This document provides exam strategies and worked examples for solving circle geometry problems: 1) Finding the center and radius of a circle given its equation, and writing the equation of a circle given its center and radius. 2) Finding the equation of a tangent line to a circle at a given point. 3) Proving that a line is tangent to a circle by substituting the line equation into the circle equation. 4) Finding the points of intersection between a line and circle, and using the midpoint of a diameter as the circle's center. 5) Determining whether two circles touch based on the distance between their centers and the sums of their radii.