Answer:
Option C
Explanation:
Key Idea Orthocentre, centroid and circumcentre are collinear and centroid divide orthocentre and circumcentre in 2:1 ratio.
We have orthocentre and centroid of a triangle be A ( -3,5) and ( 3,3) respectively and C circumcentre

Clearly , AB=√(3+3)2+(3−5)2=√36+4=2√10
We know that, AB:BC=2:1
∴ BC= \sqrt{10}
Now,
AC=AB+BC=2\sqrt{10}+\sqrt{10}=3\sqrt{10}
Since, AC is a diameter of circle
\therefore r=\frac{AC}{2}
\Rightarrow r=\frac{3\sqrt{10}}{2}=3\sqrt{\frac{5}{2}}