Chapter PS, Problem 6.4P

To determine

To find: The number of line segments that can be drawn between any two vertices of an octagon.

Answer to Problem 6.4P

The number of line segments that can be drawn between any two vertices of an octagon is $20$ .

Explanation of Solution

Given information:

The given octagon is,

  

The number of line segments that can be drawn between any two vertices of an octagon is calculated as,

  $\begin{array}{c}n=\frac{5\times 8}{2}\\ =20\end{array}$

Thus, the number of line segments that can be drawn between any two vertices of an octagon is $20$ .