This is the essential Giuseppe Stagno formula

             The half-angle formula is sin(t/2)

S=2*sin(t/2)       Arc length=2^54*sin(t/2^54)=pi/2 at 90 degree.

at 90 degree the Arc length has 2^(54-1) = 2^53 sides

                         Therefore

The circle has (2^53)*4 = 2^55 Sides Thanks Giuseppe