Why is the ratio of a circle’s circumference to its diameter important?

Question

Why did the first person even ask what it was?

In: 112

Answer 1

Try to find the area of a circle without using π.

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You can draw a square inside of the circle and measure it, but there is space left over on the sides, then draw small ones in the open space and measure those, with increasingly small squares you run into Zeno’s Dichotomy Paradox:

[https://www.youtube.com/watch?v=EfqVnj-sgcc](https://www.youtube.com/watch?v=EfqVnj-sgcc)

and still never find the area of a circle. there will always be some remainder at the edges.

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What boggles my mind is how often Pi show up in formulas outside of geometry, electrical, physics, chemistry, etc, etc. it is everywhere at the base of nearly every process in our universe.