Find a function $r(t)$ that describes the following curve.

A circle of radius $6$ centered at $(4,2,0)$ that lies in the plane $y=2$

Choose the correct answer below.

A$.r(t)=(6cost4,6sint2,0),$ for $0t2x$

B$.r(t)=(4cost6,2,sint6),$ for $0t2x$

C$.r(t)=($:$4cost,2sint,6),$ for $0t2x$

D$.r(t)=($:$46cost2,6sint),$ for $0t2x$