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.
Polygon Definition
Polygons are flat, two-dimensional figures composed of straight sides that form a fully enclosed shape. In geometry, the polygon is a plane figure made up of line segments connected to form a closed polygonal chain. They consist of straight sides, not curves, and can have any varying number of sides. Some polygons of different kinds are: open, boundary only, closed and self-intersecting.
In geometry, a Polygon is defined as a closed, two-dimensional shape that lies flat in a plane and is enclosed by straight sides.
A Polygon lacks curved sides, and its edges are the straight segments defining its boundary. The meeting points of these edges are termed vertices or corners.
Polygon Examples
In terms of mathematics triangles, hexagons, pentagons, and quadrilaterals are examples of Polygons. Real-life examples of Polygon are rectangular-shaped screen on your laptop, television, mobile phone; rectangular football pitch or playground, Bermuda Triangle and Egypt’s Pyramids of triangular shape.
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 |
|
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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