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 StartRoot 2 EndRoot 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 units.

(72π – 144) mm2
(72π – 72) mm2
(288π – 288) mm2
(288π – 144) mm2