We have seen that 
= sin
and
=
tan.
Since we have used 
-gons,
it follows that 
= sin(
)
and 
=
tan().
In order to relate
and
to and
, we use two trig
identities:
and
In terms of the perimeters of our polygons, this means:
and
or
Notice that 
is the
harmonic mean of
and 
, while
is the
geometric mean of
and .
(Sound familiar?)
Finally, let's look at a simple example.
Neal Carothers - carother@bgnet.bgsu.edu