Hexagon Calculator
Calculate area, perimeter, interior angle, and apothem of a regular hexagon from its side length.
How it works
- 1Enter the side length of the regular hexagon (all 6 sides are equal).
- 2The calculator applies area = (3√3 ÷ 2) · side² and multiplies side × 6 for the perimeter.
- 3The apothem — the perpendicular distance from the centre to a side — is side ÷ (2 · tan(π ÷ 6)).
Use cases
- Tiling and flooring projects that use hexagonal tiles, to determine material quantities.
- Architecture and structural design where hexagonal cross-sections appear in beams or columns.
- Geometry homework and exam preparation involving regular polygon properties.
Frequently asked questions
Why is the interior angle of a regular hexagon always 120°?
For any regular n-gon the interior angle equals (n − 2) × 180° ÷ n. With n = 6 that gives (4 × 180°) ÷ 6 = 120°.
What is the apothem of a hexagon?
The apothem is the shortest distance from the centre to the midpoint of any side. For a regular hexagon with side s it equals s√3 ÷ 2.
Where does the area formula (3√3 ÷ 2) · s² come from?
A regular hexagon splits into 6 equilateral triangles, each of area (√3 ÷ 4) · s². Multiplying by 6 gives (3√3 ÷ 2) · s².
Related tools
See all →Calculate the area and perimeter of a rectangle from its width and height, with a labeled diagram.
Calculate the area and circumference of a circle from its radius, with a labeled diagram.
Calculate the area (Heron’s formula) and perimeter of a triangle from its three sides.
Calculate the area and perimeter of a trapezoid from its two parallel sides, height, and legs.