Circle

Let \(A = \{ (x,y) \in R \times R|2{x^2} + 2{y^2} - 2x - 2y = 1\}\), \(B = \{ (x,y) \in R \times R|4{x^2} + 4{y^2} - 16y + 7 = 0\}\) and \(C = \{ (x,y) \in R \times R|{x^2} + {y^2} - 4x - 2y + 5 \le {r^2}\}\).

Then the minimum value of |r| such that \(A \cup B \subseteq C\) is equal to