Equation of a Circle

The equation of a circle can be derived using Pythagoras Theorem. The circle below has centre  
. The point  
  lies on the circle.

Construct a right angled triangle with hypotenuse from the centre  
  to the point  
  - and so equal to the radius  
  of the circle, base parallel to the  
  - axis and height parallel to the  
  - axis.
Then the base of the triangle is  
  and the height is  
From Pythagoras Theorem,  

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