Answer
s = 10
P = 90
A = 618.18242014449
Interior Angle sum = 1260°
Diagonals = 27
1 vertex Diagonals = 6
Triangles = 7
Sides (Edges) = 9
Faces = 1
Vertices = 9
P = 90
A = 618.18242014449
Interior Angle sum = 1260°
Diagonals = 27
1 vertex Diagonals = 6
Triangles = 7
Sides (Edges) = 9
Faces = 1
Vertices = 9
↓Steps Explained:↓
The Side of a nonagon is 10
Calculate perimeter, area
Calculate Perimeter:
P = 9 x side
P = 9 x 10
P = 90
Calculate Area:
A = 9/4s2cot(180°/9)
A = 9/4(10)2cot(20)
A = 9/4(100)cot(20)
A = 225 x 2.7474774228644
A = 618.18242014449
Calculate Sum of the Interior Angles:
Interior Angle Sum = (sides - 2) x 180°
Interior Angle Sum = (9 - 2) x 180°
Interior Angle Sum = 7 x 180°
Interior Angle sum = 1260°
Calculate polygon diagonals
| Diagonals = | n(n - 3) |
| 2 |
| Diagonals = | 9(9 - 3) |
| 2 |
| Diagonals = | 9(6) |
| 2 |
| Diagonals = | 54 |
| 2 |
Diagonals = 27
Calculate 1 vertex diagonals:
1 vertex Diagonals = n - 3
1 vertex Diagonals = 9 - 3
1 vertex Diagonals = 6
Calculate triangles from one vertex:
Triangles = N - 2
Triangles = 9 - 2
Triangles = 7
Other Properties:
Sides (Edges) = 9
Faces = 1
Vertices = 9
Final Answers
s = 10P = 90
A = 618.18242014449
Interior Angle sum = 1260°
Diagonals = 27
1 vertex Diagonals = 6
Triangles = 7
Sides (Edges) = 9
Faces = 1
Vertices = 9
Related Calculators: Polygons | Heptagon | Octagon