104 LearnersLast updated on July 29th, 2025
Perimeter of Regular Pentagon
The perimeter of a shape is the total length of its boundary. The sum of all five equal sides is called the perimeter of a regular pentagon. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a regular pentagon.
What is the Perimeter of a Regular Pentagon?
The perimeter of a regular pentagon is the total length of its five equal sides. By adding the length of all five sides, we get the perimeter of the shape. The formula for the perimeter of a regular pentagon is π = 5 Γ π, where π is the length of one side of the pentagon. For instance, if a regular pentagon has a side length of π = 7, then its perimeter is π = 5 Γ 7 = 35.
Formula for Perimeter of Regular Pentagon - π = 5 Γ π.
Letβs consider another example of a regular pentagon with a side length of π = 9. So the perimeter of the pentagon will be: π = 5 Γ π = 5 Γ 9 = 45.
How to Calculate the Perimeter of a Regular Pentagon
To find the perimeter of a regular pentagon, we just need to apply the given formula and multiply the side length by 5. For instance, a given regular pentagon has a side length of π = 8. Perimeter = 5 Γ π = 5 Γ 8 = 40 cm. Example Problem on Perimeter of Regular Pentagon - For finding the perimeter of a regular pentagon, we use the formula, π = 5 Γ π. For example, letβs say π = 6 cm. Now, the perimeter = 5 Γ 6 = 30 cm. Therefore, the perimeter of the regular pentagon is 30 cm.
Tips and Tricks for Perimeter of Regular Pentagon
Learning some tips and tricks makes it easier for children to calculate the perimeter of regular pentagons. Here are some tips and tricks given below: Always remember that a regular pentagon's perimeter is simply 5 times the length of one side. For that, use the formula, π = 5 Γ π. Calculating the perimeter of a regular pentagon starts by determining the length of one side. All sides are equal in length. To reduce confusion, specifically arrange the indicated side lengths if you need the perimeter of a group of regular pentagons. After that, apply the formula to each pentagon. To avoid mistakes when adding the perimeter, make sure the side lengths are precise and constant 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 Regular Pentagon
Did you know that while working with the perimeter of a regular pentagon, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:
Mistake 1
Incorrectly applying the formula for triangles or other polygons to pentagons.
Remember that only regular pentagons use the formula π = 5 Γ π. Ensure you are using the correct formula for pentagons and not for other shapes.
Mistake 2
Students may confuse 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 pentagonβs sides, while the area, in square units, represents the space inside the pentagon.
Mistake 3
Assuming that every pentagon is regular, which results in inaccurate calculations.
Irregular pentagons have sides of differing lengths. Always be careful about the type of pentagon to ensure accurate calculations.
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 lengths for your pentagon.
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, try to draw a pentagon to accurately identify the side lengths.
Perimeter of Regular Pentagon Examples
Problem 1
A regular pentagon-shaped garden has a perimeter of 50 meters and each side is of equal length. Find the length of one side.
Length of one side = 10 meters.
Explanation
Let βπβ be the length of one side. And the given perimeter = 50 meters. Perimeter of regular pentagon = 5 Γ length of one side. 50 = 5 Γ π 50 Γ· 5 = π π = 10 Therefore, the length of one side is 10 meters.
Problem 2
A wire with a perimeter of 125 inches is reshaped into a regular pentagon. Find the length of each side of the pentagon.
25 inches
Explanation
Given that the perimeter of the wire is equal to the total perimeter of the pentagon, here is the solution: Perimeter of regular pentagon = 5 Γ π 125 = 5 Γ π 125 Γ· 5 = 25 π = 25 Therefore, the length of each side of the pentagon is 25 inches.
Problem 3
Find the perimeter of a regular pentagon whose sides are 12 cm.
60 cm
Explanation
Perimeter of regular pentagon = 5 Γ π π = 5 Γ 12 = 60 Therefore, the perimeter of the regular pentagon is 60 cm.
Problem 4
A regular pentagon-shaped field is being fenced. Each side of the pentagon is 18 meters. How much fencing is needed to go around the field?
90 meters
Explanation
The perimeter of a regular pentagon is 5 times the length of one side. Using the formula: π = 5 Γ π π = 5 Γ 18 = 90 meters.
Problem 5
Find the perimeter of a regular pentagon-shaped tile where each side measures 15 cm.
75 cm
Explanation
Each side of the regular pentagon is equal in length. The entire distance is calculated around the tile to be 75 cm by multiplying the length of one side by 5.
FAQs on Perimeter of Regular Pentagon
1.Evaluate the perimeter of a regular pentagon if its side is 7 cm.
2.What is meant by a regular pentagonβs perimeter?
3.What are the characteristics of a regular pentagon?
4.Which polygon has five sides?
5.What is the perimeter of a regular pentagon with side length 10 cm?
Important Glossaries for Perimeter of Regular Pentagon
Perimeter: The total length of the sides of a shape. Regular Pentagon: A polygon with five equal sides and five equal angles. Formula of perimeter: The mathematical expression used to calculate the perimeter of a regular pentagon is π = 5 Γ π. Side Length: The length of one side of the polygon. Symmetrical: Having balanced proportions in terms of shape and size.
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
