Pi, an irrational number, cannot be expressed exactly as a fraction of integers (and all real-world length units are ultimately based on integers). So either pi is not a circle’s ratio of circumference to diameter, or circles don’t exist (or both!)
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The symbol “Pi” is always the ratio of circumference to diameter by definition. Your projection of “Pi” into a floating point number of arbitrary precision is the issue that invalidates your blurb. Solve your equations symbolically when handling irrational numbers, and you’ll be fine, don’t worry.
And thus you’ve proven why digital computers can never understand the analog-based world in which mathematics exists.
Analog is a myth; the world is digital. We just haven’t found the extent of its mantissa.