1 | initial version |
There are several ways you can use plot
or similar functions.
use plot
with the circle as the graphics object you already discovered:
sage: plot(circle((0, 0), 2))
express y as a function of x for two half-circles (this will miss part of the circle):
sage: p = plot(sqrt(4 - x^2), (-3, 3))
sage: q = plot(-sqrt(4 - x^2), (-3, 3))
sage: (p + q).show(aspect_ratio=1)
use an implicit plot starting from an equation for the circle:
sage: x, y = SR.var("x y")
sage: implicit_plot(x^2 + y^2 - 4, (x, -3, 3), (y, -3, 3))
use a parametric plot for the circle; here is one (there are many others):
sage: t = var('t')
sage: parametric_plot((2*cos(t), 2*sin(t)), (t, 0, 2*pi))
In this case I would recommend the parametric plot rather than the functions or the implicit plot.