How do you write an equation of a circle that passes through the points (3,6), (-1,-2), and (6,5)?
by solving we get g=2, f=-6 c=-25
therefore the equation is
This approach requires solving a system of three simultaneous first-degree equations.
Let the equation of the circle in a
Construct three equations about
Solving for the system shall give
Thus the Equation of the circle:
"[The] Equation of [a] circle passing through 3 given points", Maths Department, Queen's College, http://www.qc.edu.hk/math/Advanced%20Level/circle%20given%203%20points.htm