Enter a value and then press the button of what measurement you entered

    

Answer
Success!
A = 2
s = 0.87738267530166
P = 5.26429605181
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6

↓Steps Explained:↓

Hexagon has Area (A) of of 2

calculate the side length (s) and Perimeter (P)

Calculate side length (s):

The formula for Area of a Hexagon is given below:

A  =  3√3s2
  2

Multiply each side by 2:

2A = 3√3s2

Divide each side by 3√3:

2A
3√3
=
  
3√3s2
3√3

Cancel the right side numbers, we get:

s2  =  2A
  3√3

Plugging in our A = 2, we get:

s2  =  2(2)
  3√3

s2  =  4
  3√3

s2 = 0.7698003589195

s = √0.7698003589195

s = 0.87738267530166

Calculate Perimeter:

P = 6 x s

P = 6 x 0.87738267530166

P = 5.26429605181

Calculate Sum of the Interior Angles:

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

Interior Angle Sum = (6 - 2) x 180°

Interior Angle Sum = 4 x 180°

Interior Angle sum = 720°

Calculate polygon diagonals

Diagonals  =  n(n - 3)
  2

Diagonals  =  6(6 - 3)
  2

Diagonals  =  6(3)
  2

Diagonals  =  18
  2

Diagonals = 9

Calculate 1 vertex diagonals:

1 vertex Diagonals = n - 3

1 vertex Diagonals = 6 - 3

1 vertex Diagonals = 3

Calculate triangles from one vertex:

Triangles = N - 2

Triangles = 6 - 2

Triangles = 4

Other Properties:

Sides (Edges) = 6

Faces = 1

Vertices = 6

Final Answers

A = 2
s = 0.87738267530166
P = 5.26429605181
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6
Take the Quiz


Related Calculators:  Polygons  |  Octagon  |  Nonagon