AS Mathematics: Equation of a Circle

In this A-Level Mathematics lesson, we explore the equations of circles, an essential topic in the Edexcel AS Mathematics syllabus. This lesson aims to help students understand how to derive and manipulate the standard form of a circle’s equation and apply these skills in various problem-solving scenarios.

What You Will Learn

By the end of this lesson, you will be able to:

  • Derive the equation of a circle given its centre and radius.
  • Identify the centre and radius from a given circle equation.
  • Complete the square to convert general quadratic equations to the standard circle form.
  • Verify if a given point lies on a specified circle.
Scheme of Work Link

Coordinate Geometry

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