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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.
1 When the center is at origin and radius is r, the equation of the circle in standard form is given by x2 + y2 = r2. 2  When the radius of a circle is 0, the equation of the circle in standard form becomes (x-h) 2 + (y-k) 2 = 0. 3  This can happen only when the circle reduces to a point.e know that the standard form of a circle is (x-h) 2 + (y-k) 2 = r 2. Comparing the given equation with the standard form, we get. h = -10, k = 4 and r 2 = 25. Taking square root on both sides of r 2 = 25, we get r = 5.