Answer:
(x - 5)^2 + (y - 4)^2 = 6^2
Step-by-step explanation:
The standard equation of a circle of center (h, k) and radius r is:
(x - h)^2 + (y - k)^2 = r^2.
Here we are given the center (5, 4) and the radius r = 6.
Substituting these values into the standard equation, we get:
(x - 5)^2 + (y - 4)^2 = 6^2