Quote from Spectre2007:
x 2 + y 2 = r 2
(x-h) 2 + (y-k) 2 = r 2
Knowing r,h,k, .... x and y can be plotted in advance. The 2 dimensional structure can be simplified into a formula, that is repetitive and predictable.
No, you're missing my point. Yes, you can use those formulas to dscribe the circle. However, you can only draw a finite number of points, because your computer screen has a finite number of pixels. In this way, the circle that is drawn is not continuous. The circle is drawn imperfectly. To draw it perfectly would require you draw all, infinite points, described by that equation x^2 + y^2 = r^2.
The circle drawn on your screen is "discrete" in nature ( a finite number of points. ) This is its inefficiency. Its imperfect.