CBSE board exam date sheet 2025 class 10: The Central Board of Secondary Education (CBSE) has released date sheet for Class X board examination 2025....
CBSE Class 10 Date Sheet 2025 (Released): Check Exam Time Table
November 22, 2024Access Personalised Learning With Embibe Simple!
Download the Learning Outcomes App Today
CBSE Class 10 Date Sheet 2025 (Released): Check Exam Time Table
November 22, 2024CBSE Class 10 Previous Year Question Papers: Solutions, Free PDF Download
November 21, 2024Conservation of Water: Methods, Ways, Facts, Uses, Importance
November 21, 2024NCERT Books 2025 PDFs Download For – CBSE Class 1-12 & Other Boards
November 21, 2024NCERT Solutions for Class 7 2025: Download PDF (Maths & Science)
November 21, 2024CBSE Class 10 Science Question Paper with Solutions: Check Now
November 20, 2024CBSE Class 7 Mock Test 2025
November 18, 2024CBSE Board Class 6 Mock Test 2025
November 18, 2024CBSE Class 7 Sample Papers
November 18, 2024NCERT Solutions for Class 6 History Chapter 4 What Books and Burials Tell Us
November 14, 2024The Octagon is a polygon with eight sides and eight angles in geometry. This means the octagon has eight vertices and edges. Eight straight lines joined together from end to end make an Octagon shape. On this page, we will provide you with all the information on Octogon meaning, definition, shapes, sides, formula etc.,
Let us learn the octagon sides, shape and types of octagons in the article.
Octagon Definition: Any polygon which has 8 sides and 8 angles is known as Octagon in Geometry.
Octagon Meaning: The word Oct means 8 and gon means sides. Together it is known as an Octagon which is nothing but a polygon made of 8 sides.
Octagon belongs to the Polygon family. As we know there are many polygons in geometry such as Triangle, Square, Rectangle, Pentagon, Hexagon etc., similarly, Octagon belongs to the Polygon and the only thing we can differentiate is the Octagon shape from other polygons is that Octagon has 8 sides.
A geometrical shape in a two-dimensional plane makes an Octagon. Eight straight lines that are connected from one end to another end make an Octagon. The shape of the Octagon is given below:
In the above image, we can see that the shape of the Octagon can be seen in the top view of an umbrella and in the traffic signals stop signboard.
There are 20 diagonals in an octagon and those 20 diagonals in Octagon are shown below:
Depending upon the Octagon sides and angles, we can classify the Octagons into two categories:
An octagon whose sides and angles are equal is known as a regular octagon. An Octagon whose sides and angles are unequal is known as an irregular octagon. Refer to the image below to know what is a regular and irregular octagon.
An octagon, whose angles are pointing outwards is known as a convex octagon. The angles of the convex octagon will not be more than 180 degrees. Whereas a concave octagon is an octagon whose one of the angles is pointing inwards.
The octagon formulas are given below:
1. Area of Regular Octagon = 2a2(1+√2) 2. The perimeter of Octagon = Sum of all Sides = 8a (a denotes length of the sides of the octagon) 3. Length of the Diagonal of Octagon = L = a√(4 + 2√2) |
Q1. Find the perimeter regular octagon whose side is 7 cm?
Answer: The side of the Octagon is 7cm.
Using the perimeter formula of a regular octagon = 8a (a denotes length of the sides of the octagon)
= 8 (7)
= 56 cm.
The perimeter of a regular octagon is 56 cm.
Q2. find the area of a regular octagon whose side is 5cm?
Answer: The area of a regular octagon is = 2a2(1+√2)
= 2(5)2(1+√2)
= 2 (25) (1+√2)
= 120.71 sq.cm
The area of a regular octagon is 120.71 sq. cm whose side is 5cm.
Q3.Find the length of the longest diagonal of a regular octagon whose side length is equal to 11cm
Answer: Length of the Diagonal of Octagon = L = a√(4 + 2√2)
= 11√(4 + 2√2)
= 11 √(6√2)
= 11 x √(6.828)
= 11 x 2.613
= 28.743
The length of the longest diagonal of a regular octagon whose side length is equal to 11cm is 28.743.
