Calculate the area, perimeter, and apothem of a regular hexagon.
A regular hexagon has six equal sides and six equal angles. This calculator finds its area, perimeter, and apothem (the distance from the center to the midpoint of a side) from a single side length.
These formulas apply to a regular hexagon, where all six sides and interior angles (120° each) are equal.
A regular hexagon with side length 8 has an area of (3√3÷2)×8² ≈ 166.28 square units, a perimeter of 6×8 = 48 units, and an apothem of (√3÷2)×8 ≈ 6.93 units.
Area = (3√3/2) × side²; Perimeter = 6 × side; Apothem (center to edge midpoint) = (√3/2) × side.
All six sides and all six interior angles are equal — each interior angle in a regular hexagon measures 120°.
Hexagonal tiling (like in honeycombs) is the most space-efficient way to divide a surface into equal areas with the least total perimeter, which is why bees and engineers both favor the shape.