Find the distance between the points $(0,-8)$ and $(2,-5).$
A circle centered at $(0,-8)$ passes through the point $(2,-5).$ Find the equation of the circle. Write your equation in the form "$(x - h)^2 + (y - k)^2 = r^2$".
The distance between the two points given is the radius of the circle
(0-2)^2 + (-8- - 5)^2 = d^2 d = sqrt(13) (this is the radius of the circle)
circle equation (x-0)^2 + (y+8)^2 = sqrt(13)^2
x^2 + (y+8)^2 = 13
great job guest