Consider a circle with center (8,-4) that passes through the point (10,6). What is the equation of the described circle?
A) (x - 8)^2 + (y + 4)^2 = 104
B) (x - 8)^2 + (y + 4)^2 = 200
C) (x + 8)^2 + (y - 4)^2 = 104
D) (x + 8)^2 + (y - 4)^2 = 200

If the circle passes through the point (9,5), what is the equation of the new circle with the same center?
A) (x + 8)^2 + (y - 4)^2 = 178
B) (x + 8)^2 + (y - 4) ^2 = 82
C) (x - 8)^2 + (y + 4)^2 = 178
D) (x - 8)^2 + (y + 4)^2 = 82