A circle is a shape with all points the same distance away from one place. When you cut a circle into two, three, four or more pieces, each of those pieces is a segment of the circle. A circle point segment proof is a way of figuring out how many points must be used to show that the segments of the circle all have the same size. To do this, you have to measure the angles between the end points of each of the segments, add them up, and see if they equal a complete circle, which is 360 degrees. If the angles are less than 360 degrees, then that means that the points haven't been placed correctly and more need to be added. But if the angles add up to 360 degrees, then that means the points have been placed correctly and the segments all have the same size!