A hexagon has 9 diagonals.
To understand how this is calculated, we can use a formula that determines the number of diagonals in any polygon. The formula is:
D = n(n – 3) / 2
Where D represents the number of diagonals and n is the number of sides in the polygon.
For a hexagon, n is 6 (since a hexagon has 6 sides). Plugging this into the formula gives us:
- D = 6(6 – 3) / 2
- D = 6(3) / 2
- D = 18 / 2
- D = 9
Therefore, a hexagon has a total of 9 diagonals. To visualize it, you can imagine drawing lines between non-adjacent vertices of the hexagon. Each diagonal connects two vertices that aren’t next to each other, leading to this total count.