In the xy-plane, an equation of circle A is $(x - 5)^2 + (y - 7)^2 = …

Question

Prompt

In the xy-plane, an equation of circle A is

(x - 5)^{2} + (y - 7)^{2} = 16

. Circle B has the same center as circle A but has a radius that is twice the radius of circle A. Which equation represents circle B?

(x - 5)^{2} + (y - 7)^{2} = 32

(x - 5)^{2} + (y - 7)^{2} = 64

(x - 5)^{2} + (y - 7)^{2} = 128

(x - 5)^{2} + (y - 7)^{2} = 256