SOLUTION: Need help with a question. Find the general form of the equation of the circle: Center at the point (-4,-3); containing the point (-3,3)

Algebra ->  Graphs -> SOLUTION: Need help with a question. Find the general form of the equation of the circle: Center at the point (-4,-3); containing the point (-3,3)      Log On


   

Question 968506: Need help with a question. Find the general form of the equation of the circle: Center at the point (-4,-3); containing the point (-3,3)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Center at the point (-4,-3); containing the point (-3,3)
%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
if the center is at the point (h,k)= (-4,-3), we
%28x-%28-4%29%29%5E2%2B%28y-%28-3%29%29%5E2=r%5E2
%28x%2B4%29%5E2%2B%28y%2B3%29%5E2=r%5E2..........eq.1
now use given point (x,y)=(-3,3)
%28-3%2B4%29%5E2%2B%283%2B3%29%5E2=r%5E2.........solve for r%5E2
%281%29%5E2%2B%286%29%5E2=r%5E2
1%2B36=r%5E2
r%5E2=37
r=sqrt%2837%29
then, your equation is: %28x%2B4%29%5E2%2B%28y%2B3%29%5E2=37