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.
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