Answer:
(x+4)^2 + (y+3)^2 = 145
Step-by-step explanation:
Using the circle equation (x-h)^2 + (y-k)^2 = r^2
We know that the center of the circle is (h,k). But to find the working radius that passes through the desired point, substitute that point into the x, and y, and add them up.
(x+4)^2 + (y+3)^2 = (5,5) → (5+4)^2 + (5+3)^2 = 9^2 + 8^2 = 81 + 64 = 145
*Magic*
Now try and substitute the other point into the equation
(5,5) → (x+4)^2 + (y+3)^2 = 145 → (5+4)^2 + (5+3)^2 = 145 → 9^2 + 8^2 = 145 → 81 + 64 = 145 → 145 = 145