If a circle $C$ passing through the point $( 4,0 )$ touches the circle $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y = 12$ externally at the point $( 1 , - 1 )$, then the radius of $C$ is:\\
(1) 4 units\\
(2) 5 units\\
(3) $2 \sqrt { 5 }$ units\\
(4) $\sqrt { 57 }$ units