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

—

Enter a value and click Calculate

Hexagon diagram

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

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Summary

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

How it works

Select whether you are entering the side length or the apothem (inradius).
Type the measurement value in the input field.
Choose the unit from the dropdown (mm, cm, m, in, ft).
Click "Calculate Area" to apply the correct formula.
The result is shown with up to 6 significant figures.
A step-by-step breakdown explains every arithmetic operation.

Use cases

Geometry homework and exam problems involving regular hexagons.
Architecture and design using hexagonal tiles or floor plans.
Engineering drawings with hexagonal bolt or nut cross-sections.
Game development requiring hex-grid cell area computation.
Beekeeping and honeycomb material estimation.
Land surveying with hexagonal plots.
Verifying manual hexagon area calculations quickly.
Teaching the regular polygon area formula in the classroom.

Frequently Asked Questions

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Last updated: 2026-05-23 · Reviewed by Nham Vu