Short Diagonal of Hexagon given Long Diagonal 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 [d_Long]

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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 Long Diagonal [d_Short]

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Short Diagonal of Hexagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Hexagon = (sqrt(3)/2)*Long Diagonal of Hexagon
d_Short = (sqrt(3)/2)*d_Long
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.
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

d_Short = (sqrt(3)/2)*d_Long --> (sqrt(3)/2)*12

Evaluating ... ...

d_Short = 10.3923048454133

STEP 3: Convert Result to Output's Unit

10.3923048454133 Meter --> No Conversion Required

FINAL ANSWER

10.3923048454133 ≈ 10.3923 Meter <-- Short Diagonal of Hexagon

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Short Diagonal of Hexagon Calculators

Short Diagonal of Hexagon given Area

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

Short Diagonal of Hexagon given Long Diagonal

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

Short Diagonal of Hexagon given Perimeter

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

Short Diagonal of Hexagon

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

< Diagonals of Hexagon Calculators

Long Diagonal of Hexagon given Short Diagonal

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

Short Diagonal of Hexagon

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

Long Diagonal of Hexagon given Circumradius

LaTeX Go Long Diagonal of Hexagon = 2*Circumradius of Hexagon

Long Diagonal of Hexagon

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

Short Diagonal of Hexagon given Long Diagonal Formula

LaTeX Go

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

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 Short Diagonal of Hexagon given Long Diagonal?

Short Diagonal of Hexagon given Long Diagonal calculator uses Short Diagonal of Hexagon = (sqrt(3)/2)*Long Diagonal of Hexagon to calculate the Short Diagonal of Hexagon, The Short Diagonal of Hexagon given Long Diagonal 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, and calculated using the long diagonal of the Hexagon. Short Diagonal of Hexagon is denoted by d_Short symbol.

How to calculate Short Diagonal of Hexagon given Long Diagonal using this online calculator? To use this online calculator for Short Diagonal of Hexagon given Long Diagonal, enter Long Diagonal of Hexagon (d_Long) and hit the calculate button. Here is how the Short Diagonal of Hexagon given Long Diagonal calculation can be explained with given input values -> 10.3923 = (sqrt(3)/2)*12.

FAQ

What is Short Diagonal of Hexagon given Long Diagonal?

The Short Diagonal of Hexagon given Long Diagonal 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, and calculated using the long diagonal of the Hexagon and is represented as d_Short = (sqrt(3)/2)*d_Long or Short Diagonal of Hexagon = (sqrt(3)/2)*Long Diagonal of Hexagon. The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.

How to calculate Short Diagonal of Hexagon given Long Diagonal?

The Short Diagonal of Hexagon given Long Diagonal 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, and calculated using the long diagonal of the Hexagon is calculated using Short Diagonal of Hexagon = (sqrt(3)/2)*Long Diagonal of Hexagon. To calculate Short Diagonal of Hexagon given Long Diagonal, you need Long Diagonal of Hexagon (d_Long). 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 Short Diagonal of Hexagon?

In this formula, Short Diagonal of Hexagon uses Long Diagonal of Hexagon. We can use 3 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 = Perimeter of Hexagon/(2*sqrt(3))
Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*Area of Hexagon)

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