MATH 1021 Chapter : Section 2 2
Document Summary
A circle is a set of points that are a fixed distance from a fixed point. The fixed distance is the radius, r, of the circle and the fixed point, (h, k), is the center of the circle. Standard form of an equation of a circle: (x h)2 + (y k)2 = r2 where (h, k) = center of the circle, and r = radius of the circle. Note: this equation of a circle comes from using the distance formula between the center of the circle and any point on the circle will be equal to the radius. If you were to eliminate the parentheses above by squaring (x h) and (y k), this will lead you to the general form (see below). General form of an equation of a circle: ax2 + ay2 +b x + cy + d = 0, where a, 1: given r = 2; (h, k) = (-3, 1) a. )
