Geometry construction using a compass and straightedge
How to construct a
given one side. The construction starts by finding the center of the hexagon, then drawing its
which is the circle that passes through each
The compass then steps around the circle marking off each side.
This construction is very similar to Constructing a hexagon inscribed in a circle,
except we are not given the circle, but one of the sides instead.
Steps 1-3 are there to draw this circle, and from then on the constructions are the same.
The center of the circle is found using the fact that the radius of a regular hexagon (distance from the center to a vertex)
is equal to the length of each side.
See Definition of a Hexagon.
The image below is the final drawing from the above animation.