Short Diagonal 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 Short Diagonal of Hexagon is the length of the line joining any vertex of the Hexagon to one of the vertices which are next to adjacent vertices.ⓘ Short Diagonal of Hexagon given Area of Equilateral Triangle [d_Short]

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Formula

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Short Diagonal of Hexagon given Area of Equilateral Triangle

Formula

`"d"_{"Short"} = sqrt(((2*sqrt(3))/3)*6*"A"_{"Equilateral Triangle"})`

Example

`"10.19427m"=sqrt(((2*sqrt(3))/3)*6*"15m²")`

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Short Diagonal of Hexagon given Area of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*6*Area of Equilateral Triangle of Hexagon)
d_Short = sqrt(((2*sqrt(3))/3)*6*A_{Equilateral Triangle})
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

Short Diagonal of Hexagon - (Measured in Meter) - The Short Diagonal of Hexagon is the length of the line joining any vertex of the Hexagon to one of the vertices which are next to adjacent vertices.
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

d_Short = sqrt(((2*sqrt(3))/3)*6*A_{Equilateral Triangle}) --> sqrt(((2*sqrt(3))/3)*6*15)

Evaluating ... ...

d_Short = 10.1942654690827

STEP 3: Convert Result to Output's Unit

10.1942654690827 Meter --> No Conversion Required

FINAL ANSWER

10.1942654690827 ≈ 10.19427 Meter <-- Short Diagonal of Hexagon

(Calculation completed in 00.020 seconds)

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< 9 Short Diagonal of Hexagon Calculators

Short Diagonal of Hexagon given Area of Equilateral Triangle

Go Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*6*Area of Equilateral Triangle of Hexagon)

Short Diagonal of Hexagon given Area

Go Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*Area of Hexagon)

Short Diagonal of Hexagon given Long Diagonal

Go Short Diagonal of Hexagon = (sqrt(3)/2)*Long Diagonal of Hexagon

Short Diagonal of Hexagon given Circumradius

Go Short Diagonal of Hexagon = (sqrt(3))*Circumradius of Hexagon

Short Diagonal of Hexagon given Perimeter

Go Short Diagonal of Hexagon = Perimeter of Hexagon/(2*sqrt(3))

Short Diagonal of Hexagon

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

Short Diagonal of Hexagon given Width

Go Short Diagonal of Hexagon = sqrt(3)*Width of Hexagon/2

Short Diagonal of Hexagon given Inradius

Go Short Diagonal of Hexagon = 2*Inradius of Hexagon

Short Diagonal of Hexagon given Height

Go Short Diagonal of Hexagon = Height of Hexagon/1

Short Diagonal of Hexagon given Area of Equilateral Triangle Formula

Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*6*Area of Equilateral Triangle of Hexagon)
d_Short = sqrt(((2*sqrt(3))/3)*6*A_{Equilateral Triangle})

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 Short Diagonal of Hexagon given Area of Equilateral Triangle?

Short Diagonal of Hexagon given Area of Equilateral Triangle calculator uses Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*6*Area of Equilateral Triangle of Hexagon) to calculate the Short Diagonal of Hexagon, The Short Diagonal of Hexagon given Area of Equilateral Triangle formula is defined as the length of the line joining any vertex of the Regular Hexagon to one of the vertices which are next to adjacent vertices, calculated using the area of an equilateral triangle of the Hexagon. Short Diagonal of Hexagon is denoted by d_Short symbol.

How to calculate Short Diagonal of Hexagon given Area of Equilateral Triangle using this online calculator? To use this online calculator for Short Diagonal 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 Short Diagonal of Hexagon given Area of Equilateral Triangle calculation can be explained with given input values -> 10.19427 = sqrt(((2*sqrt(3))/3)*6*15).

FAQ

What is Short Diagonal of Hexagon given Area of Equilateral Triangle?

The Short Diagonal of Hexagon given Area of Equilateral Triangle formula is defined as the length of the line joining any vertex of the Regular Hexagon to one of the vertices which are next to adjacent vertices, calculated using the area of an equilateral triangle of the Hexagon and is represented as d_Short = sqrt(((2*sqrt(3))/3)*6*A_{Equilateral Triangle}) or Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*6*Area of Equilateral Triangle of Hexagon). Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

How to calculate Short Diagonal of Hexagon given Area of Equilateral Triangle?

The Short Diagonal of Hexagon given Area of Equilateral Triangle formula is defined as the length of the line joining any vertex of the Regular Hexagon to one of the vertices which are next to adjacent vertices, calculated using the area of an equilateral triangle of the Hexagon is calculated using Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*6*Area of Equilateral Triangle of Hexagon). To calculate Short Diagonal 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 Short Diagonal of Hexagon?

In this formula, Short Diagonal of Hexagon uses Area of Equilateral Triangle of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -

Short Diagonal of Hexagon = (sqrt(3))*Edge Length of Hexagon
Short Diagonal of Hexagon = (sqrt(3)/2)*Long Diagonal of Hexagon
Short Diagonal of Hexagon = Perimeter of Hexagon/(2*sqrt(3))
Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*Area of Hexagon)
Short Diagonal of Hexagon = 2*Inradius of Hexagon
Short Diagonal of Hexagon = (sqrt(3))*Circumradius of Hexagon
Short Diagonal of Hexagon = Height of Hexagon/1
Short Diagonal of Hexagon = sqrt(3)*Width of Hexagon/2

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