Find Center and Radius of Circle

In summary, the center of the circle is at (5, -1) and the radius is 4. This can be found by completing the square for both the x and y terms in the equation.
  • #1
mathdad
1,283
1
Determine the center and the radius of circle.

x^2 + y^2 - 10x + 2y + 17 = 0

Can this be done using completing the square?
 
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  • #2
RTCNTC said:
Determine the center and the radius of circle.

x^2 + y^2 - 10x + 2y + 17 = 0

Can this be done using completing the square?
Yes! Write the equation in the form $(x^2 - 10x +\ ?) + (y^2 + 2y +\ ?) =\ ?$ (choosing the queries so as to complete the squares), and you should be able to read off the answer.
 
  • #3
Opalg said:
Yes! Write the equation in the form $(x^2 - 10x +\ ?) + (y^2 + 2y +\ ?) =\ ?$ (choosing the queries so as to complete the squares), and you should be able to read off the answer.

I got it.
 

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