Area of Regular Polygon given Perimeter and Inradius Calculator

Calculate Area of Regular Polygon





Formula

The formula to calculate the Area of Regular Polygon (A) is:

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

Where:

Definition

The Area of Regular Polygon is the total region or space enclosed inside the polygon.

The Perimeter of Regular Polygon is the total distance around the edge of the Regular Polygon.

The Inradius of Regular Polygon is the line connecting the center of the polygon to the midpoint of one of the Regular Polygon's sides. The inradius is also the radius of the incircle.

How to calculate Area of Regular Polygon

Let's assume the following values:

Using the formula:

\[ A = \frac{80 \cdot 12}{2} \]

Evaluating:

\[ A \approx 480 \]

The Area of Regular Polygon is approximately 480 Square Meters.

Conversion Chart

Perimeter (P) (Meters) Inradius (ri) (Meters) Area (A) (Square Meters)
60 10 300.000000000000
60 12 360.000000000000
60 14 420.000000000000
80 10 400.000000000000
80 12 480.000000000000
80 14 560.000000000000
100 10 500.000000000000
100 12 600.000000000000
100 14 700.000000000000