If one of the diameters of the circle \( x^{2}+y^{2}-10x+4y+13=0 \) is a chord of another circle \( C \), whose centre is the point of intersection of the lines \( 2x+3y=12 \) and \( 3x-2y=5 \), then the radius of the circle \( C \) is:
\( 6 \)
\( 3\sqrt{2} \)
\( \sqrt{20} \)
\( 4 \)
