How do you find the equation for the circle centered at (0,0) that passes through the point (1,-6)?
The equation of a circle of center(a,b) and radius r is :
So,to think about the equation of a circle we should think about its center and radius .
The center is given (0,0).
The circle passes through the point (1,-6) so ,
the radius is the distance between (0,0) and (1,-6)
Equation of a circle is: