What is a Polygon?

A polygon is a closed figure in a two-dimensional plane that is made up of more than two line segments. These line segments are joined with other line segments and they make a closed figure of polygons. Also, the point where these line segments meet each other in a polygon is called the vertex of the polygon.

The word polygon can be divided into two words 'poly' and 'gon' which means 'many' and 'sides' respectively thus we can also call a polygon a closed figure which has many sides. The closed shape must have sides and angles in it otherwise it cannot be called a polygon. Some of the day-to-day examples of polygons are square, triangle, pentagonal, and hexagonal.

Properties of Polygon

We can find the summation of all the interior angles of n-sided polygons using the formula (n – 2) × 180°.
n(n – 3)/2 can be used for finding the number of diagonals in n-sided polygons.
[(n – 2) × 180°]/n can be used for finding the measure of each interior angle of a -sided polygon.
360°/n can be used for finding the measure of each exterior angle of an n-sided polygon.

Types of Polygons

As we have been informed in the earlier article that there are four main types of polygons. Let's study each of them briefly.

Regular Polygon

A polygon in which all the sides and interior angles are equal to such a polygon is considered a regular polygon. Also, equiangular polygons and equilateral polygons are considered regular polygons. Some examples of regular polygons are square, rhombus, equilateral triangle, and many more.

Irregular Polygon

A polygon in which all the sides and interior angles are unequal than such polygon is considered an irregular polygon. Some examples of regular polygons are scalene triangles, rectangles, kites, and many more.

Convex Polygon

If the polygon has all the interior angles less than 180° and the line segments don't go outside of the polygon then such a polygon is known as a convex polygon.

Concave Polygon

If any one of the interior angles of a polygon is more than 180° then that polygon is known as a Concave polygon.

Classification Of Polygons

The polygons are classified based on the number of sides or the number of an angle an individual polygon has. Some of the Polygons are classified as follows

Polygon	No. of sides	No. of Diagonal	No. of vertices	Interior Angle
Triangle	3	0	3	60
Quadrilateral	4	2	4	90
Pentagon	5	5	5	108
Hexagon	6	9	6	120
Heptagon	7	14	7	128.571
Octagon	8	20	8	135
Nonagon	9	27	9	140
Decagon	10	35	10	144
Hendecagon	11	44	11	147.273
Dodecagon	12	54	12	150
Triskaidecagon	13	65	13	158.308
Tetrakaidecagon	14	77	14	154.286
Pentadecagon	15	90	15	156

Conclusion

We conclude from the provided information that there are a total of four types of Polygons and these polygons are divided into different types based on the sides and angles of polygons. Also, the other twelve classifications of Polygons are discussed in this article.