What is the formula for the area of a regular hexagon?

The standard formula using side length s is A = (3√3 / 2) × s², which is approximately 2.598076 × s². Using the apothem (a), the formula is A = 2√3 × a², approximately 3.464102 × a².

What is the apothem of a hexagon?

The apothem is the perpendicular distance from the center to the midpoint of any side — also called the inradius. For a regular hexagon with side s, the apothem a = (√3 / 2) × s ≈ 0.866025 × s.

Does this calculator work for irregular hexagons?

No. This calculator is for regular hexagons only — six equal sides and six equal angles of 120°. For irregular hexagons, divide the shape into triangles and sum their areas.

What units does the result use?

The area is expressed in square units matching your chosen unit. For example, entering 5 cm gives an area in cm².

Why does a regular hexagon have such a clean area formula?

A regular hexagon can be divided into exactly six equilateral triangles, each with side s. The area of one equilateral triangle is (√3 / 4) × s², so multiplying by 6 gives (3√3 / 2) × s².

How do I find the side length from the area?

Rearrange the formula: s = √(2A / (3√3)) = √(A / 2.598076). Take the square root of the area divided by approximately 2.598076.

Area of a Hexagon Calculator

Name: Area of a Hexagon Calculator
Availability: InStock
Author: Nham Vu

Enter the side length (or apothem) of a regular hexagon to instantly calculate its area with the full formula and step-by-step working.

Hexagon Dimensions

Calculate from

Side length (s)

Unit

Formulas

A = (3√3 / 2) × s²

≈ 2.598076 × s² (from side)

A = 2√3 × a²

≈ 3.464102 × a² (from apothem)

Area

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Enter a value and click Calculate

Hexagon diagram

All sides equal (s), all interior angles 120°, apothem (a) shown

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Summary