any polygon that is not a regular polygon. A polygon whose sides are not all the same length or whose interior angles do not all have the same measure.

Try this Adjust the polygon below by dragging any orange dot. Note that only the vertex you drag is affected.

An irregular polygon is any polygon that is not a regular polygon. It can have sides of any length and each interior angle can be any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same. If you drew a polygon at random, it would probably be irregular.

Specific irregular polygons such as a parallelogram have some interesting properties and have their own web pages.

## Equilateral Polygons

Equilateral means that all sides are the same length. But as can be seen from the figure below, this can still be irregular. This figure has all sides the same length, but it does not have all angles the same, so it is irregular.

## Attributes

 Vertex The vertex (plural: vertices) is a corner of the polygon. In any polygon, the number of sides and vertices are always equal. Side The sides are the straight line segments that make up the polygon. Area There is no easy formula for the area of an irregular polygon, but see Area of a Irregular Polygon for some general approaches to the problem. Perimeter The sum of the lengths of the sides. See Perimeter of a polygon
While you are here..

... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone. However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site? When we reach the goal I will remove all advertising from the site.

It only takes a minute and any amount would be greatly appreciated. Thank you for considering it!   – John Page

Become a patron of the site at   patreon.com/mathopenref