Replace the Cartesian Equation with an Equivalent Polar Equation $$( x - 18 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 324$$

Multiple Choice

Replace the Cartesian equation with an equivalent polar equation.
- $$( x - 18 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 324$$

A) $r = 36 \cos \theta - 6 \sin \theta - 9$
B) $r ^ { 2 } = - 18 r \cos \theta + 3 r \sin \theta + 324$
C) $r ^ { 2 } = 36 r \cos \theta - 6 r \sin \theta - 9$
D) $\mathrm { r } ^ { 2 } = 36 \mathrm { r } \sin \theta - 6 \mathrm { r } \cos \theta - 9$