A square is inscribed in a circle of diameter 12 millimeters. What is the area of the shaded region?

A scientist has four petri dishes of different sizes. Each dish contains a different number of bacteria.
Four circles, each with a radius of 2 inches, are removed from a square.
On a coordinate plane, parallelogram R S T U is shown. Point R is at (1, 1), point S is at (7, 0), point T is at (10, 4), and point U is at (4, 5).

On a coordinate plane, triangle A B C has points (1, 1), (4, 0), (3, 5).

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