Perimeter of Regular Polygon given Circumradius and Area Calculator

Calculate Perimeter







Formula

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

\[ P = \frac{2 \cdot A}{\sqrt{r_c^2 - \frac{l_e^2}{4}}} \]

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 circumradius is the radius of a circumcircle touching each of the polygon's vertices. The edge length is the length of one of the sides of the polygon.

Example Calculation

Let's assume the following values:

Using the formula:

\[ P = \frac{2 \cdot 480}{\sqrt{13^2 - \frac{10^2}{4}}} \approx 80 \]

The Perimeter is approximately 80 Meters.

Conversion Chart

Area (Square Meters) Circumradius (Meters) Edge Length (Meters) Perimeter (Meters)
450 13 10 75.000000000000000
480 13 10 80.000000000000000
510 13 10 85.000000000000000