Choose the correct answer in the the area of the circle $x^2 + y^2 = 16$ exterior to the parabola $y^2 = 6x$ is $$\begin{array} (A) \frac{4}{3} (4\pi - \sqrt 3) \quad &(B) \frac{4}{3} (4\pi + \sqrt 3) \quad & (C) \frac{4}{3} (8\pi - \sqrt 3) \quad & (D) \frac{4}{3} (8\pi + \sqrt 3) \end{array}$$

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