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Maximum Rectangle Inscribed in a Circle

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.

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"Maximum Rectangle Inscribed in a Circle" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/MaximumRectangleInscribedInACircle/
Contributed by: Michael Schreiber
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Related Curriculum Standards

Common Core State Standards for Mathematics
 
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