The frequently asked questions on Octagon are given below:
Q. What is an 8 sided shape called? A. In mathematics, 8 sided shape is called an Octagon. |
Q. How many parallel lines does an octagon have? A. Octagon has four parallel lines. |
Q. How many obtuse angles does a regular octagon have? A. Regular octagon consists of 8 obtuse angles. |
Q. A regular octagon has all its sides___ A. A regular octagon has all its sides equal. |
Q. What is the angle sum of a regular octagon? A. The sum of angles in a regular octagon is equal to 1080 degrees. |
On Embibe, students of Class 8 to 12 can study Science and Math subjects for:
Class 8 Foundation Mock Test Series | Class 8 Practice Questions |
Class 9 Foundation Mock Test Series | Class 9 Practice Questions |
Class 10 Foundation Mock Test Series | Class 10 Practice Questions |
JEE Main Mock Tests (Class 11-12 PCM) | JEE Main Practice Questions (Class 11-12 PCM) |
NEET Mock Tests (Class 11-12 PCB) | NEET Practice Questions (Class 11-12 PCB) |
We hope this detailed article on Octagon is helpful to you. If you have any queries on Octagon, ping us through the comment box below and we will get back to you as soon as possible.
CBSE board exam date sheet 2025 class 10: The Central Board of Secondary Education (CBSE) has released date sheet for Class X board examination 2025....
CBSE Class 10 Previous Year Question Papers: Class 10 CBSE previous year question papers are an important resource for students appearing for the board exams....
Conservation of water: Water covers three-quarters of our world, but only a tiny portion of it is drinkable, as we all know. As a result,...
Best NCERT Books 2025: The National Council of Educational Research and Training (NCERT) is an autonomous agency whose mission is to deliver quality education to...
NCERT Solutions for Class 7 2025: Class 7 is a foundational phase in students' lives and it is important to strengthen the fundamentals. NCERT solutions...
CBSE Class 10 Science Question Paper: CBSE Class 10 is an important threshold of a student's academic life. Students spend hours memorising the concepts from...
Do you want to stand out in the CBSE Board Class 6 annual exam and get a rank? Then, you must have complete knowledge of...
NCERT Solutions for Class 6 History Chapter 4 What Books and Burials Tell Us: The chapter "What Books and Burials Tell Us" is one of...
CBSE Class 12 Eligibility Criteria: The CBSE Class 12 board exams are conducted annually by the Central Board of Secondary education for students of Class...
CBSE Class 10 Registration Form 2025: The registration process is mandatory for all students who will be appearing for the Class 10 board exams. Registration...
CBSE Class 12 Physics Exam Analysis: The CBSE Class 12 Physics exam is held for 100 marks where 70 marks are dedicated to the theory...
CBSE Class 12th Date Sheet 2025: The Central Board of Secondary Education (CBSE) will release the CBSE 12th exam date sheet in December, 2024. The...
NCERT Solutions For Class 6 Science Chapter 16 Garbage In, Garbage Out: The chapter, Garbage In Garbage Out, is about dealing with different types of...
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations: The fourth chapter of Class 10 Maths deals with Quadratic Equations. It is one of...
CBSE Sample Papers for Class 12 Maths: CBSE Class 12 is a board-level exam, and students must put their best foot forward in studying for...
CBSE Class 12 Math Previous Year Question Paper: CBSE Class 12 previous year question papers are an important resource for students preparing for their exams....
CBSE Class 12 Compartment Exam Result 2025: The CBSE Board has declared the CBSE Class 12 Compartment exam result 2025 on August 1, 2025. The...
CBSE Class 10 Compartment Result: Central Board of Secondary Education (CBSE) has declared the CBSE Class 10 compartment exam result on August 4, 2025. Students...
CBSE Class 12 Notes: While preparing for the CBSE Class 12 exam, having detailed notes is crucial. Students cannot read the entire book for each...
CBSE 10th Class Study Material: The CBSE Class 10 board exam is one of the first major moments in a student's life. This stage of...
NCERT Solutions For Biology Class 11 Chapter 6: Class 11 Biology Chapter 6 is about the Anatomy of Flowing Plants. Students can follow this article to...
NCERT Solutions for Class 8 Maths Chapter 5: The NCERT solutions for Data Handling are an extremely useful study resource. It will assist students in...
Practice Octagon Questions with Hints & Solutions
Create Free Account