Statements I and II basically give you the same information:

The area of all four circles is 256π: 4π\(r^{2}\)= 256π -> \(r^{2}\) = 64 -> r = 8

The distance X from the center of the imaginary bigger circle to the center of any smaller circle can be calculated using the Pythagorean theorem:

\(16^{2}\) = \(x^{2}\) + \(x^{2}\) -> 2\(x^{2}\) = 256 -> \(x^{2}\) = 128

The circumference of the larger circle therefore is:

2π*(x + r) -> 2π (8\(\sqrt{2}\) + 8) -> 16\(\sqrt{2}\)π + 16

Therefore, the correct answer is D.

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