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The Area of an decagon is 8

Calculate side, perimeter

Calculate side:

A = 5/2s25 + 2√5

A = 2.5s2(3.0776835371753)

s2  =  2 x A
  5 x 3.0776835371753

s2  =  2 x 8
  5 x 3.0776835371753

s2  =  16
  15.388417685876

s2 = 1.0397430279453

s = √1.0397430279453

s = 1.0196779040194

Calculate Perimeter:

P = 10 x side

P = 10 x 1.0196779040194

P = 10.196779040194

Calculate Sum of the Interior Angles:

Interior Angle Sum = (sides - 2) x 180°

Interior Angle Sum = (10 - 2) x 180°

Interior Angle Sum = 8 x 180°

Interior Angle sum = 1440°

Calculate decagon diagonals

Diagonals  =  n(n - 3)
  2

Diagonals  =  10(10 - 3)
  2

Diagonals  =  10(7)
  2

Diagonals  =  70
  2

Diagonals = 35

Calculate diagonals from 1 vertex:

1 vertex Diagonals = n - 3

1 vertex Diagonals = 10 - 3

1 vertex Diagonals = 7

Calculate number of Δ from 1 vertex:

Triangles = N - 2

Triangles = 10 - 2

Triangles = 8

Other Properties:

Sides (Edges) = 10

Faces = 1

Vertices = 10


A = 8
P = 10.196779040194
Sides (Edges) = 10
Faces = 1
Vertices = 10