Circle A shown is defined by the equation \(x^2 + (y - 5)^2 = 7\). Ci…

Question

Prompt

Circle A shown is defined by the equation

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

. Circle B (not shown) has the same radius but is translated

91

units to the right. If the equation of circle B is

(x - h)^{2} + (y - k)^{2} = a

, where

h, k,

and

a

are constants, what is the value of

4 a