Recall our construction:

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**.

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Neal Carothers - carother@bgnet.bgsu.edu