Adjust the heptagon below by dragging any orange dot. By clicking on the top left command line,
you can switch it between a
Properties of regular heptagons
Like any regular polygon, to find the interior angle we use the formula
(180n–360)/n . For a heptagon, n=7.
See Interior Angles of a Polygon
To find the exterior angle of a regular heptagon, we use the fact that the exterior angle
with the interior angle, so in general it is given by the formula
See Exterior Angles of a Polygon
Heptagons are not seen much in everyday life except in the UK, where there are coins in the shape of a heptagon.
On the right is the 50 pence coin. It is not a strict heptagon because the sides are actually curved arcs instead of straight lines.
The resulting shape is known as an "Equilateral Curve Heptagon".
It has one very curious property; in spite of not being a circle it has the same diameter everywhere!
This is done so that it will always fit
in coin-operated machines, but still feel different in the hand from
other round coins - a help to sight-impaired people.