Answer:
(x - 1)^2 + (y - 4)^2 = 4^2
Step-by-step explanation:
Here you're given the center: (1, 4) : (h, k), and so the equation becomes
(x - 1)^2 + (y - 4)^2 = r^2
To find r^2 and r, substitute 5 for x and 4 for y, obtaining:
(5 - 1)^2 + (4 - 4)^2 = r^2
Then: 4^2 = r^2, and so r must be 4. The final version of the equation is
(x - 1)^2 + (y - 4)^2 = 4^2
