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:
Triangle
- It has 3 sides and 3 vertices.
- It has no diagonals.
- Sum of the interior is 180°.
Quadrilateral
- It has 4 sides and 4 vertices.
- It has 2 diagonals.
- Sum of the interior angle is 360°.
Pentagon
- It has 5 sides and 5 vertices.
- It has 5 diagonals.
- Sum of the interior angle is 540°.
Hexagon
- It has 6 sides and 6 vertices.
- It has 9 diagonals.
- Sum of the interior angle is 720°.
Heptagon
- It has 7 sides and 7 vertices.
- It has 14 diagonals.
- Sum of the interior angle is 900°.
Octagon
- It has 8 sides and 8 vertices.
- It has 20 diagonals.
- Sum of the interior angle is 1080°.
Nonagon
- It has 9 sides and 9 vertices.
- It has 27 diagonals.
- Sum of the interior angle is 1260°.
Decagon
- It has 10 sides and 10 vertices.
- It has 35 diagonals.
- Sum of the interior angle is 1440°.
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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