SOLUTION: Find the center and radius of the circle whose graph passes through the points (-3,-5), (-9,-13), and (-2,-12). Hint: use the equation x^2+y^2+ax+by+c=0. I need help, I have vari

Algebra.Com
Question 1080854: Find the center and radius of the circle whose graph passes through the points (-3,-5), (-9,-13), and (-2,-12). Hint: use the equation x^2+y^2+ax+by+c=0.
I need help, I have various examples but they skip steps so I don't understand how to solve it.

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
You will make a system of equations with the form of each equation as , because the right-side member will be a computable value for each equation.

Each point gives a separate equation.



------continue and solve this system for a, b, and c.


(used online calculator at https://matrix.reshish.com/gauss-jordanElimination.php )

Use the equation formed using the found coefficients and convert the equation into standard equation form for a circle ( can mean, completing the squares) and read the center and radius from the equation.

RELATED QUESTIONS

Solve the exercise by solving a system of equations. Find the center and radius of... (answered by josgarithmetic,MathTherapy,Alan3354)
Find the equation of the circle that passes through the point P(5, 2) and whose center is (answered by ikleyn)
find the quadratic function y=a(x-h)^2 whose graph passes through these points: (9,-12)... (answered by TimothyLamb,ikleyn)
A circle passes through the points (6,3), (6,-3) and (2,5).Find the centre,radius, and... (answered by Alan3354)
Find the equation of a circle that its center is on the line x-2y-9=0 and passes through... (answered by josgarithmetic,ikleyn)
Find the equation of the circle which passes through (0,0), r=13 and the abscissa of its... (answered by Fombitz)
Find the center and radius of the circle. (x - 3)^2 + (y + 5)^2 = 9 (answered by Gogonati)
find the center and the radius of the circle whose equation is (x-3)^2 + (y+2)^2 = 16 (answered by Fombitz)
find the equation of a circle whose center is at (2, -4) and radius... (answered by Alan3354)