Find the equation of the circle that passes through the point P(7,5) and those whose center is the point C(4,1) than sketch its graph

Answer 1

centre is (4,1), so start with
(x-4)^2 + (y-1)^2 = r^2

but (7,5) lies on it, so
(7-4)^2 + (5-1)^2 = r^2
r^2 = 25

(x-4)^2 + (y-1)^2 = 25

Answer 2

Here's a graph of the circle: ttps://www.desmos.com/calculator/jjdnddjczx