Question

what is the center of a circle with the following equation? (x-1)^2+(y+2)^2=49

Answer 1

We know that the equation of the circle is (x-x_0)^2+(y-y_0)^2=R^2, where (x_0,y_0) is the circle and R is the radius.
So the center of the given circle is (1,-2).