The area of a nonagon is 4
Calculate side, perimeter
Calculate side:
A = 9/4s2cot(180°/9)
| s2 = | 4A |
| 9cot(180°/9) |
| s2 = | 4 x 4 |
| 9cot(20) |
| s2 = | 16 |
| 9 x 2.7474774228644 |
| s2 = | 16 |
| 24.727296805779 |
s2 = 0.64705819344799
s = √0.64705819344799
s = 0.80439927489276
Calculate Perimeter:
P = 9 x side
P = 9 x 0.80439927489276
P = 7.2395934740348
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
A = 4
s = 0.80439927489276
P = 7.2395934740348
Interior Angle sum = 1260°
Diagonals = 27
1 vertex Diagonals = 6
Triangles = 7
Sides (Edges) = 9
Faces = 1
Vertices = 9
s = 0.80439927489276
P = 7.2395934740348
Interior Angle sum = 1260°
Diagonals = 27
1 vertex Diagonals = 6
Triangles = 7
Sides (Edges) = 9
Faces = 1
Vertices = 9
What is the Answer?
A = 4
s = 0.80439927489276
P = 7.2395934740348
Interior Angle sum = 1260°
Diagonals = 27
1 vertex Diagonals = 6
Triangles = 7
Sides (Edges) = 9
Faces = 1
Vertices = 9
s = 0.80439927489276
P = 7.2395934740348
Interior Angle sum = 1260°
Diagonals = 27
1 vertex Diagonals = 6
Triangles = 7
Sides (Edges) = 9
Faces = 1
Vertices = 9
How does the Nonagon Calculator work?
Free Nonagon Calculator - Calculates the side, perimeter, and area of a nonagon
This calculator has 1 input.
This calculator has 1 input.
What 1 formula is used for the Nonagon Calculator?
P = 9s
What 5 concepts are covered in the Nonagon Calculator?
- area
- Number of square units covering the shape
- nonagon
- 9 sided polygon or 9-gon
- perimeter
- The distance around a shape or object
- polygon
- A plane figure bounded by a set of straight lines
- side
- line segment joining two vertices in a polygon also known as an edge
