It’s good to take r = 10000 cm AKA 100 m.
Then we’ll get:
Neck AKA 1 – cos(1:2) = 0.38 cm
Sin inner limit = 174.530 cm
Tan outer limit = 174.537 cm
Pi’s arc = 174.532 cm
Difference of 1° pi’s arc and inner limit = 174.532 cm – 174.530 cm = (((( 0.002 cm ))))
That number equals (((( 0.02 mm ))))
Phew = 176.19 cm
Phew difference = 176.19 cm – 174.53 cm = 1.66 cm
Conclusion:
Pi’s arc resembles the inner limit base line. It’s impossible coz the arc is not supposed to equal the inner base line. There should be some curve on the inner base line. There is still a space of 0.38 cm which allows the arc length to go after the outer limit which has also resembled the inner limit with the ‘invisible’ difference i.e. 0.002 cm or 1/5 mm.
For the base line of 174.53 cm, the difference of 1/5 mm
is nothing, and impossible to lift the neck as far as 0.38 cm.
Poll