So here's the question: Find the parametric equations of a circle with radius 4 and with a center of (3,9) moving counterclockwise around the circle once.

I worked through it and got:

$\displaystyle x= 4cosTheta + 3$

$\displaystyle y= 4sinTheta + 9$

$\displaystyle 0<theta<2pi$

Although I have no idea about the movement around the circle part.