In the xy-plane, a circle has its center at (1,−4) and passes through the point (4,0). Which of the following is an equation of the circle?
(x+1)2+(y−4)2=5
(x−1)2+(y+4)2=5
(x+1)2+(y−4)2=25
(x−1)2+(y+4)2=25