Hi,
Your suggestion of 0.55228475 is what I understand to give the
*maximum* error for cubic bezier approximation of circular arcs. The
minimum error (again as I understand it - I am not a maths or a CAD
person) is actually provided by 0.55191496.
However, having just looked at \pgfpathellipse I see that the "magic
number" used is actually 0.555, which is neither of these two. I don't
why this number was chosen, but there may have been a good reason.
I suggest submitting this either as a bug or a feature request.
In the mean time replacing 0.555 in \pgfpathellipse with numbers of
your choice may provide preferable results (and will effect all paths
such as circle and ellipse in TikZ). \pgfpathellipse is defined in
\pgfcorepathconstruct.code.tex
Regards
Mark
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