# Hexagon Calculator

Make calculations in a regular hexagon (6 vertices). Enter one value and, when needed, change the number of decimal places. Then click Calculate.

**Formulas:**

p = 6 * a

A = 3 / 2 a² * √3

r

_{i}= a / 2 * √3

d

_{2}= a * √3

Long diagonal d = 2 * a

Height = 2 * r

_{i}

Excircle radius = a

Angle: 120°

9 diagonals

Edge length, diagonals, perimeter and radius have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).

The short diagonal is the line between two vertices, which have a third vertex between them. Its length equals that of the height. The long diagonal is the line between two opposite vertices. Long diagonals and bisecting lines coincide, they intersect with the median lines and with centroid, excircle and incircle center in one point. To this, the regular hexagon is point symmetric and rotationally symmetric at a rotation of 60° or multiples of this. Furthermore, the regular hexagon is axially symmetric to the long diagonals and to the median lines.

perimeter p, area A |
sides and angles have the same size |

short diagonals, these form a hexagram |
long diagonals, those form six equilateral triangles with edge length a |
incircle and excircle |

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