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Find the rectangle of largest area that can be inscribed in a semicircle of radius r, assuming that one side of the rectangle lies on the diameter of the semicircle.

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The two below rectangle shows the inscribed rectangle and diameter that lies on the circle.
Find the rectangle of largest area that can be inscribed in a semicircle of radius-example-1
Find the rectangle of largest area that can be inscribed in a semicircle of radius-example-2
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