  Paul Erdos asked if, among sufficiently many points in general position,
there are always $k$ points such that all the circles through $3$ of these $k$
points have different radii. He later proved that this is indeed the case.
However, he overlooked a non-trivial case in his proof. In this note we deal
with this case using B\'ezout's Theorem on the number of intersection points of
two curves and obtain a polynomial bound for the needed number of points.
