Long Diagonal of Hexagon given Height Calculator

✖The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.ⓘ Long Diagonal of Hexagon given Height [d_Long]

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Formula

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Long Diagonal of Hexagon given Height

Formula

`"d"_{"Long"} = 2/sqrt(3)*"h"`

Example

`"11.54701m"=2/sqrt(3)*"10m"`

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Long Diagonal of Hexagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon
d_Long = 2/sqrt(3)*h
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

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.
Height of Hexagon - (Measured in Meter) - The Height of Hexagon is the vertical distance from the bottom edge to the top edge of the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Height of Hexagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = 2/sqrt(3)*h --> 2/sqrt(3)*10

Evaluating ... ...

d_Long = 11.5470053837925

STEP 3: Convert Result to Output's Unit

11.5470053837925 Meter --> No Conversion Required

FINAL ANSWER

11.5470053837925 ≈ 11.54701 Meter <-- Long Diagonal of Hexagon

(Calculation completed in 00.004 seconds)

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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

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< 9 Long Diagonal of Hexagon Calculators

Long Diagonal of Hexagon given Area of Equilateral Triangle

Go Long Diagonal of Hexagon = sqrt((48*Area of Equilateral Triangle of Hexagon)/(3*sqrt(3)))

Long Diagonal of Hexagon given Area

Go Long Diagonal of Hexagon = sqrt((8*Area of Hexagon)/(3*sqrt(3)))

Long Diagonal of Hexagon given Short Diagonal

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

Long Diagonal of Hexagon given Inradius

Go Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon

Long Diagonal of Hexagon given Height

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

Long Diagonal of Hexagon given Circumradius

Go Long Diagonal of Hexagon = 2*Circumradius of Hexagon

Long Diagonal of Hexagon

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

Long Diagonal of Hexagon given Perimeter

Go Long Diagonal of Hexagon = Perimeter of Hexagon/3

Long Diagonal of Hexagon given Width

Go Long Diagonal of Hexagon = Width of Hexagon/1

Long Diagonal of Hexagon given Height Formula

Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon
d_Long = 2/sqrt(3)*h

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 Long Diagonal of Hexagon given Height?

Long Diagonal of Hexagon given Height calculator uses Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon to calculate the Long Diagonal of Hexagon, The Long Diagonal of Hexagon given Height formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the height of the Hexagon. Long Diagonal of Hexagon is denoted by d_Long symbol.

How to calculate Long Diagonal of Hexagon given Height using this online calculator? To use this online calculator for Long Diagonal of Hexagon given Height, enter Height of Hexagon (h) and hit the calculate button. Here is how the Long Diagonal of Hexagon given Height calculation can be explained with given input values -> 11.54701 = 2/sqrt(3)*10.

FAQ

What is Long Diagonal of Hexagon given Height?

The Long Diagonal of Hexagon given Height formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the height of the Hexagon and is represented as d_Long = 2/sqrt(3)*h or Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon. The Height of Hexagon is the vertical distance from the bottom edge to the top edge of the Hexagon.

How to calculate Long Diagonal of Hexagon given Height?

The Long Diagonal of Hexagon given Height formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the height of the Hexagon is calculated using Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon. To calculate Long Diagonal of Hexagon given Height, you need Height of Hexagon (h). With our tool, you need to enter the respective value for Height 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 Long Diagonal of Hexagon?

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

Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon
Long Diagonal of Hexagon = Perimeter of Hexagon/3
Long Diagonal of Hexagon = 2/sqrt(3)*Short Diagonal of Hexagon
Long Diagonal of Hexagon = sqrt((8*Area of Hexagon)/(3*sqrt(3)))
Long Diagonal of Hexagon = 2*Edge Length of Hexagon
Long Diagonal of Hexagon = 2*Circumradius of Hexagon
Long Diagonal of Hexagon = sqrt((48*Area of Equilateral Triangle of Hexagon)/(3*sqrt(3)))
Long Diagonal of Hexagon = Width of Hexagon/1

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