A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 40-sided polygon have? Choose the correct choice from the following answers:
A) 875  B) 740  C) 1425  D) 2025  E) 2500
There's a direct formula for this.   Number of diagonals in a regular polygon = [n*(n-3)] / 2, n = number of sides of the regular polygon.   Here, n = 40.   Plugging it in, we get 740 diagonals!   Answer (740).
<result>B</result>
A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 40-sided polygon have?