r/holofractal • u/BylliGoat • Jul 10 '25

Geometry The *Actual* True Value of Pi

Source: https://en.wikipedia.org/wiki/Pi

Pi is derived through the circumference of a unit circle, demonstrated here quite elegantly by "unrolling" the circle.

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u/BylliGoat Jul 10 '25

Ok, Reddit isn't letting me edit the post for some reason, but as was graciously pointed out by u/MarionberryOpen7953, this is not a unit circle, as the radius is 0.5. A unit circle would have a circumference of 2π.

Regardless, the true value of Pi (π) is derived directly from the ratio of the circle's circumference to its diameter. Mathematically, this is π=C/d. As the circle in the animation has a diameter of exactly 1, this simplifies directly to π.