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Regular Hexagon Calculator — result sheet
Calculate the perimeter, apothem, circumradius, area, and interior angle of a regular hexagon from its side length.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P = 6s; a = s/(2 tan(π/6)) = √3s/2; R = s; A = ½aP = 3√3s²/2; each interior angle = 120°.
A regular hexagon can be divided into six congruent equilateral triangles, so its circumradius equals its side length. The page also reports the apothem and the polygon area rather than treating the hexagon as a circle.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Equal side length — length units; minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Equal side length | 4 |
A regular hexagon with 4 length units per side has perimeter 24, apothem about 3.4641, circumradius 4, and area about 41.5692 square units.
Assumptions and limits
- The hexagon is regular: all six sides and all six interior angles are equal.
- The entered side length is positive and all outputs use the same length unit.
- The area is the flat two-dimensional area enclosed by the hexagon.
- This tool does not estimate material, cutting allowance, construction tolerance, or an irregular six-sided outline.
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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