CIRCLE

HOW TO FIND THE EQUATION OF A CIRCLE.
    
In this question, we have been given the coordinate of the center of the circle and the radius of that circle ( i.e the distances from any point at the circumference of the circle to the center of that circle). And we have been ask to find the equation of that circle.
     We have so many methods of solving such kind of problems, but we are now going to use the standard equation of the circle.


Since now we have the standard equation of the circle as given above, so we have to find the value of g, f, c and then subtitute them.
 

But we have to remember that also:
So this means that:

To find the value of we have to remember the relationship below:

Then let substitute the values of r,g and f in the above relationship,so that we will find the value of c by making it to be the subject of the relation.


Now we have the values of g,f and c. Hence we have to substitute them in the standard equation of the circle above.

Finally we now have the request equation of the circle.



TO WATCH THE SOLUTION OF THIS PROBLEM ON YOUTUBE, CLICKS ON THIS STATEMENT.



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