in the figure given below, two circle, one inscribed and the other circumscribed are drawn to a square PQRS of a side a units. find the (i)area of shaded region ?
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Let the radius of the outer circle be r.
∴ perimeter of outer circle = 2πr
But OQ=BC=r [diagonals of the square BQCO]
∴ Perimeter of Square ABCD =4r
Hence, required ratio =4r2πr=2π
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