  The distribution of lattice points with relatively $r$-prime is related to
problems in the Number Theory such as the Extended Lindel\"{o}f Hypothesis and
the Gauss Circle Problem. It is known that Sittinger's result is improved on
the assumption of the Extended Lindel\"{o}f Hypothesis. In this paper, we
improve Sittinger's result without assuming the Extended Lindel\"{o}f
hypothesis.
