First plot the 4 points on graph paper:
By looking at the graph we can easily see that a circle can be drawn
through those 4 points and the center will be (h,k) = (4,3) and
the radius will be r=2. Like this:
First we get the center-radius form, which is
Substituting (h,k) = (4,3) and r=2
That's the center-radius form.
To get the general form which is
We start with the center-radius form which we just found,
remove the parentheses by squaring the binomials, collect
like terms, get 0 on the right, and arrange in the
general form:
If you know some short-cuts you can skip some of those steps.
But be careful.
Edwin
