6. Determine the radius of the circle

Orthocentre and centroid of a triangle are \(A(-3, 5)\) and \(B(3, 3)\) respectively. If \(C\) is the circumcentre and \(AC\) is the diameter of this circle, then find the radius of the circle.

 

Radius of the circle \(=\) $i\sqrt{\frac{i}{i}}$ units