Understanding Why C/d = pi is a Constant

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Lets say that "d" is diametr of a circly,and C is the perimetr(length).
Why C/d = pi (3.14) is a constant?? I know the proof of archimides with poligons,from which found the value of pi,but how we know that C/d is always equal with a constant that we named as π=3.14;

Thanks !
 
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I found it guys. The proof use similar triangles etc...
Thanks for your time !
 
Hepic said:
I found it guys. The proof use similar triangles etc...
Thanks for your time !

This also requires assumptions of Euclidean geometry. In spherical geometry it is not constant.
 

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