From Greek: hex "six" + gonia "angle"
Adjust the hexagon below by dragging any orange dot.
You can switch it between a
hexagon using the "regular" checkbox.
Because a hexagon has an even number of sides, in a
regular hexagon, opposite sides are
Properties of regular hexagons
Radius equals side length
In a regular hexagon, the radius equals the side length. That is, a line from the center to any vertex will have the same length as any side.
Because of this, a regular hexagon can be thought of as being made of six
Properties of all hexagons
|Number of diagonals
||The number of distinct diagonals possible from all vertices. (In general ½n(n–3) ).
In the figure above, click on "show diagonals" to see them.
See Diagonals of a Polygon
|Number of triangles
||The number of triangles created by drawing the diagonals from a given vertex. (In general n–2).
In the figure above, click on "show triangles" to see them. See Triangles of a Polygon
|Sum of interior angles
||In general 180(n–2) degrees .
See Interior Angles of a Polygon
The Nuts and Bolts of Hexagons
Most nuts and bolt heads are made in the shape of a hexagon. Because a hexagon has three pairs of parallel faces, a wrench can be placed
over any pair.
In a confined space, the wrench can be turned 60° (the exterior angle of a hexagon) and then the wrench
re-positioned on the next pair of sides. Doing this repeatedly will tighten the nut.
In this way, you do not need room to rotate the entire wrench a full circle.
While you are here..
... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone.
However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site?
When we reach the goal I will remove all advertising from the site.
It only takes a minute and any amount would be greatly appreciated.
Thank you for considering it! – John Page
Become a patron of the site at patreon.com/mathopenref
Other polygon topics
Types of polygon
Area of various polygon types
Perimeter of various polygon types
Angles associated with polygons
(C) 2011 Copyright Math Open Reference. All rights reserved