SOLUTION: I have to write the equation of a circle centered at the origin and going through the following points and write in standard form. Any help is appreciated. 1) (-6,-8) 2) (5,-12

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I have to write the equation of a circle centered at the origin and going through the following points and write in standard form. Any help is appreciated. 1) (-6,-8) 2) (5,-12      Log On


   

Question 376355: I have to write the equation of a circle centered at the origin and going through the following points and write in standard form. Any help is appreciated.
1) (-6,-8)
2) (5,-12)
3) (-4,4)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The equation of a circle centered at with radius is:



Since your circles are all centered at the origin, you have:



Recalling Pythagoras, if is a point on the circle, then



Once you have the value of you can add the opposite of that value to both sides so that you have:



Which is equivalent to Standard Form: where A = 1, B = 1, C and D = 0, and E =


John

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