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Equation of Circles

Learn about the general equation of circles in form with radius 'r' and centre (a, b), with examples and formulas for finding centre and radius.

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Equation of Circles

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  1. Equation of Circles

  2. General Form where r is the radius and (a, b) is the centre.

  3. Example • A circle of centre (5, −4) and radius 3 has equation

  4. Centre (−1, 2), radius 7

  5. Centre (0, 0), radius 1

  6. Centre (4, −3) and circle touches x-axis • Radius = 3

  7. Different Form To find out what is g, f and c, expand the general form: Rearrange: g = -a f = -b c = centre  (a, b)  (−g, −f). Radius =

  8. Example • Given equation of circle is , find its centre and radius.  (1) From (1): Centre is (3, 2) and radius is

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