Find the Equation of a Circle Satisfying the Given Conditions $(1,-7)$

Multiple Choice

Find the equation of a circle satisfying the given conditions.
-Center: $(1,-7)$ ; radius: 5

A) $(x+7) ^{2}+(y-1) ^{2}=5$
B) $(x-1) ^{2}+(y+7) ^{2}=25$
C) $(x+1) ^{2}+(y-7) ^{2}=25$
D) $(x-7) ^{2}+(y+1) ^{2}=5$