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
dShort = (sqrt(3)/2)*dLong
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
dShort = (sqrt(3)/2)*dLong --> (sqrt(3)/2)*12
Evaluating ... ...
dShort = 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)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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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

6 Diagonals of Hexagon Calculators

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

Short Diagonal of Hexagon given Long Diagonal Formula

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

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 dShort 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 (dLong) 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 dShort = (sqrt(3)/2)*dLong 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 (dLong). 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 10 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)
  • Short Diagonal of Hexagon = 2*Inradius of Hexagon
  • Short Diagonal of Hexagon = (sqrt(3))*Circumradius of Hexagon
  • Short Diagonal of Hexagon = sqrt(((2*sqrt(3))/3)*6*Area of Equilateral Triangle of Hexagon)
  • Short Diagonal of Hexagon = Height of Hexagon/1
  • Short Diagonal of Hexagon = sqrt(3)*Width of Hexagon/2
  • Short Diagonal of Hexagon = (sqrt(3))*Edge Length of Hexagon
  • Short Diagonal of Hexagon = Perimeter of Hexagon/(2*sqrt(3))
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