A square is inscribed in a circle of diameter 12 millimeters. What is the area of the shaded region? A square is inscribed in a circle with a diameter of 12√2 millimeters. Everything outside of the square is shaded. Recall that in a 45°-45°-90° triangle, if the legs each measure x units, then the hypotenuse measures x√2 units.

Options:
A) 72 mm²
B) 72√2 mm²
C) 288 mm²
D) 288√2 mm²