circles

Circle

A set of points in the xy plane that are a fixed distance r from a fixed point (h,k), where (h,k) is the center of the circle and r is the radius.

Standard Form of a Circle

The equation of a circle with center (h, k) is (x-h)² + (y-k)² = r².

General Form of a Circle

The general form of a circle where every binomial squared has been multiplied out and all terms are on the left side set equal to 0.

Converting from General Form to Standard

Steps include moving x terms together, y terms together, moving constant term to the other side, completing the square for x and y, and simplifying.

do a practice problem!!!!!!!!!

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