HesapHanem

Regular Hexagon Area Calculator

Find the area of a regular hexagon.

How it is calculated

For a regular hexagon, with six equal sides and equal angles, the area is A = (3√3 / 2) × s² and the perimeter is P = 6 × s, where s is the side length. The factor 3√3 / 2 is about 2.598, because a regular hexagon splits into six equilateral triangles, each with area (√3 / 4) × s².

The side can be in any unit; the result is labelled 'units' and 'units²', so read it as the same unit you entered (centimetres give cm², metres give m²). Results are rounded to two decimals, and the side must be greater than zero. The tool needs a regular hexagon: an irregular six-sided shape cannot be measured from one side.

Worked example

A regular hexagon with side 5. Square the side: 5² = 25. Multiply by 3√3 / 2, about 2.598: 25 × 2.598 = 64.95 units². Perimeter: 6 × 5 = 30.00 units. Doubling the side to 10 would give 259.81 units², four times the area but only twice the perimeter.

Try this example →

Common mistakes

  • Entering the distance between two opposite flat sides (the width across flats) as the side. The side is one edge, and the across-flats distance is about 1.732 times larger.
  • Entering the corner-to-corner distance. In a regular hexagon that is exactly twice the side, so halve it first.
  • Using a hexagon that is not regular, such as a stretched one. Equal sides are required.
  • Mixing the unit labels. The output says 'units' even when you measured in centimetres or metres; the area is in that unit squared.
  • Doubling the side and expecting double the area. Area grows with the square of the side.

About this calculator

This calculator finds the area of a regular hexagon using A = (3√3/2)·s², a formula derived by splitting the hexagon into 6 equilateral triangles radiating from its center — since each triangle has area (√3/4)·s², multiplying by 6 gives the coefficient 3√3/2. Perimeter is simply 6 times the side length.

Geometry students verifying homework, engineers and architects designing hexagonal tiles, honeycomb structures, or paving patterns, and hobbyists working on quilting, woodworking, or board-game design (hex-grid maps) use this.

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Comments (1)

  • Editorial team

    This tool describes one regular hexagon. If you are paving or tiling with hexagons, they fit together without gaps, but the edges of the area will need cut pieces, so allow some extra beyond total area divided by one hexagon's area. The perimeter shown is for a single hexagon, not for the whole pattern. Would you rather enter the across-flats width or the corner-to-corner width instead of the side? Tell us which one you usually measure.

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