Question

The equation of a circle is (x-5)^2+(y+3)^2=25 what are the coordinates of the center of this circle

Answer 1

This circle is given in standard form $(x-h)^2+(y-k)^2=r^2$, where $(h, k)$ is the ordered pair for the center of the circle.

Notice that in the equation, we have $-h$ and $-k$. When writing the ordered pair alone, we have to remember to flip the sign.

Therefore, we have $(5, -3)$.