The area of a regular hexagon is the space enclosed by its six equal sides. Regular hexagons appear in nature (honeycombs), in tile design, and in strategy board games, because the hexagon is the regular polygon that tiles a flat surface with no gaps.

The Formula

A = (6 × t²) / (4 × tan(π/6))

• A — area of the hexagon (cm², m², etc.)
• 6 — number of sides
• t — side length
• tan(π/6) — tangent of 30°, equal to tan(30°) ≈ 0.57735

The formula comes from dividing the hexagon into six equal isosceles triangles from its center and adding their areas together.

Step-by-Step Example