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The diameter of the circle is equal to this diagonal, \(5\sqrt{2}\) cm. Since the circle is inscribed in a larger square, the side of the larger square is equal to the diameter of the circle. Thus, the side length of the larger square is \(5\sqrt{2}\) cm.
The area \(A\) of the larger square is:
A = (5\sqrt{2})^2 = 25 \times 2 = 50 \text{ square cm}

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