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Regular Polygon Area Calculator — result sheet
Calculate the apothem, perimeter, and area of a regular polygon from its side count and side length.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Apothem=s/(2tan(π/n)); perimeter=ns; area=perimeter×apothem/2.
The apothem splits the regular polygon into equal triangles, which makes the perimeter-times-apothem formula transparent.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Number of sides n — minimum 3; maximum 1000000
- Side length — minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Number of sides n | 6 |
| Side length | 10 |
Apothem ≈8.6603; perimeter =60; area ≈259.808.
Assumptions and limits
- The polygon is regular, convex, and planar.
- Side length is positive and all sides share it.
- Construction tolerance and irregular polygons are not modeled.
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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