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

Question

Prompt

In the

x y

-plane, an equation of circle

A

(x - 2)^{2} + (y - 7)^{2} = 25

. 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 - 2)^{2} + (y - 7)^{2} = 50

(x - 2)^{2} + (y - 7)^{2} = 100

(x - 2)^{2} + (y - 7)^{2} = 250

(x - 2)^{2} + (y - 7)^{2} = 625