Question

Find the coordinates of the center of the following circle. (x - 3)² + (y - 7)² = 49

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 of the circle has coordinates $(x_0, y_0)$ and the radius is $r$

So, in your case, the center of the circle is $(3,7)$