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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.
Section 6-2: Equations of Circles   Definition of a Circle  A circle is the set of all points in a plane equidistant from a fixed point called the center point. We can derive the equation directly from the distance formula. If we place the center point on the origin point, the equation of a circle with center point (0, 0) and radius r is: x2 ...