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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.
The equation of a circle comes in two forms: 1) The standard form: (x-h)2 + (y-k)2 = r2. 2) The general form: x2 + y2 + Dx + Ey + F = 0, where D, E, F are constants. If the equation of a circle is in the standard form, we can easily identify the center of the circle, (h, k), and the radius, r.Note: The radius, r, is always positive. Example 1: (x-2)2 + (y-3)2 = 4. (a) Find the center and radius of the circle. (b) Graph the circle. Note: A common mistake is to take h= -2 and K= -3.f the equation of a circle is in the standard form, we can easily identify the center of the circle, (h, k), and the radius, r. Note: The radius, r, is always positive.