Octagon Frequently Asked Questions

What are Properties of Regular Octagon ?

A regular octagon has 8 sides and 8 angles. Each interior angle are equal, measuring 135o each. Each Exterior angles are equal, measuring 45o each . It has 20 diagonals in all.

What is Sum of all angles of Irregular Octagon ?

The sum of all interior angles of a irregular polygon is always 1080o.

What are Classifications of Octagon?

Octagon are classified into following categories:

  • Regular and Irregular Octagon
  • Concave and Convex Octagon

What is difference Between Concave and Convex Octagon?

Octagon in which all of its interior angles is less than 180° and all angles are pointing outward are known as convex octagon whereas if any one of the angle in octagon has angle more than 180° is concave octagon.

What is Hexagon vs Octagon ?

Both Hexagon and Octagon are geometric shapes but differ in the number of sides. A Regular hexagon has 6 equal sides and 6 equal angles each angle of 120o whereas for regular octagon it has 8 equal side and 8 equal angles each angle of 135o.

What is Regular and Irregular Octagon ?

A regular octagon has all sides and all angles equal whereas in irregular octagon, all sides and angles are not equal.



Octagon

Octagon is an eight-sided two-dimensional geometrical figure. An octagon consists of 8 interior angles and 8 exterior angles. The octagon has many interesting properties that make it a unique shape. The sum of its exterior angle is 360o and the sum of its interior angle is 1080o. There are 20 diagonals in an octagon.

In this article, we will learn the meaning and definitions of the octagon, its types, properties, area and perimeter of an octagon, and angles of an octagon, with some solved examples.

Table of Content

  • What is Octagon?
  • Octagon Angle
  • Octagon Formula
  • Octagonal Line of Symmetry
  • How to Draw an Octagon
  • Applications of Octagon

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What is Octagon?

Octagon is a 2-D figure which consists of eight sides and eight angles. An octagon has 8 vertices and 8 edges. The word ‘octagon’ is derived from the Greek word ‘okta’ meaning eight and ‘gon’ meaning ‘side or angle’. Octagons are further classified as regular and irregular octagon. Every polygon is either convex or concave. A regular octagon is an example of convex octagon. Octagon shapes are generally used in stop signs, tiles, etc....

Octagon Angle

Octagon has eight sides and consist of eight angles. It has both interior and exterior angles. Angles inside the octagon are interior angles of octagon. Similarly, the angles at the exterior side of the octagon are termes as exterior angles. In an octagon, there are 8 interior and 8 exterior angles....

Octagon Formula

Octagon is widely used in geometry, few of its important formula are explained below:...

Octagonal Line of Symmetry

Line of Symmetry is defined as a balanced proportionate similarity that is found in two halves of an object. Thus being an 8 sided polygon it has 8 line of symmetry. These line of symmetry can be drawn for an octagon and are drawn as given below :...

Octagonal Prism

Octagonal Prism is a 3D ( Three Dimensional ) solid consist of two octagonal bases joined together by eight rectangular faces. It has total of 10 faces out of which 8 are rectangular and 2 are octagonal. It has 24 edges and 16 vertices. Altogether, the octagon prism has 10 faces, combining the surfaces of octagonal bases and rectangular faces....

Octagonal Pyramid

Octagonal Pyramid is a 3D figure with one octagon as the base with eight connecting triangles. It has total of 9 faces out of which 8 are triangle and 1 is octagon. It has 16 edges and 9 vertices. The vertex on top is the apex of the pyramid. The height of an octagonal pyramid is the length of line segment that’s perpendicular to the base which run through the apex of the pyramid....

How to Draw an Octagon

To draw an octagon, plese use the following steps:...

Applications of Octagon

Some application or real-life based examples where we see octagon are :...

Solved Examples On Octagon

Example 1. Calculate the longest Diagonal of a Regular Octagon, whose Perimeter is 40cm ?...

Practice Questions on Octagon

Q1. If the Side length of a regular octagon is 20cm. Calculate the perimeter of the octagon....

Octagon Frequently Asked Questions

What are Properties of Regular Octagon ?...