Question

Help .. How do you identify its center and radius?

Answer 1

`x^(2) + (y-3)^(2) =18`

Move all variables to the left side and all constants to the right side.

This is the form of a circle. Use this form to determine the center and radius of the circle.

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

Match the values in this circle to those of the standard form. The variable
`r` represents the radius of the circle,
`h` represents the x-offset from the origin, and
`k` represents the y-offset from origin.

`r`=
`3√(2)`

`h`= 0

`k` = 3

The center of the circle is found at ( h , k )

Center: ( 0,3)

These values represent the important values for graphing and analyzing a circle.

Center: ( 0 , 3)

Radius:
`3√(2)`