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A circle's equation can have either a general or standard form. In its general form, ax2 + by2 + cx + dy + e = 0, the circle's equation is more suitable for further calculations, while in its standard form, (x-h)^2 + (y-k)^2 = r^2, the equation contains easily identifiable graphing points like its center and radius. circle's equation can have either a general or standard form. In its general form, ax2 + by2 + cx + dy + e = 0, the circle's equation is more suitable for further calculations, while in its standard form, (x-h)^2 + (y-k)^2 = r^2, the equation contains easily identifiable graphing points like its center and radius.
When the equation of a circle appears in general form, it is often beneficial to convert the equation to center-radius form to easily read the center coordinates and the radius for graphing. Examples: 1. Convert into center-radius form.ind the center by using the midpoint formula. Find the radius by using the distance formula. Points (-6,7) and (-1,3) were used here. (d = distance, or radius) Equation: 4. Write the equation for the circle shown below if it is shifted 3 units to the right and 4 units up.