# Error Spotted, actually errors spotted.

A couple of weeks ago I posted pictures of a letter that I received from one R.S.J. Reddy claiming that the exact value of of \$latex pi\$ was \$latex frac{14-sqrt{2}}{4}\$ which equals 3.1464466… and I asked all of you wonderful readers, and listeners, to help me find out where he went wrong.  Well, you all came through and what follows is a a general consesus of where the work of R.S.J. Reddy left the rails.

The letter itself contained 3 methods that Reddy used to derive his new value of \$latex pi\$, the Siva Method, the jesus Method, and the Hippocrates method, but before we tackle how those methods incorrectly derived the value of \$latex pi\$ I am going to mention a couple of general problems with this value.

General Mistakes

The first general mistake comes from Colin W.(@ColinTheMathmo on twitter where he sent this to me) who mentioned that the new value of \$latex pi\$ just happens to violate the work of Archimedes who proved long ago that the circle constant has to occur between \$latex 3 frac{10}{71}approx 3.14084dots\$ and \$latex 3 frac{1}{7}approx 3.14285dots\$. If that is not enough both Stephen M. and Steve W.(@swildstorm) chipped in with the problem that \$latex frac{14-sqrt{2}}{4}\$ happens to be an algebraic, not transcendental, violating Lindemann’s proof that \$latex pi\$ is not a root of a non-constant polynomial equation with rational coefficients as \$latex frac{14-sqrt{2}}{4}\$ is a root of the polynomial \$latex 2x^{2}-14x+frac{97}{4}=0\$.