Question

How do you find the center and radius of `X^2 + Y^2 = 13`?

Answer 1

The center is (0,0) and the radius is `sqrt13`

Explanation:

The equations of the circle is
`(x - h)^2 + (y- k)^2 = r^2`
where h is the x of the center of the circle and k is the y of the center of the circle, and r is the radius.

`(x )^2 + (y)^2 = 13`
is
`(x -0)^2 + (y-0)^2 = 13`

(2,6) radus is 3

h = 0
k = 0
r = `sqrt13`
(0,0) radus is `sqrt13`