Hexagon Area Calculator
The area and perimeter of a regular hexagon from its side length.
Result
Area
64.95
Perimeter
30.00
How it works
A regular hexagon has six equal sides and six equal angles of 120°. Its area is (3√3 / 2) × side², and its perimeter simply six times the side. With a side of 10, the area is about 259.8 and the perimeter 60. The formula comes from a neat property: a regular hexagon splits into exactly six identical equilateral triangles meeting at the centre. Multiply one equilateral triangle's area (√3/4 × side²) by six and you get the coefficient 3√3/2. That structure is why the hexagon rules nature and engineering. It tiles a plane with no gaps while enclosing the most area for the least perimeter of any such tiling — minimum wall for maximum room. Bees exploit it to save wax, and it reappears in floor tiles, bolt heads, graphene and carbon-fibre webs.
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Frequently asked questions
What is a regular hexagon?
A six-sided shape with all sides and angles equal — like a honeycomb cell.
How is the area derived?
By splitting it into six equilateral triangles, giving the (3√3/2) factor.
How do I find the apothem?
The apothem — the distance from the centre to the middle of a side — is (√3/2) × side, about 0.866 × side. It is the "radius" you need for the inscribed circle or for a wrench opening.
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