x^2 + y^2 - 10x - 16y + 80 = 0
x^2 - 10x + y^2 - 16y + 80 = 0
x^2 - 10x + 25 - 25 + y^2 - 16y + 80 = 0
(x - 5)^2 - 25 + y^2 - 16y + 80 = 0
(x - 5)^2 - 25 + y^2 - 16y + 64 - 64 + 80 = 0
(x - 5)^2 - 25 + (y - 8)^2 - 64 + 80 = 0
(x - 5)^2 + (y - 8)^2 - 25 - 64 + 80 = 0
(x - 5)^2 + (y - 8)^2 - 9 = 0
(x - 5)^2 + (y - 8)^2 = 9
(x - 5)^2 + (y - 8)^2 = 3^2
Circle centered at (5,8) with radius = 3.