Processing...

`A = n * r^2*tan(pi/n)`

Enter a value for all fields

The **Area of Polygon from Number of Sides and Inner Radius** calculator computes the area of a regular polygon of **n** sides circumscribed around a circle of radius **r**.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**n**) Number of Sides - (
**r**) Inner Radius. The radius of the circle inscribed inside the polygon

**Polygon Segment Area (A):** The calculator returns the area in square meters. However, this can be automatically converted to compatible units via the pull-down menu.

The formula for the area of a regular polygon based on the number of sides and the inner radius is:

`A = n * r^2*tan(pi/n)`

where:

- A = area of polygon
- n = number of sides
- r = inner radius

- Polygon Area from Number of Sides and Length of Sides
- Polygon Area from Number of Sides and Outer Radius
- Area of Polygon Segment from Number of Sides and Inner Radius
- Area of Polygon from Number of Sides and Inner Radius
- Length of the Sides of a Polygon based on the Outer Radius and Number of Sides
- Length of a Side of a Polygon from Inner Radius and Number of Sides
- Perimeter of a Polygon from Number of Sides and Length of Sides
- Polygon Perimeter from Outer Radius and Number of Sides
- Polygon Perimeter from Inner Radius and Number of Sides
- Polygon Perimeter from the Area and Number of Sides