🚀 go-pugleaf

In article <5hnv2g$95s@opus.vcn.bc.ca>, Scott Phung <landmark@vcn.bc.ca>
writes
>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?
>
>
Consider a quadrilateral formed by four points that are very close
together on the circle's circumference.  It follows that the answer to
the above questions is 'no'.
-- 
Brian McCague