Find the Equation of the Circle with a Radius of 4

Multiple Choice

Find the equation of the circle with a radius of 4 and its center at the intersection of $4 x + y = 2$ and $- 3 x -$ $4 y = 5$ .

A) $\quad ( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16$
B) $\quad ( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$
C) $( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16$
D) $( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 4$
E) none of these