SOLUTION: Please answer: The general form of the equation of a circle is {{{x^2+y^2+dx+ey+f=0}}} In each the below example write the general form of the equation of the circle with the giv

Algebra ->  Circles -> SOLUTION: Please answer: The general form of the equation of a circle is {{{x^2+y^2+dx+ey+f=0}}} In each the below example write the general form of the equation of the circle with the giv      Log On


   

Question 687664: Please answer: The general form of the equation of a circle is x%5E2%2By%5E2%2Bdx%2Bey%2Bf=0 In each the below example write the general form of the equation of the circle with the given centre and radius: centre (2,3); radius 4
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The distance from a point (x,y) on the circle, and the center (2,3) is 4, so
%28x-2%29%5E2%2B%28y-3%29%5E2=4%5E2

%28x-2%29%5E2%2B%28y-3%29%5E2=4%5E2 --> x%5E2-4x%2B4%2By%5E2-6y%2B9=16 --> x%5E2%2By%5E2-4x-6y%2B4%2B9=16 --> x%5E2%2By%5E2-4x-6y%2B4%2B9-16=0 --> highlight%28x%5E2%2By%5E2-4x-6y-3=0%29%0D%0A