Question

Enter the equation of the circle with the given center and radius.

Center. (0,7); radius: 9
The equation of the circle is
?

Answer 1

Equation of a Circle

Equations of circles are typically organized in the following form:

`(x-h)^2+(y-k)^2=r^2`

• 
  `(h,k)` is the center
• 
  `r` is the radius

Solving the Question

We're given:

• Center: (0,7)
• Radius length: 9 units

Plug the given information into
`(x-h)^2+(y-k)^2=r^2`:

`(x-0)^2+(y-7)^2=9^2`

`x^2+(y-7)^2=81`

Answer

`x^2+(y-7)^2=81`