Question 872354
THE CENTER IS (4,-2) and THE RADIUS IS 4.
FIND THE POINT (4,-2) ON THE CARTESIAN PLANE AND DRAW THE POINTS WHICH ARE A DISTANCE OF 4 UNITS FROM IT.  


Another way to study this example is to use the distance formula to form the distance between some set of unknown points (x, y) and the point (4,-3), and equate this distance formula expression to 4.  Simplify the equation and adjust to the typical standard form for a circle.  This is how we can learn to just read an equation of a circle for its center and  radius.


{{{sqrt((x-4)^2+(y-(-2))^2)=4}}}
THAT is simply the use of the Distance Formula.  Simplify it and adjust into the typical standard form, not too many steps needed, and you have your given equation.  This started with our required center and radius.