107 LearnersLast updated on August 5th, 2025
Perimeter of Regular Hexagon
The perimeter of a shape is the total length of its boundary. In a regular hexagon, all six sides are of equal length, so the perimeter is simply six times the length of one side. The concept of perimeter is used in various applications such as fencing, sewing, and more. In this topic, we will learn about the perimeter of a regular hexagon.
What is the Perimeter of a Regular Hexagon?
The perimeter of a regular hexagon is the total length of its six equal sides. By multiplying the length of one side by six, we get the perimeter of the shape. The formula for the perimeter of a regular hexagon is 𝑃 = 6 × 𝑎, where 𝑎 is the length of one side of the hexagon. For instance, if a regular hexagon has sides, 𝑎 = 4 cm, then its perimeter is 𝑃 = 6 × 4 = 24 cm.
Formula for Perimeter of Regular Hexagon - 𝑃 = 6 × 𝑎
Let’s consider another example of a regular hexagon with a side length, 𝑎 = 5 cm. So the perimeter of the hexagon will be: 𝑃 = 6 × 𝑎 = 6 × 5 = 30 cm.
How to Calculate the Perimeter of a Regular Hexagon
To find the perimeter of a regular hexagon, we just need to apply the given formula and multiply the length of one side by six. For instance, if a given hexagon has a side length of 7 cm, the perimeter = 6 × 7 = 42 cm. Example Problem on Perimeter of Regular Hexagon - For finding the perimeter of a regular hexagon, we use the formula, 𝑃 = 6 × 𝑎. For example, let’s say, 𝑎 = 3 cm. Now, the perimeter = 6 × 3 = 18 cm. Therefore, the perimeter of the regular hexagon is 18 cm.
Tips and Tricks for Perimeter of Regular Hexagon
Learning some tips and tricks makes it easier for children to calculate the perimeter of regular hexagons. Here are some tips and tricks given below: Always remember that a regular hexagon's perimeter is six times the length of one side. For that, use the formula, 𝑃 = 6 × 𝑎. Calculating the perimeter of a regular hexagon is straightforward since all sides are equal. Just multiply the length of one side by six for the total perimeter. To avoid mistakes when calculating the perimeter, ensure that all sides are equal in length, especially in practical tasks like constructing or crafting. If you know the semi-perimeter, which is half the perimeter, you can multiply it by 2 to determine the full perimeter. This can be useful in different mathematical contexts.
Common Mistakes and How to Avoid Them in Perimeter of Regular Hexagon
Did you know that while working with the perimeter of a regular hexagon, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:
Mistake 1
Incorrectly using the formula for a hexagon with unequal sides.
Remember that the perimeter formula 𝑃 = 6 × 𝑎 is only applicable to regular hexagons, where all sides are equal.
Mistake 2
Confusing the concepts of area and perimeter, leading to incorrect calculations.
It is important to note that the perimeter, calculated in linear units, is the total length of the hexagon’s sides, while the area, in square units, represents the space inside the hexagon.
Mistake 3
Assuming that a hexagon is always regular, which results in inaccurate calculations.
Not all hexagons are regular. Ensure the hexagon in question has equal sides before using the regular hexagon formula.
Mistake 4
Using the wrong values for the length of the sides, misreading a problem, or mislabeling the sides.
Double-check the problem and ensure that you're using the correct and consistent side lengths for your regular hexagon.
Mistake 5
Misunderstanding or misidentifying the side lengths that are given in a problem outline.
Before starting the calculations, make sure that you understand the problem and, if it's possible, verify the side lengths to ensure they are equal.
Perimeter of Regular Hexagon Examples
Problem 1
A garden has a regular hexagonal shape with each side measuring 12 meters. Calculate the total length of the fencing required around the garden.
The total length of the fencing required is 72 meters.
Explanation
Let ‘a’ be the length of one side of the hexagon. Perimeter of hexagon = 6 × a. Given that a = 12 meters, Perimeter = 6 × 12 = 72 meters. Therefore, the total length of the fencing required is 72 meters.
Problem 2
A large hexagonal table has each side measuring 8 feet. Determine the perimeter of the table.
48 feet
Explanation
Given that the table is a regular hexagon, the perimeter is calculated as: Perimeter of the hexagon = 6 × a where a = 8 feet. So, Perimeter = 6 × 8 = 48 feet. Therefore, the perimeter of the hexagonal table is 48 feet.
Problem 3
Find the perimeter of a regular hexagon whose sides are 15 cm.
90 cm
Explanation
Perimeter of hexagon = 6 × a P = 6 × 15 = 90 cm Therefore, the perimeter of the hexagon is 90 cm.
Problem 4
Emma wants to put a border around a hexagonal-shaped pond. Each side of the pond measures 10 meters. How much material will Emma need?
Emma will need 60 meters of material.
Explanation
The perimeter of a regular hexagon is the sum of all its six equal sides. Using the formula: P = 6 × a P = 6 × 10 = 60 meters.
Problem 5
Calculate the perimeter of a regular hexagon with each side measuring 9 inches.
54 inches
Explanation
Since each side of the regular hexagon is equal, multiply the side length by 6: Perimeter = 6 × a = 6 × 9 = 54 inches.
FAQs on Perimeter of Regular Hexagon
1.Evaluate the hexagon’s perimeter if each side is 7 cm.
2.What is meant by a hexagon’s perimeter?
3.What makes a hexagon regular?
4.How do you differentiate between a regular and irregular hexagon?
5.How does the perimeter of a hexagon affect its area?
Important Glossaries for Perimeter of Regular Hexagon
Perimeter: The total length of the sides of a shape. Regular Hexagon: A polygon with six equal sides and angles. Formula of perimeter: The mathematical expression used to calculate the perimeter of a regular hexagon is 𝑃 = 6 × 𝑎. Side Length: The length of one side of the shape, which is equal for all sides in a regular hexagon. Linear Units: The units used to measure the perimeter, such as meters, centimeters, or inches.
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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
