What is the equation of a circle with its center at (0,-2) and passing through the point (3,-5)

Circle's Standard Form Equation:


First you need to substitute the C (0,-2) in the equation, where: Xo = 0 and Yo = -2;



Now you substitute the Point (3,-5) values in the last expression, where: X = 3 and Y = -5;



Now you get the R^2 value and substitute in the equation that you found putting the C values on it:



Here is your standard form equation of the circle.