Perimeter Of Polygon Calculator

Last updated: 04 Jun 2026 | Author: Brij | Review By: Irshad

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Easily calculate the perimeter of any regular polygon by simply entering the number of sides and the side length. The Polygon calculator helps in various fields like construction, engineering, and design.

Perimeter Of Polygon

Number of sides:

Side (a):

Perimeter (P):

Perimeter of a polygon formula

The formula for calculating the perimeter of a regular polygon (a polygon with all sides and angles equal) is:

$\text{Perimeter} = \text{Number of Sides} \times \text{ Side Length}$

Where:

Number of Sides (n): The total number of sides of the polygon.
Side Length (a): The length of one side of the polygon.

So, if you know the number of sides and the length of each side, you can multiply them to find the perimeter of the polygon.

How to find the perimeter of a polygon?

To find the perimeter of a polygon, follow these steps:

Identify the Number of Sides (n): Count the total number of sides in the polygon.
Measure the Length of Each Side (a): Determine the length of one side of the polygon. For regular polygons, all sides are equal.
Use the Perimeter Formula:

If the polygon is regular (all sides are equal), use the formula: $\text{Perimeter} = n \times a$
If the polygon is irregular (sides have different lengths), sum the lengths of all sides: Perimeter = a1+ a2 + a3 +…. Where a1,a2, .... an are the lengths of the sides.

Calculate the Perimeter: Multiply the number of sides by the side length for a regular polygon, or add up all side lengths for an irregular polygon. The result is the perimeter, which is the total distance around the polygon.

Here are 3-4 frequently asked questions about the perimeter of a polygon, designed to be clear and easy to understand:

Frequently Asked Questions: Perimeter of a Polygon

1. What is the perimeter of a polygon?

The perimeter of a polygon is the total distance around its outside edge. Imagine unfolding the boundary of a shape into a single straight line; the total length of that line is its perimeter. It is always measured in linear units, such as centimeters (cm), meters (m), or inches (in).

2. How do you find the perimeter of an irregular polygon?

To find the perimeter of an irregular polygon (a shape where the sides and angles are not all equal), you simply add the lengths of all its individual sides together.

Formula:

$\text{Perimeter} = s_1 + s_2 + s_3 + \dots + s_n$

(where s represents the length of each side)

For example, if a five-sided irregular polygon has side lengths of 4 cm, 5 cm, 7 cm, 4 cm, and 6 cm, its perimeter would be: 4 + 5 + 7 + 4 + 6 = 26 cm

3. Is there a shortcut to calculate the perimeter of a regular polygon?

Yes! Because a regular polygon has sides that are all exactly the same length, you don't need to add them one by one. You can find the perimeter simply by multiplying the length of one side by the total number of sides.

Formula:

$\text{Perimeter} = n \times s$

(where n is the number of sides and s is the length of one side)

Equilateral Triangle (3 sides): $3 \times s$
Square (4 sides): $4 \times s$
Regular Hexagon (6 sides): $6 \times s$

4. What is the difference between the perimeter and the area of a polygon?

While both measurements describe a 2D shape, they measure completely different things:

Perimeter is the distance around the outside of the shape (like a fence around a yard). It is measured in standard units (cm,m,ft).
Area is the amount of space inside the shape (like the grass inside the yard). It is measured in square units ( $\text{cm}^2$ , $\text{m}^2$ , $\text{in}^2$ ).

Check out 2 Similar Calculators:

Perimeter Of Polygon Calculator

Area of a Polygon Calculator

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