Respuesta :

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Since we know the side length of the square (6), we can calculate its diagonal using pythagoras.

diag d = √(6²+6²) = 6√2 in

The diagonal is also the diameter of the circle! So the radius of the circle is half of that:

radius r = d/2 = 3√2 in

The area of the circle is πr² = π(3√2)² = 18π in²