• 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
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      Completed the Square Equation

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    • Example 1 2 mins
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      Example 1

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    • Example 2 1 mins
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      Example 2

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    • Example 3 4 mins
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      Example 3

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    • Expanded Form Equation 4 mins
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      Expanded Form Equation

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    • Example 4 3 mins
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      Example 4

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    • Useful Properties of Circles 3 mins
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      Useful Properties of Circles

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    • Example 5 7 mins
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      Example 5

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    • Intersection of Line & Circle 2 mins
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      Intersection of Line & Circle

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    • Example 6 7 mins
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      Example 6

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    • Example 7 3 mins
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      Example 7

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• Excercise Files

  • Equation of Circle
    • Notes
    • Homework - Exercise 7.1

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