The equation of circle that passes through origin is given by
[tex] x^2 + y^2 = r^2 [/tex]
And the given circle passes through (-8,0).
Substituting -8 for x and 0 for y, we will get
[tex] (-8)^2 + 0^2 = r^2
\\
64=r^2
\\ r=8 [/tex]
So the required equation of corcle is
[tex] x^2 + y^2 =64 [/tex]
