[eli5] Why pie ? Can’t 1m form the circumference of a circle. why can pie form a prefect circle ?

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[eli5] Why pie ? Can’t 1m form the circumference of a circle. why can pie form a prefect circle ?

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>Can’t 1m form the circumference of a circle?

Yes, it can.

You seem to be confused about the nature of pi; pi is the *ratio* between a circle’s circumference and its diameter.

So, you can have a circle with a circumference of one meter; its diameter would then be 1/pi.

Pie is the value of a circles circumference divided by it’s diameter. The value remains the same no matter what size the circle is.

It is spelled “pi”, which is the English/Latin spelling of the Greek letter π.

The circumference of a circle can be anything you want it to be. What pi says, is that the relationship between the circumference and the diameter is always the same. That is, the length circumference is *always* the length of the diameter times pi.

You can totally have a circle with a circumference of 1.

Such a circle would have a diameter of 1/pi

If the diameter is a whole (or even just a rational) number then the value for the circumference will have to have pi multiplied by something.

If the circumference is a whole (or even just a rational) number then the value for the circumference will have to have pi^-1 multiplied by something.

They can’t both be whole numbers or even just ratios of whole numbers.

This is what they mean when they talk about squaring the circle.

You can’t do it either one value or the other (or both) have to have an irrational component.

Pies are made in the shape of a circle, and they are delicious. They aren’t a perfect circle, of course, as this is physically impossible. But that doesn’t make them taste any less good.