The side of a nonagon is 16

Calculate perimeter, area

Calculate Perimeter:

P = 9 x side

P = 9 x 16

P = 144

Calculate Area:

A = 9/4s2cot(180°/9)

A = 9/4(16)2cot(20)

A = 9/4(256)cot(20)

A = 576 x 2.7474774228644

A = 1582.5469955699

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 = 16
P = 144
A = 1582.5469955699
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?
s = 16
P = 144
A = 1582.5469955699
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
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

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