Answer:
D. x² + y² -2x -4y - 20 = 0
Step-by-step explanation:
center is at (1, 2) and radius of 5 units
(x-h)² + (y-k)² = r²
(x-1)² + (y-2)² = 5²
(x-1)(x-1) + (y-2)(y-2) = 25
x² -2x +1 + y² -4y +4 = 25
x² -2x + y² -4y +4 + 1 - 25 = 0
x² -2x + y² -4y +5 - 25 = 0
x² -2x + y² -4y - 20 = 0