The three vertices of a triangle are \( (0,0) \), \( (3,1) \) and \( (1,3) \). If this triangle is inscribed in a circle, then the equation of the circle is
Show Hint
For a circle passing through the origin, the constant term \(c\) in the general equation \(x^2+y^2+2gx+2fy+c=0\) is always zero. This instantly simplifies your system of equations, saving valuable time.