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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+3sqrt2)r^2`

B

`(pir^2)/(3+2sqrt2)`

C

`((3+2sqrt2)/r^2) pi`

D

none of these

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The correct Answer is:
B
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