Answer
$$x= 3+4\cos t, \quad y= 9+4\sin t.$$
Work Step by Step
The parametric equations for a circle of radius $R=4$ and center $(3,9)$ are
$$x=a+R\cos t=3+4\cos t, \quad y= b+R\sin t= 9+4\sin t.$$
That is,
$$c(t)=(x(t),y(t))=(3+4\cos t,9+4\sin t).$$
