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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 Math / Science
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 Calculators
- 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
