Heptagon: Definition, Shape, Types, Properties & Formulas

What is Heptagon? It is a regular polygon with equal sides and angles. Heptagon consists of seven sides and vertices. It is also called a septagon, There are different types of heptagon depending on angles and diagonals such as regular and irregular heptagon and convex and concave heptagon.

Students learn geometrical shapes from an early age in order to solve geometrical problems in fractions of seconds. You can check NCERT Solution for Class 6 Maths Chapter 5 for better understanding. We have provided detailed information on heptagon in this article. Read on to find out about Heptagon’s definition, properties, and examples.

What Is Heptagon?

Heptagon is a two-dimensional polygon with equal sides and angles. It is a seven-sided polygon. The word heptagon is derived from hepta meaning seven and gon meaning sides. The heptagon consists of 14 diagonals and measures the sum of interior angles to 900 degrees. We can say that heptagon is a closed shape made of a straight line. Sometimes, heptagon is also called a Septagon.

There are two types of heptagon such as:

Regular and Irregular Heptagon: Heptagon having equal sides and angles are called regular heptagon whereas, heptagon having unequal sides and angles is called as irregular heptagon.
Convex and Concave Heptagon: The diagonals lying inside the heptagon is called as convex heptagon whereas, the diagonals lying outside the heptagon with one or two interior angles greater than 180 degree is called as concave heptagon.

Perimeter Of Heptagon

The perimeter of the heptagon is the sum of length of its sides.

Perimeter of Heptagon= 7 x a (Sides)

Area Of Heptagon

The area of heptagon is the space occupied by the sides of the heptagon.

Area of Heptagon= 3.634 x a² (Side Length)

Properties Of Heptagon

Some of the properties of heptagon are as follows:

It has seven sides, angles and vertices.
It has 14 diagonals.
The sum of interior angles is equal to 900 degrees.
The sum of exterior angles is equal to 300 degrees.
Regular heptagons are also known as convex heptagon.
There are five triangles appearing in heptagon.

Download NCERT Solution for Class 6 Maths Chapter 5 PDF

Examples Of Heptagon

Some of the examples of heptagon are given below:

Example 1: Find the area of regular heptagon whose side is 6 cm?

Solution: The side of a heptagon, a = 6 cm

We know that

The area of a heptagon, A = 3.634 x 6 ² square units

A= 3.634 X 36

A= 130.82 cm²

Therefore, the area of heptagon is 130.82 cm²

Example 2: Find the perimeter of regular heptagon whose side is 4 cm?

Solution: Given, a = 4 cm

The perimeter of heptagon is P= 7 x a

P= 7 x 4= 28

Therefore, the perimeter of heptagon is 28 cm

Also, Check:

NCERT Class 6 English Book	CBSE Class 6 English Syllabus
NCERT Class 6 Maths Book	CBSE Class 6 Maths Syllabus
NCERT Class 6 Science Book	CBSE Class 6 Science Syllabus
NCERT Class 6 Social Science Book	CBSE Class 6 SST Syllabus
NCERT Class 6 Hindi Book	CBSE Class 6 Hindi Syllabus

FAQs On Heptagon

The frequently asked question on heptagon are given below:

Q. What is heptagon?
A. It is a regular polygon with equal sides and angles.

Q. What is area of heptagon?
A. The area of heptagon is the space occupied by the sides of the heptagon. The formula of area of heptagon is 3.634 x a² (Side Length)

Q. What is perimeter of heptagon?
A. The perimeter of heptagon is the sum of length of its sides. The formula of perimeter of heptagon is 7 x a (Sides)

Q. What are the types of heptagon?
A. The types of heptagon are regular and irregular heptagon and convex and concave heptagon.

We have now provided you with detailed information on heptagon. It is a good practice to solve the NCERT exercise questions from the start and be ahead in terms of understanding concepts and marks. Thus, start your practice now!

We hope this article on Heptagon helps you. If you have any questions, feel to comment below. We will get back to you at the earliest.