In Figure, two circular flower beds have been shown on two sides of a square lawn ABCD of side 56m. If the centre of each circular flower bed is the point of intersection of the diagonals of the square lawn, find the sum of the areas of the lawns and the flower beds.

Explanation

Side of square `ABCD=56 m`


`AC=BD`(diagonals of a square are equal in lengths)


Diagonal of square `(AC) =sqrt(2)xxbb"side square"`

`AC= sqrt(2)xx56=56sqrt(2)`

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`OA=OB=1/2 AC=1/2 (56sqrt(2))=28sqrt(2)`

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