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Rectangle in a circle (Posted on 2017-11-07) Difficulty: 2 of 5
What is the maximum perimeter
of a rectangle inscribed in
a half of a circle with radius R?

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts Note: Comment 3 of 3 |
I solved by both methods.  I'm still trying to come up with a solution not involving calculus since the category is Just Math.  (I'm assuming Shapes or Geometry might have been a better choice.)

An interesting note: the rectangle with maximum perimeter is a square.

This seems to run counter to fact that the rectangle with minimal perimeter is a square for a fixed area.

  Posted by Jer on 2017-11-07 14:27:27
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