Regular hexagon area calculator

What is a regular hexagon area calculator?

A regular hexagon area calculator returns the area enclosed by a six-sided polygon whose sides are all equal in length and whose interior angles are all equal (each measuring 120°). You enter the length of one side, and the calculator returns the area in the unit you choose.

Regular hexagons appear throughout nature and engineering — honeycombs, snowflakes, bolt heads, floor tiles, and chemical ring structures — so a quick way to compute the area from a single measurement is useful in many fields.

Key concepts

• Side length (s) — the length of any one edge of the hexagon. All six edges are equal.
• Area (A) — the amount of two-dimensional space enclosed by the hexagon.
• Equilateral triangle — a triangle with three equal sides. A regular hexagon can be split into six of these.
• Apothem — the perpendicular distance from the centre to the middle of a side. For a regular hexagon, the apothem equals $\frac{s\sqrt{3}}{2}$.

How does the calculator work?

A regular hexagon can be divided into six identical equilateral triangles by drawing lines from the centre to each vertex. The area of one equilateral triangle with side $s$ is:

Multiplying by six gives the area of the hexagon:

The calculator converts the side length to metres internally, applies the formula, and converts the result back to whichever area unit you select.

Formula

Worked examples

Example 1: side of 10 cm

A regular hexagon with a side length of 10 cm has area:

Example 2: side of 1 cm

For a unit hexagon (side 1 cm):

This is the constant multiplier that any other regular hexagon’s area scales from.

Example 3: side of 5 cm

A regular hexagon with a side of 5 cm has area:

Example 4: side of 2 m

Switching to metres, a hexagon with side 2 m has area:

Example 5: doubling the side

Doubling the side length quadruples the area, since area scales with the square of the side. A hexagon with side 20 cm has $A \approx 1039.230 \text{ cm}^2$, exactly four times the value from Example 1.

Practical uses

• Tiling and flooring — estimating how many hexagonal tiles cover a given surface, or how much material a hexagonal tile uses.
• Engineering — sizing hexagonal bolt heads, nuts, and wrench openings; the area informs material strength and clearance.
• Architecture and design — hexagonal patterns in pavers, screens, and trusses where coverage matters.
• Biology and chemistry — modelling honeycomb cells or ring structures where hexagonal geometry sets the scale.
• Game and map design — many tabletop and digital games use hexagonal grids; knowing the area of each cell helps with density and balance calculations.

Notes

• The side length must be positive — a side of 0 collapses the hexagon to a point and gives an area of 0.
• The unit of the result follows the unit of the side: a side in metres gives an area in square metres unless you change the output unit selector.
• This calculator assumes a regular hexagon (all sides and angles equal). Irregular hexagons require a different approach, such as splitting the shape into triangles and summing their areas.