Perimeter of Regular Polygon given Inradius and Area Calculator

Calculate Perimeter





Formula

The formula to calculate the Perimeter of a Regular Polygon is:

\[ P = \frac{2 \cdot A}{r_i} \]

Definition

The perimeter of a regular polygon is the total distance around the edge of the polygon. The area is the total region or space enclosed inside the polygon. The inradius is the line connecting the center of the polygon to the midpoint of one of its sides, and is also the radius of the incircle.

Example Calculation

Let's assume the following values:

Using the formula:

\[ P = \frac{2 \cdot 480}{12} = 80 \]

The Perimeter is 80 Meters.

Conversion Chart

Area (Square Meters) Inradius (Meters) Perimeter (Meters)
450 12 75.000000000000000
480 12 80.000000000000000
510 12 85.000000000000000