AHSME 1983 Problem 2

Point $P$ is outside circle $C$ on the plane. At most how many points on $C$ are $3$ cm from $P$? $\textbf{(A)} \ 1 \textbf{(B)} \ 2 \textbf{(C)} \ 3 \textbf{(D)} \ 4 \textbf{(E)} \ 8$