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in Mathematics by (65.0k points)

In Fig. 12.15, two circular flower beds have been shown on two sides of a square lawn ABCD of side 56 m. If the centre of each circular flower bed is the point of intersection O of the diagonals of the square lawn, find the sum of the areas of the lawn and the flower beds.

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Area of the square lawn ABCD = 56 × 56 m2    ..........(1)

Let OA = OB = x metres

So, x2 + x2 = 562

or, 2x2 = 56 × 56

or, x2 = 28 × 56   ..........(2)

Alternative Solution :

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