Maximum Rectangle Inscribed in a Circle

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The rectangle of largest area inscribed in a circle is a square. The length of the diagonal black segment equals the area of the rectangle. The red dot traces out the areas of the inscribed rectangles.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Maximum Rectangle Inscribed in a Circle"
http://demonstrations.wolfram.com/MaximumRectangleInscribedInACircle/
Wolfram Demonstrations Project
Published: March 7 2011