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.
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 .
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.
Related polygon topics
Types of polygon
Area of various polygon types
Perimeter of various polygon types
Angles associated with polygons
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