Types of Polygons

Depending on the sides and angles, the Polygons can be classified into different types on different basis such as:

  • On the Basis of Sides
  • On Basis of Angles
  • On Basis of Boundary

Polygon – Shape, Formula, Types, and Examples

Polygon in Maths is a two-dimensional shape made up of straight lines that form a closed polygonal chain. The word “polygon” comes from the words “poly” and “gon”, which mean “many” and “sides”.

Polygons can be simple or self-intersecting. A simple polygon does not intersect itself, except at the shared endpoints of consecutive segments. A polygonal chain that crosses over itself creates a self-intersecting polygon. Polygons can also be classified as concave or convex.

In this article, we have mentioned in detail about Polygons and their types, formulas, and examples.

Important Facts about Polygons

Sum of Interior Angles of Polygon

(n–2) × 180°

Number of Diagonals in Polygon

n(n–3)/2

Interior Angle of Regular Polygon

{(n–2) × 180°}/n

Exterior Angle of Regular polygon

360°/n

Table of Content

  • What are Polygons?
    • Polygon Definition
  • Polygon Chart based on Number of Sides
  • Properties of Polygons
  • Polygon Shapes
  • Types of Polygons
    • Polygons on the Basis of Sides
    • Polygons On Basis of Angles
    • Polygons On Basis of Boundaries
  • Polygon Formulas
    • Area of Polygons
    • Perimeter of Polygons
  • Angles in Polygons
  • FAQs

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What are Polygons?

The term ‘Polygon’ originates from the Greek word “polugonos”, where ‘poly’ signifies ‘many,’ and ‘gon’ denotes ‘angle.’ Generally, a polygon is a closed figure formed by straight lines, with its interior angles created by these lines. To constitute a closed shape, a minimum of three-line segments is necessary. It is commonly known as a Triangle or a 3-gon. The general term for an n-sided Polygon is an n-gon....

Parts of a Polygon

A Polygon comprises three fundamental components:...

Polygon Chart based on Number of Sides

Nomenclature of Polygon defined on the basis of number of sides they possess. It is designated as n-gons, where ‘n’ signifies the number of sides. Polygons are generally identified by the quantity of their edges. For example, a polygon with five sides is termed a 5-gon, while one with ten sides is referred to as a 10-gon....

Properties of Polygons

The properties of Polygons identify them easily. The following properties contribute to know the Polygons easily:...

Polygon Shapes

A Polygon is a flat, two-dimensional shape characterized by straight sides connected to form a closed figure. Examples of Polygon shapes include:...

Types of Polygons

Depending on the sides and angles, the Polygons can be classified into different types on different basis such as:...

Polygons on the Basis of Sides

Polygons can be categorized based on the characteristics of their sides into two primary types:...

Polygons On Basis of Angles

Polygons can be classified based on the nature of their angles into two main categories:...

Polygons On Basis of Boundaries

Polygons can be categorized based on the nature of their boundaries into two primary types:...

Polygon Formulas

There are several formulas related to polygons in geometry. Some of the most commonly used ones include:...

Angles in Polygons

In geometry, angles in polygons refer to the angles formed by the sides of a polygon, both in the interior and exterior of the polygon. Thus, there can be both angles in polygon i.e.,...

Conclusion

Polygon is a closed figure bounded by three or more line segments Sum of Interior Angles: The sum of all interior angles in an n-sided polygon is given by the formula (n–2)×180°. Number of Diagonals: For a polygon with n sides, the number of diagonals is calculated using the formula n(n–3)/2. Triangles Formed by Diagonals: The number of triangles formed by joining diagonals from a single corner of a polygon is n–2. Interior Angle of Regular Polygon: The measure of each interior angle in an n-sided regular polygon is {(n–2)×180°}/n. Exterior Angle of Regular Polygon: The measure of each exterior angle in an n-sided regular polygon is 360°/n....

Solved Examples on Polygon in Maths

Example 1: Consider a quadrilateral with four sides. Find the sum of all its interior angles of quadrilateral....

Practice Questions on Polygons in Geometry

Following are some practice questions based on the formula of polygons:...

FAQs on Polygons in Maths

What is a Polygon in Maths?...

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