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Q.

Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq.m) of the flower bed, is:

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answer is 25.

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Detailed Solution

2r+rθ=20θ=20r−2S=12r2θ=10r−r2dsdr=0⇒r=5⇒S=10.5−52=25
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