Hexagon Area = 16

Posted by Trudie Dory on Tuesday, June 4, 2024
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Enter hexagon info

Hexagon has Area (A) of of 16

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:
3√3s2
3√3

Cancel the right side numbers, we get:
s2  =  2A
  3√3

Plugging in our A = 16, we get:
s2  =  2(16)
  3√3

s2  =  32
  3√3

s2 = 6.158402871356

s = √6.158402871356

s = 2.4816129576056

Calculate Perimeter:

P = 6 x s

P = 6 x 2.4816129576056

P = 14.889677745634

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 = 16
s = 2.4816129576056
P = 14.889677745634
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6

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What is the Answer?

A = 16
s = 2.4816129576056
P = 14.889677745634
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6

How does the Hexagon Calculator work?

Free Hexagon Calculator - This calculator solves for side length (s), Area (A), and Perimeter (P) of a hexagon given one of the 3 entries.
This calculator has 1 input.

What 1 formula is used for the Hexagon Calculator?

What 5 concepts are covered in the Hexagon Calculator?

areaNumber of square units covering the shapehexagonsix sided figureperimeterThe 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 Hexagon Calculator

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