SOLUTION: on my worksheet it says find the center and the radius of the circle with the given points the problem is x2+y2-6x-2y+5=0 i have to subtract the 5 then what?

Algebra ->  Rational-functions -> SOLUTION: on my worksheet it says find the center and the radius of the circle with the given points the problem is x2+y2-6x-2y+5=0 i have to subtract the 5 then what?      Log On


   

Question 64588: on my worksheet it says find the center and the radius of the circle with the given points the problem is x2+y2-6x-2y+5=0 i have to subtract the 5 then what?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the center and radius of the circle whose equation is:
x%5E2%2By%5E2-6x-2y%2B5+=+0 Yes, you first subtract 5 from both sides.
x%5E2%2By%5E2-6x-2y+=+-5 Now group the x-terms together and the y-terms together.
%28x%5E2-6x%29+%2B+%28y%5E2-2y%29+=+-5 Next, complete the squares in the x-terms and in the y-terms.
%28x%5E2-6x%2B9%29+%2B+%28y%5E2-2y%2B1%29+=+-5%2B10 Now factor the left side.
%28x-3%29%5E2+%2B+%28y-1%29%5E2+=+5 Compare this with standard form for a circle with centre at (h, k) and radius r.
%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
From this comparison, you can see that the centre of your circle is at (3, 1) and the radiusr+=+sqrt%285%29