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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Apr 2007 15:56:38 IST
Accepted Answer [?]
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The largest rectangle should have one of the sides on the diameter. Let this side be x and the other side be y.
Draw a figure and you will find that :
r2 = (x/2)2 + y2
Now area is give by :
A2 = x2y2 = x2{r2 - (x/2)2}
Differentiate it wrt x and put dA/dx = 0 to find the maxima.
This will give x = r 2
Hence A2 = (r 2)2{r2 - (r2)2/22} = r4
Hence maximum area = r2
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Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur
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this reply: 10 points
(with 2 
in 2 votes ) [?]
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