And furthermore!
If you take his diagram and repeat it you end up with a square containing the largest circle that it is possible to fit within that square. Even a cursory naked eye examination will reveal that the perimeter of the square is obviously greater than the perimeter of the circle. But that's not very scientific, so, for those who, like myself, last studied maths in high school in the year nineteen quifty quar (apologies for the Goon Show reference, but it kinda seems appropriate here
), we once more take the piece of string and run it around the perimeter of the square and then around that of the circle and, guess what, the perimeter of the square is greater than that of the circle.
Since the perimeter of the square does actually equal 8x radius of the circle, and since I as a non recent student of high school maths have very simply shown 8 x r > circumference of the circle, it would seem that Mr Mathis' equations are incorrect. And that proven without the use of elegant mathematical formulae that someone like Mr Mathis can use to confound people into believing his new maths.
Cheers
Stuart