Regular Polygon Calculator
Find area, perimeter, apothem and interior angle from the number of sides and one side length of a regular polygon.
Formula
P=ns; A=ns²/[4 tan(π/n)]; apothem=s/[2 tan(π/n)]; interior angle=180°−360°/n.
Side length s: 5 cm · Area ≈ (6)×(5 cm × 0.01 m/cm)^2÷(4×tan(pi÷(6)))×10000 · Perimeter ≈ (6)×(5 cm × 0.01 m/cm)×100 · Apothem ≈ (5 cm × 0.01 m/cm)÷(2×tan(pi÷(6)))×100 · Interior angle ≈ 180-360÷(6)
How to use
- Enter an integer side count n of at least 3.
- Enter the common side length and select its unit.
- Read area in cm², lengths in cm and the angle in degrees.
Examples
- A regular hexagon with 2 cm sides has perimeter 12 cm and area ≈10.392305 cm².
Frequently asked questions
Which polygons are supported?
Regular polygons have equal sides and equal interior angles. Irregular polygons need more measurements.
How do I calculate a pentagon, hexagon or octagon?
Choose n=5, 6 or 8 respectively.
What is the apothem?
The perpendicular distance from the center to a side.
Sources
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