3. In parametric form
Representing the circle parametrically is quite simple. Recall that for a circle centered at the origin, the pair of equations
describe a circle of radius
as
varies from 0 to
. If we want to move the center from the origin, all we have to do is add the appropriate constant to the
and
coordinates.
> plot([2+3*cos(theta),1+3*sin(theta),theta=0..2*Pi], scaling=constrained);