Edge Length of Hexagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Hexagon = Long Diagonal of Hexagon/2
le = dLong/2
This formula uses 2 Variables
Variables Used
Edge Length of Hexagon - (Measured in Meter) - The Edge Length of Hexagon is the length of any of the six edges of the Regular Hexagon, or the length of a particular side of Hexagon which is given in the problem.
Long Diagonal of Hexagon - (Measured in Meter) - The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.
STEP 1: Convert Input(s) to Base Unit
Long Diagonal of Hexagon: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = dLong/2 --> 12/2
Evaluating ... ...
le = 6
STEP 3: Convert Result to Output's Unit
6 Meter --> No Conversion Required
FINAL ANSWER
6 Meter <-- Edge Length of Hexagon
(Calculation completed in 00.000 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

10+ Edge Length of Hexagon Calculators

Edge Length of Hexagon given Area of Equilateral Triangle

Edge Length of Hexagon given Area of Equilateral Triangle

Formula
`"l"_{"e"} = sqrt("A"_{"Equilateral Triangle"}*4/sqrt(3))`

Example
`"5.885662m"=sqrt("15m²"*4/sqrt(3))`

Calculator
LaTeX
Go Edge Length of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*4/sqrt(3))
Edge Length of Hexagon given Area

Edge Length of Hexagon given Area

Formula
`"l"_{"e"} = sqrt((2/(3*sqrt(3)))*"A")`

Example
`"6.046943m"=sqrt((2/(3*sqrt(3)))*"95m²")`

Calculator
LaTeX
Go Edge Length of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon)
Edge Length of Hexagon given Area and Inradius

Edge Length of Hexagon given Area and Inradius

Formula
`"l"_{"e"} = "A"/(3*"r"_{"i"})`

Example
`"6.333333m"="95m²"/(3*"5m")`

Calculator
LaTeX
Go Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon)
Edge Length of Hexagon given Short Diagonal

Edge Length of Hexagon given Short Diagonal

Formula
`"l"_{"e"} = "d"_{"Short"}/sqrt(3)`

Example
`"5.773503m"="10m"/sqrt(3)`

Calculator
LaTeX
Go Edge Length of Hexagon = Short Diagonal of Hexagon/sqrt(3)
Edge Length of Hexagon given Inradius

Edge Length of Hexagon given Inradius

Formula
`"l"_{"e"} = (2*"r"_{"i"})/(sqrt(3))`

Example
`"5.773503m"=(2*"5m")/(sqrt(3))`

Calculator
LaTeX
Go Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3))
Edge Length of Hexagon given Height

Edge Length of Hexagon given Height

Formula
`"l"_{"e"} = "h"/(sqrt(3))`

Example
`"5.773503m"="10m"/(sqrt(3))`

Calculator
LaTeX
Go Edge Length of Hexagon = Height of Hexagon/(sqrt(3))
Edge Length of Hexagon given Long Diagonal

Edge Length of Hexagon given Long Diagonal

Formula
`"l"_{"e"} = "d"_{"Long"}/2`

Example
`"6m"="12m"/2`

Calculator
LaTeX
Go Edge Length of Hexagon = Long Diagonal of Hexagon/2
Edge Length of Hexagon given Circumradius

Edge Length of Hexagon given Circumradius

Formula
`"l"_{"e"} = "r"_{"c"}/1`

Example
`"6m"="6m"/1`

Calculator
LaTeX
Go Edge Length of Hexagon = Circumradius of Hexagon/1
Edge Length of Hexagon given Perimeter

Edge Length of Hexagon given Perimeter

Formula
`"l"_{"e"} = "P"/6`

Example
`"6m"="36m"/6`

Calculator
LaTeX
Go Edge Length of Hexagon = Perimeter of Hexagon/6
Edge Length of Hexagon given Width

Edge Length of Hexagon given Width

Formula
`"l"_{"e"} = "w"/2`

Example
`"6m"="12m"/2`

Calculator
LaTeX
Go Edge Length of Hexagon = Width of Hexagon/2

Edge Length of Hexagon given Long Diagonal Formula

Edge Length of Hexagon = Long Diagonal of Hexagon/2
le = dLong/2

What is a Hexagon?

A regular Hexagon is defined as a hexagon that is both equilateral and equiangular. Simply it is the six sided regular polygon. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle or circumcircle, which equals 2/sqrt(3) times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular Hexagon has six rotational symmetries.

How to Calculate Edge Length of Hexagon given Long Diagonal?

Edge Length of Hexagon given Long Diagonal calculator uses Edge Length of Hexagon = Long Diagonal of Hexagon/2 to calculate the Edge Length of Hexagon, The Edge Length of Hexagon given Long Diagonal formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the long diagonal of the Hexagon. Edge Length of Hexagon is denoted by le symbol.

How to calculate Edge Length of Hexagon given Long Diagonal using this online calculator? To use this online calculator for Edge Length of Hexagon given Long Diagonal, enter Long Diagonal of Hexagon (dLong) and hit the calculate button. Here is how the Edge Length of Hexagon given Long Diagonal calculation can be explained with given input values -> 6 = 12/2.

FAQ

What is Edge Length of Hexagon given Long Diagonal?
The Edge Length of Hexagon given Long Diagonal formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the long diagonal of the Hexagon and is represented as le = dLong/2 or Edge Length of Hexagon = Long Diagonal of Hexagon/2. The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.
How to calculate Edge Length of Hexagon given Long Diagonal?
The Edge Length of Hexagon given Long Diagonal formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the long diagonal of the Hexagon is calculated using Edge Length of Hexagon = Long Diagonal of Hexagon/2. To calculate Edge Length of Hexagon given Long Diagonal, you need Long Diagonal of Hexagon (dLong). With our tool, you need to enter the respective value for Long Diagonal of Hexagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Edge Length of Hexagon?
In this formula, Edge Length of Hexagon uses Long Diagonal of Hexagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon)
  • Edge Length of Hexagon = Width of Hexagon/2
  • Edge Length of Hexagon = Short Diagonal of Hexagon/sqrt(3)
  • Edge Length of Hexagon = Perimeter of Hexagon/6
  • Edge Length of Hexagon = Height of Hexagon/(sqrt(3))
  • Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3))
  • Edge Length of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon)
  • Edge Length of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*4/sqrt(3))
  • Edge Length of Hexagon = Circumradius of Hexagon/1
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!