The Symmetry of Pi and the Squared Circle

In the following interactive diagram, please use the following versions of 4/π.

a) 1.2732395447351626861510701069801 (calculator Pi)
b) 1.2712753453503583545403454617905 (rootwo Pi)
c) 1.2720196495140689642524224617375 (golden Pi)

As you will see, only one value has perfect symmetry.

Pi Symmetry
4/π = zoom = x = y =

This interactive mathematical diagram shows the sin cos relationship, each angle gives us a different triangle, and each triangle has a corresponding square.