Find the Equation of the Circle with a Radius of 2

Multiple Choice

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

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