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BodhiAI
Nov. 15, 2019

General Equation of Circle:

General Equation of the Circle

 

Let the central form of the equation of circle with centre at C(h, k) and having radius a is given by the equation

⇒            

                                         ......(1)

 

In general form, we have

 

                                                                                                      ......(2)

 

Comparing (1) and (2), we have

 

             and

 

Hence, the equation

 

           

 

is the general equation of the circle in two degree and two variables the abscissa of whose centre is minus of half of coefficient of x and ordinate is minus of half of coefficient of y i.e. (-g, -f) and

 

Radius