Therefore, the number of diagonals in a polygon pentagon is 5. For n = 6, n-polygon is called hexagon and it has 9 diagonals. Therefore, the number of diagonals in a polygon hexagon is 9….

35 diagonals

Polygons

So, the number of diagonals in an n-sided polygon is just n (n – 3) / 2.

An n-gon is a polygon with n sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions.

14 diagonals

2 Answers By Expert Tutors A convex polygon is one where all interior angle measurements are less than 180 degrees, and the hexagon means 6 sides. To get diagonals, you draw a line to connect an angle to another angle (never to sides), and count up how many different lines you get. In this case, you can draw 9.

The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides. To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n – 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).

Classifying Polygons

54 diagonals

90 diagonals