Last updated on July 29th, 2025
The perimeter of a shape is the total length of its boundary. For a regular polygon, the perimeter is the sum of the lengths of all its equal sides. Perimeter is used in various applications such as fencing, sewing, and more. In this topic, we will learn about the perimeter of a regular polygon.
The perimeter of a regular polygon is the total length of all its sides. Since all sides of a regular polygon are equal, the perimeter can be calculated by multiplying the length of one side by the total number of sides. The formula for the perimeter of a regular polygon is π = π Γ π , where n is the number of sides, and s is the length of each side. For instance, if a regular hexagon has a side length of 6, with 6 sides, then its perimeter is π = 6 Γ 6 = 36.
Letβs consider another example of a regular octagon with side length 8. So the perimeter of the octagon will be: π = π Γ π = 8 Γ 8 = 64.
To find the perimeter of a regular polygon, use the formula and multiply the length of one side by the number of sides. For instance, a given regular pentagon has a side length of 5. Perimeter = number of sides Γ length of one side = 5 Γ 5 = 25 cm. Example Problem on Perimeter of Regular Polygon - To find the perimeter of a regular polygon, use the formula π = π Γ π . For example, letβs say a regular decagon has a side length of 4 cm. Now, the perimeter = 10 Γ 4 = 40 cm. Therefore, the perimeter of the decagon is 40 cm.
Here are some tips and tricks to easily calculate the perimeter of regular polygons: Always remember that a regular polygon's perimeter is simply the number of sides times the length of one side. Use the formula π = π Γ π . When given the side length and the number of sides, directly apply the formula to get the perimeter. For calculations involving regular polygons, ensure the side lengths are precise, especially in practical applications like architecture. If the semi-perimeter (half the perimeter) is given, multiply it by 2 to find the full perimeter. This concept is useful for various geometrical calculations.
While calculating the perimeter of a regular polygon, some errors or difficulties may arise. Here are solutions to avoid these problems:
A regular hexagonal tile has a side length of 12 inches. Calculate the perimeter of the tile.
72 inches
Given side length = 12 inches, and the hexagon has 6 sides. Perimeter of hexagon = number of sides Γ side length = 6 Γ 12 = 72 inches.
A gardener is designing a regular pentagonal flower bed with each side measuring 5 feet. Find the perimeter of the flower bed.
25 feet
Given side length = 5 feet, and the pentagon has 5 sides. Perimeter of pentagon = number of sides Γ side length = 5 Γ 5 = 25 feet.
A regular octagonal stop sign has a side length of 10 cm. What is the perimeter of the stop sign?
80 cm
Perimeter of octagon = number of sides Γ side length = 8 Γ 10 = 80 cm.
A regular heptagonal garden has each side measuring 7 meters. How much fencing is required to enclose the garden?
49 meters
The perimeter of a heptagon is the sum of all its sides. Using the formula: π = π Γ π = 7 Γ 7 = 49 meters.
Calculate the perimeter of a regular dodecagon with each side measuring 3 inches.
36 inches
Each side of the dodecagon is equal. The perimeter is calculated by summing the lengths of the 12 sides. π = 12 Γ 3 = 36 inches.
Perimeter: The total length of the sides of a shape. Regular Polygon: A polygon with all sides and angles equal. Formula of Perimeter: The mathematical expression used to calculate the perimeter of a regular polygon is π = π Γ π . Side Length: The length of one side of a polygon. Number of Sides: The total count of sides in a polygon.
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.
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