Regular Hexagon Area Calculator
Calculate the area of a regular hexagon from its side length. Formula: Area = (3 x sqrt(3) / 2) x s^2. Instant results with explanation.
How to use this tool
- Enter side length (s) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your area and the full breakdown beneath it.
Formula
Area = (3 x sqrt(3) / 2) x s^2
How it works
A regular hexagon can be divided into six equilateral triangles. The area formula is (3 x sqrt(3) / 2) x s^2, where s is the side length.
Worked example
Regular hexagon with side 4 m
- Area = (3 x sqrt(3) / 2) x 4^2
- Area = (3 x 1.7321 / 2) x 16
- Area = 2.5981 x 16 = 41.5692 m^2
41.5692 m^2
Common mistakes to avoid
- Using the apothem (center to midpoint of a side) as the side length; the formula requires the side length s, not the apothem.
- Forgetting the coefficient 3*sqrt(3)/2 and entering just s^2 as the area.
- Applying this formula to an irregular hexagon; it is valid only when all six sides and interior angles are equal.
Key terms
- What is a regular hexagon?
- A six-sided polygon with all sides equal and all interior angles equal to 120 degrees.
Frequently asked questions
- How is the hexagon area formula derived?
- A regular hexagon divides into 6 equilateral triangles, each with area (sqrt(3)/4) x s^2. Six of them give (3 x sqrt(3)/2) x s^2.
- What is the apothem of a regular hexagon?
- The apothem (center to midpoint of a side) equals (sqrt(3)/2) x s.
- If I know the point-to-point diameter, how do I find s?
- The point-to-point diameter of a regular hexagon equals 2s, so s = diameter / 2.