
That’s why you’ll find nasty realities of Pi based calculation. The tinier angle, the nastier.
Let’s go to r=1000 cm for 15Β° arc.
- Sine chord.
- Height.
- 15Β° arc length claimed by Pi.
- 15Β° arc length claimed by Phew.
- Difference between sine chord and Pi arc length π 0.747 cm.
- Difference between sine chord and Phew arc length π 3.245 cm.

Which one is logical?
So in a 261.05 cm Γ 8.55 cm rectangle, there is an arc. Pi claims 261.79 cm (2.618 m), Phew claims 264.29 cm (2.643 m).
Difference between arc length and the chord, say, after getting pressed to be a straight object, Pi claims π 0.74 cm or π 7.4 mm, while Phew claims π 3.24 cm.
If both differences are put at both chord edges, it will be π 0.37 cm or 3.7 mm each for Pi, and π 1.62 cm each for Phew.
Just imagine in your bedroom, does 3.7 MILIMETERS each (???) make sense for a rectangle with 2.61 METERS length, and 8.55 CENTIMETERS height??? It’s unbelievable!
======
If it comes to 5Β° angle under 100 meters radius, everything becomes clear that pi doesn’t work in real world. In this scale, Pi’s arc is almost identical with its chord!!!










