Which is a parametric equation for the curve $9 = \left(x+6\right)^{2}+\left(y-2\right)^{2}$?

A. $c(t) = \left(2+3\cos\!\left(t\right),3\sin\!\left(t\right)-6\right)$
B. $c(t) = \left(3\cos\!\left(t\right)-6,2+3\sin\!\left(t\right)\right)$
C. $c(t) = \left(2+9\cos\!\left(t\right),9\sin\!\left(t\right)-6\right)$
D. $c(t) = \left(9\cos\!\left(t\right)-6,2+9\sin\!\left(t\right)\right)$