 # Nonagon area = 20

## Enter nonagon info:

The of an nonagon is

The area of a nonagon is 20
Calculate side, perimeter

## Calculate side:

A = 9/4s2cot(180°/9)
 s2  = 4A 9cot(180°/9)

 s2  = 4 x 20 9cot(20)

 s2  = 80 9 x 2.7474774228644

 s2  = 80 24.7273

s2 = 3.23529096724
s = √3.23529096724
s = 1.7986914597117

## Calculate Perimeter:

P = 9 x side
P = 9 x 1.7986914597117
P = 16.188223137406

## 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

A = 20
s = 1.7986914597117
P = 16.188223137406
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