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.Com
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) (Show Source): You can put this solution on YOUR website!
The equation of a circle centered at )
with radius 
is:
^2\ +\ (y\ -\ k)^2\ =\ r^2)
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
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
how i do this?
find the equation of a circle centered at the origin, and having radius (answered by AnlytcPhil)
Write the equation in standard form for the circle passing through(0,7/2)centered at the... (answered by richwmiller)
write the equation for a circle with r=5, centered at the... (answered by Alan3354)
Write the equation for a circle centered at the origin with y-intercepts of (0,-4) and... (answered by Alan3354)
Write the equation for a circle centered at the origin with y-intercepts of (0,-4) and... (answered by math_tutor2020)
Write the equation for a circle centered at the origin with a radius of 14. Help me... (answered by Alan3354)
Write the equation of the ellipse centered at the origin given a focus (0,2) and a vertex (answered by lwsshak3)
give the equation of the circle centered at the origin and passing through the point... (answered by Alan3354)
Write the equation for a circle centered at the origin with x-intercepts of (-9,0) and... (answered by Alan3354)
