Cyclic Quadrilateral Problem

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#164

From: Scott Phung
Date: Mon, 31 Mar 1997 00:00

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Here's a math problem that's been on my mind:

  Suppose I have a circle with a radius r.  Then into it is
inscribed a cyclic quadrilateral.  Is the area of this cyclic
quadrilateral = 2r^2?  I know that if the cyclic quadrilateral
was a square, then the area of the square = 2r^2.

  More Generally, if a polygon is inscribed into a circle with
a radius r, would the area of the polygon inscribed = area of
regular polygon inscribed?

  Also, does the center of the circle lie on any of the two
diagonals of the cyclic quadrilateral?

  Can anyone confirm the any of above?


Thanks,
Scott Phung

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From: landmark@vcn.bc.ca (Scott Phung)
Subject: Cyclic Quadrilateral Problem
Date: 1997/03/31
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