6. Equations of Circles

6.01 Introducing the Equation of a Circle

6.02 Identifying the Centre and Radius of a Circle from its Equation

6.03 Finding the Equation of a Circle given its Centre and a Point on the Circle

6.04 Determining whether a point lies Outside, On or Inside a Circle

6.05a Using Completing the Square to manipulate the Equation of a Circle

6.05b A Trickier example of using Completing the Square with Circles

6.06a Introducing the Tangent and Normal to a Circle

6.06b Finding the Equation of the Tangent and Normal to a Circle

6.06c A Problem involving the Tangent and Normal to a Circle

6.07 The Intersection of a Straight Line and a Circle

6.08a Using a Chord of a Circle

6.08b Finding the Equation of a Circle given 3 Points

6.08c Finding the Equation of a Circle given 3 Points (easier numbers)

6.09 Circles and Quadratic Inequalities