Question

Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connect these points is 1/2n^2 - 1/2n
How many segments can you draw if you mark 8 points on the circle?

Answer 1

The expression for the number of segments drawn out of the n number of points in the circle is,
                                n² / 2 - n / 2
Substituting directly to the expression the number of points, n, which is equal to 8,
                                8² / 2  - 8 / 2 = 28
Thus, there are 28 segments that can be drawn from the points.