Try 5° and r=25 m. The pi's cord and pi's arc relatively IDENTICAL.

Again, that is how limits work.

If they aren't getting closer and closer together, you are doing it wrong.

Pi works, your delusional BS does not.

The smaller angle, the more obvious that tangent base line grows bigger approaching phew. What do you think?

Wrong again. The smaller the angle, the more obvious that phew is BS, as it is too big.

But it's not logical if 2D & 3D have the same mechanism.

It isn't the same mechanism, it is math.

You can try it some time.

One thing that is for sure, is you need the same factor of pi for circumference and area, as well as the same for surface area of a sphere and volume of a sphere.