Question

4. A circle is represented by the equation x^2 + (y-3)^2 = 13. What are the coordinates of the center of the circle and the length of theradius?

Answer 1

`\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ x^2+(y-3)^2=13 \\ \text{Center (h,k)} \\ \text{Center (0,3)} \\ r^2=13 \\ r=\sqrt[]{13} \\ \text{The center is (0,3) and the radius is }\sqrt[]{13} \end{gathered}`