Answer:
Step-by-step explanation:
We will use the standard form of a circle to solve for the radius and then fill it back in. h is 0, k is 0, x is 3, and y is 6:
[tex](3-0)^2+(6-0)^2=r^2[/tex] and
[tex]3^2+6^2=r^2[/tex] and
[tex]9+36=r^2[/tex]
Therefore, r-squared is 45, so the circle's equation in standard form is
[tex](x-0)^2+(y-0)^2=45[/tex] or more simply:
[tex]x^2+y^2=45[/tex]
