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2D Regular Polygons:
Equilateral Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon, Hendecagon, Dodecagon, N-gon

Other Polygons:
Triangle, Right Triangle, Isosceles Triangle, IR Triangle, Rectangle, Rhombus, Parallelogram, Kite, Isosceles Trapezoid, Trapezoid, Cyclic Quadrilateral, Tangential Quadrilateral, Arrowhead, Concave Pentagon, Pentagram, Hexagram

Round Forms:
Circle, Semicircle, Circular Sector, Circular Segment, Annulus, Ellipse, Stadium, Digon, Spherical Triangle, Reuleaux Triangle, Astroid, Cardioid, Parabolic Segment, Arbelos, Lune
3D Platonic Solids:
Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron

Archimedean Solids:
Truncated Tetrahedron, Cuboctahedron, Truncated Cube, Truncated Octahedron, Rhombicuboctahedron, Truncated Dodecahedron, Truncated Icosahedron

Other Polyhedrons:
Cuboid, Square Pyramid, Pyramid, Frustum, Bipyramid, Right Wedge, Wedge, Rhombohedron, Parallelepiped, Prism, Antiprism, Disphenoid, Truncated Rhombohedron, Small Stellated Dodecahedron

Round Forms:
Sphere, Hemisphere, Cylinder, Cut Cylinder, Oblique Cylinder, Cone, Truncated Cone, Ellipsoid, Spherical Sector, Spherical Cap, Spherical Wedge, Cylindrical Sector, Cylindrical Segment, Torus, Spherical Ring, Capsule, Lens, Paraboloid, Oloid


Hexagon Calculator

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

Euclid Edge length (a): Regular hexagon
Perimeter (p):
Area (A):
Incircle radius (ri):
Short diagonal (d2):
Round to    decimal places.

p = 6 * a
A = 3 / 2 a² * √3
ri = a / 2 * √3
d2 = a * √3
Long diagonal d = 2 * a
Height = d2 = 2 * ri
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.

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

Hexagon, short diagonals
short diagonals, these form a hexagram
Hexagon, long diagonals
long diagonals, those form six
equilateral triangles with edge length a

Hexagon, incircle and excircle
incircle and excircle


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