I've always been curious why points in polar coordinates are defined as (r,θ) when all equations (including parametric equations formed from them) are defined as r=f(θ). Considering that point in cartesian coordinates are defined as (x,y) where y=f(x). Also a,b=(r,θ) ∫1/2[f(θ)]2 further implies that θ is the domain. I just find this odd notation wise, and am wondering if anyone can provide me with a reason for this seeming discrepancy. :) Thanks!