Hexagon has Area (A) of of 18
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 = 18, we get:
| s2 = | 2(18) |
| 3√3 |
| s2 = | 36 |
| 3√3 |
s2 = 6.9282032302755
s = √6.9282032302755
s = 2.632148025905
Calculate Perimeter:
P = 6 x s
P = 6 x 2.632148025905
P = 15.79288815543
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 = 18
s = 2.632148025905
P = 15.79288815543
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6
s = 2.632148025905
P = 15.79288815543
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6
What is the Answer?
A = 18
s = 2.632148025905
P = 15.79288815543
Interior Angle sum = 720°
Diagonals = 9
1 vertex Diagonals = 3
Triangles = 4
Sides (Edges) = 6
Faces = 1
Vertices = 6
s = 2.632148025905
P = 15.79288815543
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.
This calculator has 1 input.
What 1 formula is used for the Hexagon Calculator?
P=6s
What 5 concepts are covered in the Hexagon Calculator?
- area
- Number of square units covering the shape
- hexagon
- six sided figure
- 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
