Question

Find the coordinates of the center of the given circle. (x - 5)2 + (y + 3)2 = 25 (5, 3) (5, -3) (-5, 3)

Answer 1

When you write the equation of a circle in the form

$(x-x_0)^2+(y-y_0)^2=r^2$

Then the center has coordinates $(x_0, y_0)$ and the radius is $r$

So, in your case, the center is (5,-3) and the radius is 5.