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On a square cardboard sheet of area 784 ...

On a square cardboard sheet of area `784 cm^(2)` , four congruent circular plates of maximum size are placed such that each circular plate touches the other two plates and each side of the square sheet is tangent to two circular plates. Find the area of the square not covered by the circular plates.

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The correct Answer is:
`1568 cm^(2)`
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