I was reading up on pie and it sounded good to eat, no that was a bad joke.

 

Ok, I was reading on pi and I was wondering if the reason people cant get an exact number, or something other then irrational is due to the shape of the circle. Such as a circle, or its circumference lacks a point, or is sort of always in a curve regardless of position in regards to circumference.

There is an exact value for pi, it's just not a rational one. And yes, pi is defined by the shape of the circle, I have no idea what you were speculating in regards to there.

Yeah, the tree said it right, pi has an exact number, it just isn't rational. Proofs of its irrationality have been around for quite some time, I am sure you can find several by using your favorite web search engine.

Such as a circle, or its circumference lacks a point, or is sort of always in a curve regardless of position in regards to circumference.

 

The circle is an exmple of what is known as a "manifold". As such you can always define a "point" on that manifold using (local) coordinates.

 

You can just use your embedding of the circle in [math]\mathbb{R}^{2}[/math] to define local coordinates, i.e [math](x,y)[/math] such that [math] x^{2} + y^{2} = 1[/math].