Find the Equation of a Circle Satisfying the Given Conditions $(1,-1)$

Multiple Choice

Find the equation of a circle satisfying the given conditions.
-Center: $(1,-1)$ ; radius: 12

A) $(x+1) ^{2}+(y-1) ^{2}=12$
B) $(x-1) ^{2}+(y+1) ^{2}=144$
C) $(x-1) ^{2}+(y+1) ^{2}=12$
D) $(x+1) ^{2}+(y-1) ^{2}=144$