If you mark 8 points on the circle you can get 28 segments.
The number of segments you can draw that connect these points is given by this equation:
[tex]\frac{1}{2}n^2- \frac{1}{2}n[/tex]
So you need to find out the number of segments you can draw by marking eight point on the circle. Therefore, we set [tex]n=8[/tex] in the equation and let's get the number of segments that are drawn in the circle. So:
[tex]\frac{1}{2}(8)^2- \frac{1}{2}(8) \\ \\ \frac{64}{2}- \frac{8}{2}=32-4=\boxed{28 \ segments}[/tex]
The correct answer is D. 28 segments.
