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In a quadrant (of a circle) a circle of maximum possible area is given. If the radius of the circumscribing quadrant be r, then what is the area of the inscribed circle?

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Important Questions on Mensuration

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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 10 - SNAP>CMAT>Q 15
A cylindrical chocobar has its radius 'r' unit and height 'h' unit. If we wish to increase the volume by the same unit either by increasing its radius alone or its height alone, then how many units do we have to increase the radius or height?