What could prove this wrong? I'm having a dispute with friends

[PeroK]

What about using a microscope?

That raises the question, what does $\pi$ look like under a microscope?

 

[DaveC426913]

Is that what you saw of my post?

No. That's the 0.1% of the pixels in your post 84 I would have had to notice, in order to get the joke.

'Subtle' is an understatement. ;)

 

[Gavran]

That raises the question, what does π look like under a microscope?

It looks like a circle with a diameter of 1. The same can not be said for the figure in the original post.

 

[A.T.]

TL;DR Summary: Pi = 4?
I know it theoretically never touches the circle, but does the circle ever really become a circle?

This iterative approximation reduces the area-error in each step, but it doesn't reduce the perimeter-error at all. So, it can used to derive the area of the circle but not its circumference (and pi from it).

See also this video:

 

[wrobel]

Old thread but it dives up as a hot thread every time . I just want to say that there are several definitions of arc length. Math begins from definitions.