Answer :
Equation of a Circle
Equations of circles are typically organized in the following form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
- [tex](h,k)[/tex] is the center
- [tex]r[/tex] is the radius
Solving the Question
We're given:
- Center: (0,7)
- Radius length: 9 units
Plug the given information into [tex](x-h)^2+(y-k)^2=r^2[/tex]:
[tex](x-0)^2+(y-7)^2=9^2[/tex]
[tex]x^2+(y-7)^2=81[/tex]
Answer
[tex]x^2+(y-7)^2=81[/tex]