• The Equation of a Circle

  Coordinate Geometry

  The Equation of a Circle is explained in this session. 

  The following concepts are discussed, with examples:

       ♦ The "Completed the Square" Equation of a Circle

       ♦ The "Expanded Form" Equation of a Circle
   
       ♦ Useful Properties of Circles
   
       ♦ Intersection of line and circle
   
       ♦ Finding coordinates of centre of circle from given equation of circle

   

       ♦ Finding Equation of Perpendicular Bisector of Chord

   

       ♦ Tangent to a circle
   
       ♦ Examples

  The exercise file section contains notes and homework

  Note: this chapter is also included in the A-level Mathematics course

• Session 55: Equation of Circle

  • Equation of Circle
    • Completed the Square Equation 4 mins
      View Demo

      Demo video

      Completed the Square Equation

      View Full Lesson
    • Example 1 2 mins
      View Demo

      Demo video

      Example 1

      View Full Lesson
    • Example 2 1 mins
      View Demo

      Demo video

      Example 2

      View Full Lesson
    • Example 3 4 mins
      View Demo

      Demo video

      Example 3

      View Full Lesson
    • Expanded Form Equation 4 mins
      View Demo

      Demo video

      Expanded Form Equation

      View Full Lesson
    • Example 4 3 mins
      View Demo

      Demo video

      Example 4

      View Full Lesson
    • Useful Properties of Circles 3 mins
      View Demo

      Demo video

      Useful Properties of Circles

      View Full Lesson
    • Example 5 7 mins
      View Demo

      Demo video

      Example 5

      View Full Lesson
    • Intersection of Line & Circle 2 mins
      View Demo

      Demo video

      Intersection of Line & Circle

      View Full Lesson
    • Example 6 7 mins
      View Demo

      Demo video

      Example 6

      View Full Lesson
    • Example 7 3 mins
      View Demo

      Demo video

      Example 7

      View Full Lesson

• Excercise Files

  • Equation of Circle
    • Notes
    • Homework - Exercise 7.1

Related Courses

Session 8

Straight Line Graphs - Part 2

Straight Line Graphs - Part 2..

5 Lectures

918 Views

Session 4

Quadratics - Part 4 - Intersection of Line and Curve

Quadratics - Part 4 - Intersection of Line and Curve..

5 Lectures

1301 Views

Session 29

Homework Correction - Circular Measure - Area of Sector

Homework Correction - Circular Measure - Area of Sector..

8 Lectures

432 Views