Hexagon has perimeter (P) of of 9
calculate the side length (s) and Area (A)
The perimeter for a hexagon (P) is given below:
P = 6 x s
Dividing each side by 6, we get:
| P | |
| 6 |
| = |
| 6s |
| 6 |
Cancel the 6, we get:
| s = | P |
| 6 |
Plugging in our perimeter value of 9, we get:
| s = | 9 |
| 6 |
s = 1.5
| A = | 3√3s2 |
| 2 |
| A = | 3√3(1.52) |
| 2 |
| A = | 3√3(2.25) |
| 2 |
| A = | 11.69134295109 |
| 2 |
Calculate Area (A):
| A = | 3√3s2 |
| 2 |
| A = | 3√3(1.52) |
| 2 |
| A = | 3√3(2.25) |
| 2 |
| A = | 11.69134295109 |
| 2 |
A = 5.845671475545
Calculate Sum of the Interior Angles:
Interior Angle Sum = (sides - 2) x 180°
Interior Angle Sum = (6 - 2) x 180°
Interior Angle Sum = 4 x 180°
Interior Angle sum = 720°
Calculate polygon diagonals
| Diagonals = | n(n - 3) |
| 2 |
| Diagonals = | 6(6 - 3) |
| 2 |
| Diagonals = | 6(3) |
| 2 |
| Diagonals = | 18 |
| 2 |
Diagonals = 9
Calculate 1 vertex diagonals:
1 vertex Diagonals = n - 3
1 vertex Diagonals = 6 - 3
1 vertex Diagonals = 3
Calculate triangles from one vertex:
Triangles = N - 2
Triangles = 6 - 2
Triangles = 4
Other Properties:
Sides (Edges) = 6
Faces = 1
Vertices = 6
Final Answers
P = 9
s = 1.5
A = 5.845671475545
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6
s = 1.5
A = 5.845671475545
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6
