Nonagon area = 16 MathCelebrity logo Image to Crop

Enter nonagon info:

The area of a nonagon is 16

Calculate side, perimeter

Calculate side:

A = 9/4s2cot(180°/9)

s2  =  4A
  9cot(180°/9)

s2  =  4 x 16
  9cot(20)

s2  =  64
  9 x 2.7474774228644

s2  =  64
  24.727296805779

s2 = 2.588232773792

s = √2.588232773792

s = 1.6087985497855

Calculate Perimeter:

P = 9 x side

P = 9 x 1.6087985497855

P = 14.47918694807

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 = 16
s = 1.6087985497855
P = 14.47918694807
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 = 16
s = 1.6087985497855
P = 14.47918694807
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?

What 5 concepts are covered in the Nonagon Calculator?

areaNumber of square units covering the shapenonagon9 sided polygon or 9-gonperimeterThe distance around a shape or objectpolygonA plane figure bounded by a set of straight linessideline segment joining two vertices in a polygon also known as an edge

Example calculations for the Nonagon Calculator

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