take the right half of the half circle, the inscribed rectangle with max height is a square sqr2 by sqr2
then the full rectangle is 2sqr2 by sqr2 = area of 4
take the right half of the half circle, the inscribed rectangle with max height is a square sqr2 by sqr2
then the full rectangle is 2sqr2 by sqr2 = area of 4
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