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Hexagon Calculator

Compute area, perimeter, apothem and interior angle of a regular hexagon.

About Hexagon Calculator

A regular hexagon has 6 equal sides. Each interior angle is 120°. The area formula is ½ × perimeter × apothem, or equivalently (3√3/2)s².

Formulas

Area

A = (3√3/2) × s²

s
Side length

Apothem

a = s × √3/2

s
Side length

Worked example

With the default values below, Hexagon Calculator returns Area of 93.5307. Change any input above and every figure here is recalculated in your browser.

Inputs used

Side Lengthminimum 0 units
6 units

Results

Area
93.5307 sq units
Perimeter
36.0000 units
Apothem
5.1962 units
Interior Angle
120.00 °

Step by step

  1. 1Interior angle= 120°
  2. 2Apothem= 5.1962
  3. 3Area= 93.5307

Assumptions and limits

  • The result is derived only from the single input listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Why are hexagons common in nature?

Hexagons tile a plane with no gaps and minimize perimeter for a given area (honeycombs, basalt columns).

What is the relationship between apothem and side for a hexagon?

The apothem equals (s√3)/2, and the circumradius equals the side length.

Hexagon Calculator – Calculate Area & Perimeter | Calcrivo