In the $xy$-plane, an equation of circle $A$ is $(x - 4)^2 + (y - 8)^…

Question

Prompt

In the

x y

-plane, an equation of circle

A

(x - 4)^{2} + (y - 8)^{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 - 4)^{2} + (y - 8)^{2} = 32

(x - 4)^{2} + (y - 8)^{2} = 64

(x - 4)^{2} + (y - 8)^{2} = 128

(x - 4)^{2} + (y - 8)^{2} = 256