Area of Regular Polygon Calculator

Calculate Area





Formula

The formula to calculate the Area of Regular Polygon is:

\[ A = \frac{le^2 \cdot NS}{4 \cdot \tan\left(\frac{\pi}{NS}\right)} \]

Definition

Area of Regular Polygon is the total region or space enclosed inside the polygon. Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon. Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.

Example Calculation

Let's assume the following values:

Using the formula:

\[ A = \frac{10^2 \cdot 8}{4 \cdot \tan\left(\frac{\pi}{8}\right)} = 482.842712474619 \]

The Area is 482.842712474619 Square Meters.

Conversion Chart

Edge Length (Meters) Number of Sides Area (Square Meters)
9 8 391.102597104441429
9.5 8 435.765548008343671
10 8 482.842712474619020
10.5 8 532.334090503267475
11 8 584.239682094289037