# High School Math : How to find the length of the diagonal of a hexagon

## Example Questions

### Example Question #1 : How To Find The Length Of The Diagonal Of A Hexagon

What is the length of a diagonal of a regular hexagon with side length ?

Explanation:

Regular hexagons are comprised of six equilateral triangles; in our question, these triangles each have side length 4 (see diagram).

The length of a diagonal is equal to two times the length of the side. In this instance, the answer is 8.

### Example Question #1 : Hexagons

How many diagonals are there in a regular hexagon?

Explanation:

A diagonal is a line segment joining two non-adjacent vertices of a polygon.  A regular hexagon has six sides and six vertices.  One vertex has three diagonals, so a hexagon would have three diagonals times six vertices, or 18 diagonals.  Divide this number by 2 to account for duplicate diagonals between two vertices. The formula for the number of vertices in a polygon is:

where .

### Example Question #11 : Sat Mathematics

How many diagonals are there in a regular hexagon?

6

10

9

18

3