Regular Polygon Calculator

Calculate area, perimeter, interior angle, apothem, and circumradius for any regular polygon.

Number of Sides (n) *

sides

Minimum 3 sides

Side Length (s) *

units

Output Unit

Decimal Precision

Show Calculation Steps

Polygon Type

⚠️

Regular Polygon Properties

Area

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Perimeter

—

Interior Angle

—

Apothem

—

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Polygon Visualization

Graphical representation of your polygon

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Calculation Breakdown

Step-by-step polygon calculations

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Area

—

A = ½n s² cot(π/n)

📏

Perimeter

—

P = n × s

📐

Interior Angle

—

α = (n-2)×180°/n

⭕

Circumradius

—

R = s/(2 sin(π/n))

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Polygon Formulas

All related regular polygon calculations

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Polygon Geometry Tips

Understanding regular polygons

⬡ Mathematical Disclaimer: This regular polygon calculator uses standard geometric formulas. Results are for educational purposes. Ensure consistent units. A regular polygon has all sides and angles equal.