The Area of an decagon is 17
Calculate side, perimeter
Calculate side:
A = 5/2s2√5 + 2√5
A = 2.5s2(3.0776835371753)
| s2 = | 2 x A |
| 5 x 3.0776835371753 |
| s2 = | 2 x 17 |
| 5 x 3.0776835371753 |
| s2 = | 34 |
| 15.388417685876 |
s2 = 2.2094539343838
s = √2.2094539343838
s = 1.4864232016434
Calculate Perimeter:
P = 10 x side
P = 10 x 1.4864232016434
P = 14.864232016434
Calculate Sum of the Interior Angles:
Interior Angle Sum = (sides - 2) x 180°
Interior Angle Sum = (10 - 2) x 180°
Interior Angle Sum = 8 x 180°
Interior Angle sum = 1440°
Calculate decagon diagonals
| Diagonals = | n(n - 3) |
| 2 |
| Diagonals = | 10(10 - 3) |
| 2 |
| Diagonals = | 10(7) |
| 2 |
| Diagonals = | 70 |
| 2 |
Diagonals = 35
Calculate diagonals from 1 vertex:
1 vertex Diagonals = n - 3
1 vertex Diagonals = 10 - 3
1 vertex Diagonals = 7
Calculate number of Δ from 1 vertex:
Triangles = N - 2
Triangles = 10 - 2
Triangles = 8
Other Properties:
Sides (Edges) = 10
Faces = 1
Vertices = 10
A = 17
P = 14.864232016434
Sides (Edges) = 10
Faces = 1
Vertices = 10
P = 14.864232016434
Sides (Edges) = 10
Faces = 1
Vertices = 10
