Edge Length of Hexagon given Area and Inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon)
le = A/(3*ri)
This formula uses 3 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.
Area of Hexagon - (Measured in Square Meter) - The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.
Inradius of Hexagon - (Measured in Meter) - The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.
STEP 1: Convert Input(s) to Base Unit
Area of Hexagon: 95 Square Meter --> 95 Square Meter No Conversion Required
Inradius of Hexagon: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = A/(3*ri) --> 95/(3*5)
Evaluating ... ...
le = 6.33333333333333
STEP 3: Convert Result to Output's Unit
6.33333333333333 Meter --> No Conversion Required
FINAL ANSWER
6.33333333333333 Meter <-- Edge Length of Hexagon
(Calculation completed in 00.015 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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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
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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
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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 Area and Inradius Formula

Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon)
le = A/(3*ri)

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 Area and Inradius?

Edge Length of Hexagon given Area and Inradius calculator uses Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon) to calculate the Edge Length of Hexagon, The Edge Length of Hexagon given Area and Inradius formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the area and inradius of the Hexagon. Edge Length of Hexagon is denoted by le symbol.

How to calculate Edge Length of Hexagon given Area and Inradius using this online calculator? To use this online calculator for Edge Length of Hexagon given Area and Inradius, enter Area of Hexagon (A) & Inradius of Hexagon (ri) and hit the calculate button. Here is how the Edge Length of Hexagon given Area and Inradius calculation can be explained with given input values -> 6.333333 = 95/(3*5).

FAQ

What is Edge Length of Hexagon given Area and Inradius?
The Edge Length of Hexagon given Area and Inradius formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the area and inradius of the Hexagon and is represented as le = A/(3*ri) or Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon). The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon & The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.
How to calculate Edge Length of Hexagon given Area and Inradius?
The Edge Length of Hexagon given Area and Inradius formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the area and inradius of the Hexagon is calculated using Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon). To calculate Edge Length of Hexagon given Area and Inradius, you need Area of Hexagon (A) & Inradius of Hexagon (ri). With our tool, you need to enter the respective value for Area of Hexagon & Inradius 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 Area of Hexagon & Inradius of Hexagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Hexagon = Width of Hexagon/2
  • Edge Length of Hexagon = Long Diagonal 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
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