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
When to use this tool
This tool is designed for quick, practical tasks such as everyday calculations, data formatting, or simple conversions. It is best used when you need fast results without installing software or using complex tools.
When to use
- Quick checks or one-time calculations
- Validating or converting data before using it elsewhere
- Simple tasks that do not require advanced software
When not to use
- Critical financial, legal, or medical decisions
- Large-scale or automated processing
- Situations requiring guaranteed precision beyond basic validation
Always review results before using them in important contexts.
About this tool
This tool helps you perform quick utility operations directly in your browser. It runs entirely in your browser without sending data to a server.
You can use this tool when handling simple tasks without installing additional software. The results should be interpreted as a processed output based on your input data.
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.