Answer
A = 2
s = 1.55377397403
P = 12.43019179224
Interior Angle sum = 1080°
Diagonals = 20
1 vertex Diagonals = 5
Triangles = 6
Sides (Edges) = 8
Faces = 1
Vertices = 8
s = 1.55377397403
P = 12.43019179224
Interior Angle sum = 1080°
Diagonals = 20
1 vertex Diagonals = 5
Triangles = 6
Sides (Edges) = 8
Faces = 1
Vertices = 8
↓Steps Explained:↓
The Area of an octagon is 2
Calculate side, perimeter
Calculate side:
| s = | √2(1+√2) |
| √A |
| s = | √2(2.4142135623731) |
| √2 |
| s = | √4.8284271247462 |
| √2 |
| s = | 2.1973682269356 |
| 1.4142135623731 |
s = 1.55377397403
Calculate Perimeter:
P = 8 x side
P = 8 x 1.55377397403
P = 12.43019179224
Calculate Sum of the Interior Angles:
Interior Angle Sum = (sides - 2) x 180°
Interior Angle Sum = (8 - 2) x 180°
Interior Angle Sum = 6 x 180°
Interior Angle sum = 1080°
Calculate polygon diagonals
| Diagonals = | n(n - 3) |
| 2 |
| Diagonals = | 8(8 - 3) |
| 2 |
| Diagonals = | 8(5) |
| 2 |
| Diagonals = | 40 |
| 2 |
Diagonals = 20
Calculate 1 vertex diagonals:
1 vertex Diagonals = n - 3
1 vertex Diagonals = 8 - 3
1 vertex Diagonals = 5
Calculate triangles from one vertex:
Triangles = N - 2
Triangles = 8 - 2
Triangles = 6
Other Properties:
Sides (Edges) = 8
Faces = 1
Vertices = 8
Final Answers
A = 2s = 1.55377397403
P = 12.43019179224
Interior Angle sum = 1080°
Diagonals = 20
1 vertex Diagonals = 5
Triangles = 6
Sides (Edges) = 8
Faces = 1
Vertices = 8
Related Calculators: Polygons | Heptagon | Decagon