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Hexagon Area Calculator

Calculate the area of a regular hexagon with six sides of equal length. Includes the formula, a worked example, and honeycomb and bolt-head references.


Calculate area of hexagon

Formula

Regular hexagon:

textarea=frac3sqrt32timess2\\text{area} = \\\\frac{3\\\\sqrt{3}}{2} \\\\times s^2

Where s is the side length.

Approximation:

textareaapprox2.598timess2\\text{area} \\\\approx 2.598 \\\\times s^2

Worked example

Calculate the area of a regular hexagon with side length 8 cm:

textarea=frac3sqrt32times82=frac3times1.7322times64\\text{area} = \\\\frac{3\\\\sqrt{3}}{2} \\\\times 8^2 = \\\\frac{3 \\\\times 1.732}{2} \\\\times 64=2.598times64=166.28textcm2= 2.598 \\\\times 64 = 166.28 \\\\text{ cm}^2

Result: 166.28 cm²

How to use

  1. Enter the side length of the regular hexagon
  2. Click "Calculate" to see the area

Related formulas

  • Perimeter: 6timestextside6 \\\\times \\\\text{side}
  • Apothem: a=fracssqrt32a = \\\\frac{s\\\\sqrt{3}}{2}
  • Area with apothem: frac12timestextperimetertimestextapothem\\\\frac{1}{2} \\\\times \\\\text{perimeter} \\\\times \\\\text{apothem}

Common use cases

  • Beehive cells
  • Soccer ball patterns
  • Bolt and nut shapes
  • Tiling and architecture

FAQ

What if the hexagon is irregular? Divide it into triangles or trapezoids and sum their areas.

What is the sum of interior angles? 720° for any hexagon.

Can I calculate from the radius? Yes, for a regular hexagon the radius equals the side length.

How many diagonals does a hexagon have? 9 diagonals.

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