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Find the dimensions of the largest rectangle that can be inscribed in the semicircle y...
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High School Teacher
Let ABCD is rectangle inscribed in circle in such a way that side CD is along diameter of the circle.Let O be the centre of the circle and bisect side CD. Join O to B and further let `angle OBC=theta`
In triangle OBC, OB=radius of the semicircle=2
Area A of the rectangle ABCD= BC x CD
A = `2cos(theta)xx(2 xx2sin(theta))`
for max / min
`` Thus `theta=pi/4` ,will give maxmum area.
Thus dimension of rectangle
Posted by aruv on July 7, 2013 at 4:09 AM (Answer #1)
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