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:

1. Identify the Number of Sides (n): Count the total number of sides in the polygon.

2. Measure the Length of Each Side (a): Determine the length of one side of the polygon. For regular polygons, all sides are equal.

3. 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.

4. 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.