If the circles $x^2 + y^2 - 16x - 20y + 164 = r^2$ and $(x-4)^2 + (y-7)^2 = 36$ intersect at two distinct points, then:\\ (1) $r > 11$\\ (2) $0 < r < 1$\\ (3) $1 < r < 11$\\ (4) $r = 11$