Edge Length of Hexagon given Area of Equilateral Triangle Calculator

✖Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.ⓘ Area of Equilateral Triangle of Hexagon [A_{Equilateral Triangle}]

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✖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.ⓘ Edge Length of Hexagon given Area of Equilateral Triangle [l_e]

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Formula

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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))`

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Edge Length of Hexagon given Area of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*4/sqrt(3))
l_e = sqrt(A_{Equilateral Triangle}*4/sqrt(3))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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 Equilateral Triangle of Hexagon - (Measured in Square Meter) - Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Area of Equilateral Triangle of Hexagon: 15 Square Meter --> 15 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(A_{Equilateral Triangle}*4/sqrt(3)) --> sqrt(15*4/sqrt(3))

Evaluating ... ...

l_e = 5.88566191276542

STEP 3: Convert Result to Output's Unit

5.88566191276542 Meter --> No Conversion Required

FINAL ANSWER

5.88566191276542 ≈ 5.885662 Meter <-- Edge Length of Hexagon

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< 10+ Edge Length of Hexagon Calculators

Edge Length of Hexagon given Area of Equilateral Triangle

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

Edge Length of Hexagon given Area

Go Edge Length of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon)

Edge Length of Hexagon given Area and Inradius

Go Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon)

Edge Length of Hexagon given Short Diagonal

Go Edge Length of Hexagon = Short Diagonal of Hexagon/sqrt(3)

Edge Length of Hexagon given Inradius

Go Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3))

Edge Length of Hexagon given Height

Go Edge Length of Hexagon = Height of Hexagon/(sqrt(3))

Edge Length of Hexagon given Long Diagonal

Go Edge Length of Hexagon = Long Diagonal of Hexagon/2

Edge Length of Hexagon given Circumradius

Go Edge Length of Hexagon = Circumradius of Hexagon/1

Edge Length of Hexagon given Perimeter

Go Edge Length of Hexagon = Perimeter of Hexagon/6

Edge Length of Hexagon given Width

Go Edge Length of Hexagon = Width of Hexagon/2

Edge Length of Hexagon given Area of Equilateral Triangle Formula

Edge Length of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*4/sqrt(3))
l_e = sqrt(A_{Equilateral Triangle}*4/sqrt(3))

What is 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 of Equilateral Triangle?

Edge Length of Hexagon given Area of Equilateral Triangle calculator uses Edge Length of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*4/sqrt(3)) to calculate the Edge Length of Hexagon, The Edge Length of Hexagon given Area of Equilateral Triangle formula is defined as the length of any of the six edges of the Regular Hexagon, and calculated using area of equilateral triangle. Edge Length of Hexagon is denoted by l_e symbol.

How to calculate Edge Length of Hexagon given Area of Equilateral Triangle using this online calculator? To use this online calculator for Edge Length of Hexagon given Area of Equilateral Triangle, enter Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) and hit the calculate button. Here is how the Edge Length of Hexagon given Area of Equilateral Triangle calculation can be explained with given input values -> 5.885662 = sqrt(15*4/sqrt(3)).

FAQ

What is Edge Length of Hexagon given Area of Equilateral Triangle?

The Edge Length of Hexagon given Area of Equilateral Triangle formula is defined as the length of any of the six edges of the Regular Hexagon, and calculated using area of equilateral triangle and is represented as l_e = sqrt(A_{Equilateral Triangle}*4/sqrt(3)) or Edge Length of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*4/sqrt(3)). Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

How to calculate Edge Length of Hexagon given Area of Equilateral Triangle?

The Edge Length of Hexagon given Area of Equilateral Triangle formula is defined as the length of any of the six edges of the Regular Hexagon, and calculated using area of equilateral triangle is calculated using Edge Length of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*4/sqrt(3)). To calculate Edge Length of Hexagon given Area of Equilateral Triangle, you need Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}). With our tool, you need to enter the respective value for Area of Equilateral Triangle 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 Equilateral Triangle 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 = 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 = Circumradius of Hexagon/1

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