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In a quadrant ( of a circle ) a circle o...

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 ?

A

`( 2+ 3 sqrt(2))r^2 `

B

`( pi r^(2))/(( 3+ 2 sqrt(2)))`

C

`((3 + 2sqrt(2))/(r^(2))) pi `

D

none of these

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The correct Answer is:
B
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