# 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.

• Lesson 1 60 minutes with Leigh on Tuesday, 10 May 2022, 17:00

## Circles Not Centred at the Origin

Examining the equation of a circle, how to determine the coordinates at the centre and the length of the radius.

• Lesson 2 60 minutes with Leigh on Thursday, 12 May 2022, 17:00

## Completing the Square on General Form

Changing the general form to centre-radius form by completing the square.

• Lesson 3 60 minutes with Leigh on Tuesday, 17 May 2022, 17:00

## Circles and Points

Determining whether a point lies inside, on or outside a circle.

• Lesson 4 60 minutes with Leigh on Thursday, 19 May 2022, 17:00

## Circles and Tangents: Basics

Solving simultaneously to determine points of intersection.

• Lesson 5 60 minutes with Leigh on Tuesday, 24 May 2022, 17:00

## Circles and Tangents: Stepping Up

Determining the equation of a tangent.

• Lesson 6 60 minutes with Leigh on Thursday, 26 May 2022, 17:00

## Exam-type Questions

Consolidation of this course and working through exam-type questions.