﻿ What are Types of Polygons

# What are Types of Polygons

It depends on how to classify. In geometry, a polygon is a closed plane figure that is made of three or more straight line segments. These segments form the sides (intersect or non-intersect) and interior angles of the polygon. The types of polygons are determined by polygons' sides, angles or how they are arranged, which means a polygon could fall into multiple types if it meets the definitions.

## Convex and Concave Polygons

A convex polygon is a polygon that has no interior angle greater than 180°. All of the vertices of a convex polygon are outwards.

A concave polygon has at least one interior angle greater than 180° and at least one vertex inwards.

## Regular and Irregular polygons

An irregular polygon does not have congruent sides and interior angles.

A regular polygon has congruent sides and interior angles. It has all of its sides equilateral and all of its interior angles equiangular.

## Simple and Complex Polygons

Simple polygons have no self-intersecting sides. Triangles are always simple polygons.

Complex polygons, on the other hand, have at least two sides that intersect each other. The minimum sides to draw a complex polygon is four. For example, an antiparallelogram is a complex quadrilateral that has two sides cross over each other.

Another example of complex polygons is star polygon. A star is a regular polygon: simple or complex. A regular star polygon is a self-intersecting equilateral equiangular polygon. Try the regular star polygon generator below.

## Regular Star Polygon Generator

How to make the regular star polygon?

First draw a regular polygon based on a circle.

Second, join the vertices every other point to get the regular star polygon.

The minimum number of vertices to draw a regulat star polygon is 5.

Just input the number of vertices and click the generate button.

## Names of Polygons

Interior angle if the polygons are regular.

\begin{array}{|c|c|c|} \hline \text{name}&\text{sides}&\text{interior angle} \\ \hline \text{Triangle (or Trigon)}&3&60° \\ \hline \text{Quadrilateral (or Tetragon)}&4&90° \\ \hline \text{Pentagon}&5&108° \\ \hline \text{Hexagon}&6&120° \\ \hline \text{Heptagon (or Septagon)}&7&128.571° \\ \hline \text{Octagon}&8&135° \\ \hline \text{Nonagon (or Enneagon) }&9&140° \\ \hline \text{Decagon}&10&144° \\ \hline \text{Hendecagon (or Undecagon)}&11&147.273° \\ \hline \text{Dodecagon}&12&150° \\ \hline \text{Triskaidecagon}&13&152.308° \\ \hline \text{Tetrakaidecagon}&14&154.286° \\ \hline \text{Pentadecagon}&15&156° \\ \hline \text{Hexakaidecagon}&16&157.5° \\ \hline \text{Heptadecagon}&17&158.824° \\ \hline \text{Octakaidecagon}&18&160° \\ \hline \text{Enneadecagon}&19&161.053° \\ \hline \text{Icosagon}&20&162° \\ \hline \text{Triacontagon}&30&168° \\ \hline \text{Tetracontagon}&40&171° \\ \hline \text{Pentacontagon}&50&172.8° \\ \hline \text{Hexacontagon}&60&174° \\ \hline \text{Heptacontagon}&70&174.857° \\ \hline \text{Octacontagon}&80&175.5° \\ \hline \text{Enneacontagon}&90&176° \\ \hline \text{Hectagon}&100&176.4° \\ \hline \text{Chiliagon}&1000&179.64° \\ \hline \text{Myriagon}&10000&179.964° \\ \hline \text{Megagon}&1000000&~180° \\ \hline \text{Googolgon}&10100&~180° \\ \hline \end{array}

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