100 LearnersLast updated on July 25th, 2025
Perimeter of Hexagon
The perimeter of a shape is the total length of its boundary. The sum of all six sides is called the perimeter of a hexagon. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a hexagon.
What is the Perimeter of a Hexagon?
The perimeter of a hexagon is the total length of its six sides. By adding the length of all six sides, we get the perimeter of the shape. The formula for the perimeter of a hexagon is π = πβ + πβ + πβ + πβ + πβ + πβ, where πβ, πβ, πβ, πβ, πβ , and πβ are the sides of the hexagon. For instance, if a hexagon has sides, πβ = 6, πβ = 8, πβ = 10, πβ = 7, πβ = 9, and πβ = 12, then its perimeter is π = 6 + 8 + 10 + 7 + 9 + 12 = 52.
Formula for Perimeter of Hexagon - π· = πβ + πβ + πβ + πβ + πβ + πβ.
Letβs consider another example of a hexagon with side lengths, πβ = 8, πβ = 10, πβ = 12, πβ = 9, πβ = 11, and πβ = 13. So the perimeter of the hexagon will be: π· = πβ + πβ + πβ + πβ + πβ + πβ = 8 + 10 + 12 + 9 + 11 + 13 = 63.
How to Calculate the Perimeter of Hexagon
To find the perimeter of a hexagon, we just need to apply the given formula and sum all the sides of the hexagon. For instance, a given hexagon has the sides of πβ = 7, πβ = 7, πβ = 7, πβ = 7, πβ = 7, and πβ = 7. Perimeter = sum of all sides = 7 + 7 + 7 + 7 + 7 + 7 = 42 cm. Example Problem on Perimeter of Hexagon - For finding the perimeter of a hexagon, we use the formula, π· = πβ + πβ + πβ + πβ + πβ + πβ. For example, letβs say, πβ = 5 cm, πβ = 5 cm, πβ = 5 cm, πβ = 5 cm, πβ = 5 cm, and πβ = 5 cm. Now, the perimeter = sum of all sides = 5 + 5 + 5 + 5 + 5 + 5 = 30 cm. Therefore, the perimeter of the hexagon is 30 cm.
Tips and Tricks for Perimeter of Hexagon
Learning some tips and tricks makes it easier for children to calculate the perimeter of hexagons. Here are some tips and tricks given below: Always remember that a hexagon's perimeter is simply the sum of the six sides of the shape. For that, use the formula, π· = πβ + πβ + πβ + πβ + πβ + πβ. Calculating the perimeter of a hexagon starts by determining the length of each side. Once the side lengths are known, they can be added together to find the total perimeter. To reduce confusion, specifically arrange the indicated side lengths if you need the perimeter of a group of hexagons. After that, apply the formula to each hexagon. To avoid mistakes when adding the perimeter, make sure the side lengths are precise and consistent for common uses like gardening and architecture. If you are given the semi-perimeter, which is half the perimeter, you can multiply it by 2 to determine the full perimeter.
Common Mistakes and How to Avoid Them in Perimeter of Hexagon
Did you know that while working with the perimeter of a hexagon, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:
Mistake 1
Confusing the perimeter with the area of a hexagon.
Remember that the perimeter is the sum of all the side lengths of the hexagon, measured in linear units, while the area is the space within the hexagon, measured in square units.
Mistake 2
Using the wrong formula for the perimeter.
Ensure to use the correct formula: π· = πβ + πβ + πβ + πβ + πβ + πβ, which is specific to the hexagon.
Mistake 3
Assuming all hexagons are regular without checking the side lengths.
A regular hexagon has all sides of equal length. Always verify the side lengths to ensure accurate calculations.
Mistake 4
Using incorrect values for the length of the sides or misreading a problem.
Double-check the problem and ensure that you're using the correct lengths for your hexagon.
Mistake 5
Misidentifying the side lengths that are given in a problem outline.
Before starting the calculations, make sure that you understand the problem and, if possible, try to draw a hexagon to accurately identify the side lengths.
Perimeter of Hexagon Examples
Problem 1
A hexagonal-shaped garden path has a perimeter of 96 meters, with each side measuring 16 meters. Verify the perimeter calculation.
The perimeter is indeed 96 meters.
Explanation
Given that each side of the hexagon is 16 meters, and there are six sides, the perimeter is calculated as follows: Perimeter of hexagon = sum of the lengths of six sides = 16 + 16 + 16 + 16 + 16 + 16 = 96 meters.
Problem 2
A wire with a length of 120 inches is reshaped into a regular hexagon. Find the length of each side.
20 inches
Explanation
Given that the wire forms a regular hexagon: Perimeter of a regular hexagon = 6 Γ length of one side 120 = 6 Γ π 120 Γ· 6 = 20 π = 20 Therefore, the length of each side of the hexagon is 20 inches.
Problem 3
Find the perimeter of a regular hexagon whose sides are 9 cm each.
54 cm
Explanation
Perimeter of hexagon = 6 Γ side length π· = 6 Γ 9 = 54 Therefore, the perimeter of the hexagon is 54 cm.
Problem 4
A regular hexagonal table has sides each measuring 4 feet. How much trim is needed to go around the table edge?
24 feet
Explanation
The perimeter of a hexagon is the sum of all its sides. For a regular hexagon: π· = 6 Γ side length π· = 6 Γ 4 = 24 feet Therefore, 24 feet of trim is needed to go around the table.
Problem 5
Find the perimeter of an irregular hexagon with sides 3 m, 5 m, 4 m, 6 m, 7 m, and 8 m.
33 meters
Explanation
Perimeter of the hexagon = sum of the lengths of all sides = 3 + 5 + 4 + 6 + 7 + 8 = 33 meters. The entire distance around the hexagon is 33 meters.
FAQs on Perimeter of Hexagon
1.Evaluate the hexagonβs perimeter if its sides are 2 cm, 3 cm, 4 cm, 5 cm, 6 cm, and 7 cm.
2.What is meant by a hexagonβs perimeter?
3.What are the types of hexagons?
4.Which hexagon has equal sides?
5.What is the perimeter of a regular hexagon with side length 'a'?
Important Glossaries for Perimeter of Hexagon
Perimeter: The total length of the sides of a shape. Hexagon: A polygon with six sides and six angles. Regular Hexagon: A hexagon with all sides and angles equal. Irregular Hexagon: A hexagon with sides and angles that are not all equal. Formula of Perimeter: The mathematical expression used to calculate the perimeter of a hexagon is π· = πβ + πβ + πβ + πβ + πβ + πβ.
Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
