how do you find the center and radius of a circle?

Problem:

Find the center of the circle given in general form (x^2)+(y^2)-10x-2y+50=49

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- Jan 29th 2009, 09:24 PMlsnydercenter and radius of a circle?
how do you find the center and radius of a circle?

Problem:

Find the center of the circle given in general form (x^2)+(y^2)-10x-2y+50=49 - Jan 29th 2009, 09:30 PMChris L T521
- Jan 29th 2009, 09:35 PMlsnyder
- Jan 29th 2009, 09:39 PMChris L T521
I'll show the next step.

You should group the terms as follows : $\displaystyle \left(x^2-10x+25\right)+\left(y^2-2y+1\right)=49-24$

The terms in parenthesis on the LHS of the equation factor as perfect squares. On the right side, you'll have the radius value*squared*.

Can you continue from here?

EDIT: Please refer to my first post. I fixed an error I found in it. - Jan 29th 2009, 09:46 PMlsnyder