Explanation:

To find the radius, let's calculate the circumcenter of the triangle formed by the points (0, 0), (0, 3), and (2, 0). The circumcenter can be found as the intersection of the perpendicular bisectors of the sides of the triangle.

1. The midpoint of (0, 0) to (0, 3) is (0, 1.5). The perpendicular bisector is x = 1.

2. The midpoint of (0, 0) to (2, 0) is (1, 0). The perpendicular bisector is y = 1.5.

The circumcenter is at the intersection (1, 1.5). The distance from this point to (0, 0) (a vertex of the triangle) is:

sqrt{(1 - 0)^2 + (1.5 - 0)^2} = sqrt{1 + 2.25} = sqrt{3.25} = sqrt{13}/2

Answer: Option 4 - sqrt{13}/2