Why do all circles share the same pi?
Show answer & explanation
Answer: Circumference scales with diameter
Circumference scales with diameter ✓ — Correct! If you scale a circle up or down, both its circumference and diameter scale by the same factor. Their ratio stays constant, and that constant is pi.
Big circles curve less — Wrong. Large circles do curve less locally, but that is not why circumference divided by diameter stays the same.
Only perfect circles use pi — Wrong. Pi is a geometric constant for circles in general, not only for some imaginary perfect special case.