Grades / Grade 12

Analytical Geometry: Circles

This CAPS-aligned course focuses on circles that are not centred at the origin. We will discuss the equation of a circle in centre-radius form and in general or standard form. We will look at how to complete the square to change from general form to centre-radius form. We then discuss points on a circle, and whether they lie inside, on or outside the circle. We will also study the point of intersection of a line and a circle. Tangents and circles are a very important aspect of analytical geometry and will be discussed in detail.