The area of an decagon is 4

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 4
  5 x 3.0776835371753

s2  =  8
  15.388417685876

s2 = 0.51987151397265

s = √0.51987151397265

s = 0.72102116055817

Calculate Perimeter:

P = 10 x side

P = 10 x 0.72102116055817

P = 7.2102116055817

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 = 4
P = 7.2102116055817
Sides (Edges) = 10
Faces = 1
Vertices = 10


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What is the Answer?
A = 4
P = 7.2102116055817
Sides (Edges) = 10
Faces = 1
Vertices = 10
How does the Decagon Calculator work?
Free Decagon Calculator - Solves for the side, perimeter, and area of a decagon.
This calculator has 1 input.
What 1 formula is used for the Decagon Calculator?
P=10s
What 4 concepts are covered in the Decagon Calculator?
area
Number of square units covering the shape
decagon
10 sided polygon or 10-gon
perimeter
The distance around a shape or object
side
line segment joining two vertices in a polygon also known as an edge
Example calculations for the Decagon Calculator
Decagon Calculator Video

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