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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, Quadrilateral, Rectangle, Rhombus, Parallelogram, Kite, Right Trapezoid, Isosceles Trapezoid, Trapezoid, Cyclic Quadrilateral, Tangential Quadrilateral, Arrowhead, Antiparallelogram, House-Shape, Concave Pentagon, Parallelogon, Threestar, Fourstar, Pentagram, Hexagram, Oktagram, Star of Lakshmi

Round Forms:
Circle, Semicircle, Circular Sector, Circular Segment, Circular Layer, Round Corner, Annulus, Annulus Sector, Ellipse, Elliptical Segment, Stadium, Digon, Spherical Triangle, Reuleaux Triangle, Cycloid, Astroid, Hypocycloid, Cardioid, Parabolic Segment, Arbelos, Salinon, Lune, Oval, Three Circles, Lemniscate, Squircle
3D Platonic Solids:
Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron

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

Catalan Solids:
Triakis Tetrahedron, Rhombic Dodecahedron, Tetrakis Hexahedron, Deltoidal Icositetrahedron, Rhombic Triacontahedron

Johnson Solids:
Pyramids, Cupolae, Rotunda, Elongated Pyramids, Snub Disphenoid

Other Polyhedrons:
Cuboid, Square Pillar, Square Pyramid, Regular Pyramid, Pyramid, Regular Frustum, Frustum, Bipyramid, Ramp, Right Wedge, Wedge, Rhombohedron, Parallelepiped, Prism, Oblique Prism, Antiprism, Trapezohedron, Disphenoid, Corner, General Tetrahedron, Half Cuboid, Truncated Rhombohedron, Stellated Octahedron, Small Stellated Dodecahedron, Great Stellated Dodecahedron

Round Forms:
Sphere, Hemisphere, Cylinder, Cut Cylinder, Oblique Cylinder, Generalized Cylinder, Cone, Truncated Cone, Oblique Circular Cone, Elliptic Cone, Spheroid, Ellipsoid, Spherical Sector, Spherical Cap, Spherical Segment, Spherical Wedge, Cylindrical Wedge, Cylindrical Sector, Cylindrical Segment, Spherical Shell, Cylindrical Shell, Spherical Ring, Torus, Arch, Reuleaux-Tetrahedron, Capsule, Lens, Barrel, Paraboloid, Hyperboloid, Oloid, Steinmetz Solids


Hexagon Calculator

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
Circumcircle 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, circumcircle 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 circumcircle
incircle and circumcircle



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