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Polygon Calculator

Use our free regular polygon calculator to compute the area and perimeter of any regular polygon. Enter the number of sides and side length.

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Number of Sides (n)

Side Length (s)

Formula

A regular polygon is a polygon with all sides equal and all angles equal. This calculator works for any regular polygon with 3 or more sides.

A = (n × s²) / (4 × tan(π/n)), P = n × s

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter the number of sides (n).
2Enter the side length (s).
3Click Calculate to find the area and perimeter.
4Perimeter = n × side length.
5Area = (n × s²) / (4 × tan(π/n)).

Examples

Regular pentagon (n=5) with side 6

1.Enter sides=5, side=6.
2.P = 5 × 6 = 30 units.
3.A = (5 × 36) / (4 × tan(π/5)) ≈ 61.9372 units².

Result: Area: 61.9372, Perimeter: 30.0000

Regular hexagon (n=6) with side 4

1.Enter sides=6, side=4.
2.P = 6 × 4 = 24 units.
3.A = (6 × 16) / (4 × tan(π/6)) ≈ 41.5692 units².

Result: Area: 41.5692, Perimeter: 24.0000

Frequently Asked Questions

A regular polygon has all sides equal and all angles equal. Examples include equilateral triangles, squares, and regular pentagons.

P = n × s, where n is the number of sides and s is the side length.

A = (n × s²) / (4 × tan(π/n)). This uses trigonometry to compute the apothem and area.

A polygon must have at least 3 sides (triangle).

As n increases, the polygon approaches a circle. For n=100, the area is close to that of a circle with the same perimeter.

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Pentagon Calculator Hexagon Calculator Octagon Calculator Circle Calculator Percentage Calculator Basic Calculator

CalculateMe Team

Last updated: 2026-07-13

Regular Polygon Calculator - Area and Perimeter | CalculateMe | CalculateMe