The area of a nonagon is 9

Calculate side, perimeter

Calculate side:

A = 9/4s2cot(180°/9)

s2  =  4A
  9cot(180°/9)

s2  =  4 x 9
  9cot(20)

s2  =  36
  9 x 2.7474774228644

s2  =  36
  24.727296805779

s2 = 1.455880935258

s = √1.455880935258

s = 1.2065989123391

Calculate Perimeter:

P = 9 x side

P = 9 x 1.2065989123391

P = 10.859390211052

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 = 9
s = 1.2065989123391
P = 10.859390211052
Interior Angle sum = 1260°
Diagonals = 27
1 vertex Diagonals = 6
Triangles = 7
Sides (Edges) = 9
Faces = 1
Vertices = 9


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What is the Answer?
A = 9
s = 1.2065989123391
P = 10.859390211052
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.

What 1 formula is used for the Nonagon Calculator?

P = 9s

For more math formulas, check out our Formula Dossier

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
Example calculations for the Nonagon Calculator
  1. Nonagon side = 1
  2. Nonagon area = 1
  3. Nonagon perimeter = 1
  4. Nonagon side = 2
  5. Nonagon area = 2
  6. Nonagon perimeter = 2
  7. Nonagon side = 3
  8. Nonagon area = 3
  9. Nonagon perimeter = 3
  10. Nonagon side = 4
  11. Nonagon area = 4
  12. Nonagon perimeter = 4
  13. Nonagon side = 5
  14. Nonagon area = 5
  15. Nonagon perimeter = 5
  16. Nonagon side = 6
  17. Nonagon area = 6
  18. Nonagon perimeter = 6
  19. Nonagon side = 7
  20. Nonagon area = 7
  21. Nonagon perimeter = 7
  22. Nonagon side = 8
  23. Nonagon area = 8
  24. Nonagon perimeter = 8
  25. Nonagon side = 9
  26. Nonagon area = 9
  27. Nonagon perimeter = 9
  28. Nonagon side = 10
  29. Nonagon area = 10
  30. Nonagon perimeter = 10
  31. Nonagon side = 11
  32. Nonagon area = 11
  33. Nonagon perimeter = 11
  34. Nonagon side = 12
  35. Nonagon area = 12
  36. Nonagon perimeter = 12
  37. Nonagon side = 13
  38. Nonagon area = 13
  39. Nonagon perimeter = 13
  40. Nonagon side = 14
  41. Nonagon area = 14
  42. Nonagon perimeter = 14
  43. Nonagon side = 15
  44. Nonagon area = 15
  45. Nonagon perimeter = 15
  46. Nonagon side = 16
  47. Nonagon area = 16
  48. Nonagon perimeter = 16
  49. Nonagon side = 17
  50. Nonagon area = 17
  51. Nonagon perimeter = 17
  52. Nonagon side = 18
  53. Nonagon area = 18
  54. Nonagon perimeter = 18
  55. Nonagon side = 19
  56. Nonagon area = 19
  57. Nonagon perimeter = 19
  58. Nonagon side = 20
  59. Nonagon area = 20
  60. Nonagon perimeter = 20

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