Polygon Area Calculator
Calculate the area of a regular polygon from its number of sides and side length. This page also shows perimeter, apothem, and interior angle.
Formula:
Area = n × s² / (4 × tan(π / n))
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Privacy: calculations run locally in your browser. No inputs are stored or transmitted.
How it works
This calculator works for regular polygons, meaning every side and every interior angle is equal. It uses the standard trigonometric area formula based on the number of sides and side length.
It also reports:
Perimeter = n × s
Apothem = s / (2 × tan(π / n))
Interior angle = ((n − 2) × 180) / n
Examples
- n = 3, s = 10 → regular triangle area
- n = 4, s = 10 → square area = 100
- n = 6, s = 10 → regular hexagon area
FAQ
- What does this polygon area calculator compute?
It calculates the area of a regular polygon using the number of sides and the side length.
- What is the formula used?
This page uses Area = n × s² / (4 × tan(π / n)), where n is the number of sides and s is the side length.
- What is a regular polygon?
A regular polygon has all sides equal and all interior angles equal.
- Why must the number of sides be at least 3?
Because a polygon needs at least 3 sides to form a closed geometric shape.
- Are calculations stored?
No. Everything runs locally in your browser.