25 b) C(3, 2) is the center of a circle with a radius of 5.
I) Which of the following points lie on the circle?
P(-2, 2), Q(0, 6), R(7, 4), S(-1, -1), and T(6, 6.5)
II) Which point is outside the circle?
III) State the equation of the circle with the same radius, if its center is at the origin.
***FROM HERE DOWN IS WHERE I REALLY NEED THE HELP***
Note to readers - when they changed the coordinates of the origin from (0,0) to (3,2), they never did any examples or anything on what exactly changes, and I'm really just confused as to how this works. All I did was draw a graph of a circle with its origin at 3,2 to find the following answers, if I had to try and find the answers and explain it through equations or formula's, that's where I'm stuck.
25) b) I) Points P(-2, 2), Q(0, 6), 5(-1, -1), lie on the circle.
II) T(6, 6.5) is outside the circle.
III) I'm stuck on this last question completely.[/QUOTE]
The equation of the circle is .
I. All to do is substitute the points in to see which are on the circle.
II. Substitute the points into it the result is the point is outside the circle.
III. Any circle centered at the origin looks like .