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Regular Polygon Area — result sheet
Area of a regular n-gon from side count and side length.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: A = n x s^2 / (4 x tan(pi/n)).
Split the n-gon into triangles from the center; the tangent term encodes the apothem. More sides approach the circumscribed circle.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Number of sides — Whole number, at least 3.; minimum 3; maximum 1000000
- Side length — minimum 1.0E-12; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Number of sides | 6 |
| Side length | 4 |
41.569 square units.
Assumptions and limits
- Regular polygon: equal sides and angles; n is a whole number >= 3.
- Positive side length in consistent units.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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