The equation of the director circle of the hyperbola $\frac{x^2}{16} - \frac{y^2}{4} = 1$ is given by
- A$x^2 + y^2 = 16$
- B$x^2 + y^2 = 4$
- C$x^2 + y^2 = 20$
- D$x^2 + y^2 = 12$
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