I'm trying to find the equation of a circle, which I can easily work out if I knew the centre of it. However, the only information I'm given are two points on the circle that form a chord and an image that shows a rough placement of the circle on the grid.
Image of the Circle.
I was given this question by my teacher, so if no one can help me, I will go back to her to see if there is a solution.
Thanks for any help,
Alex.
Best Answer
$CA = CB$, so $C$ lies on the perpendicular bisector of $[AB]$, which is given by $x = 2$, so $x_C = 2$. Now, clearly, $D(2,0)$ is a point on the circle. Hence, the center lies on the perpendicular bisector of $[BD]$, which you can find its equation. Substituting the coordinates of $C$ in that equation you get $y_C$.