the equation of the circle centered at the origin and passing through the point (-3,0) square

The equation of a circle centered at the origin is given by , where is the radius of the circle.Given that the circle passes through the point \((-3,0)\), we can use the distance formula to find the radius. The distance between the origin and the point \((-3,0)\) is 3 units.Therefore, the equation of the circle is , which simplifies to .