MAC1140 Lecture Notes - Lecture 23: Unit Circle, Quadratic Equation, Azis
Document Summary
10. 2 the circle and the ellipse notes: sterling. Provide a generalization to each of the key terms listed in this section. General form of the equation of the circle. When a given circle of the radius, which is labeled r, is being centered at (h, k), then the general form of the equation of the circle is the following: This equation is a note where a, b, and c are the constants. x2 + y2 + ax + by + c = 0. Standard form of the equation of the circle. When a given circle of the radius, which is labeled r, is being centered at (h, k), then the standard form of the equation of the circle is the following: (x h)2 + (y k)2 = r2. Once you note that the origin, which is normally (0, 0), is the basic center, which would then make the equation becomes the following: x2 + y2 = r2.