Short Diagonal of Hexagon given Circumradius Calculator

✖The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.ⓘ Circumradius of Hexagon [r_c]

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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 Circumradius [d_Short]

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Formula

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Short Diagonal of Hexagon given Circumradius

Formula

`"d"_{"Short"} = (sqrt(3))*"r"_{"c"}`

Example

`"10.3923m"=(sqrt(3))*"6m"`

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Short Diagonal of Hexagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Hexagon = (sqrt(3))*Circumradius of Hexagon
d_Short = (sqrt(3))*r_c
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.
Circumradius of Hexagon - (Measured in Meter) - The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Hexagon: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Short = (sqrt(3))*r_c --> (sqrt(3))*6

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 00.004 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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< 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 Circumradius Formula

Short Diagonal of Hexagon = (sqrt(3))*Circumradius of Hexagon
d_Short = (sqrt(3))*r_c

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 Circumradius?

Short Diagonal of Hexagon given Circumradius calculator uses Short Diagonal of Hexagon = (sqrt(3))*Circumradius of Hexagon to calculate the Short Diagonal of Hexagon, The Short Diagonal of Hexagon given Circumradius 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 circumradius of the Hexagon. Short Diagonal of Hexagon is denoted by d_Short symbol.

How to calculate Short Diagonal of Hexagon given Circumradius using this online calculator? To use this online calculator for Short Diagonal of Hexagon given Circumradius, enter Circumradius of Hexagon (r_c) and hit the calculate button. Here is how the Short Diagonal of Hexagon given Circumradius calculation can be explained with given input values -> 10.3923 = (sqrt(3))*6.

FAQ

What is Short Diagonal of Hexagon given Circumradius?

The Short Diagonal of Hexagon given Circumradius 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 circumradius of the Hexagon and is represented as d_Short = (sqrt(3))*r_c or Short Diagonal of Hexagon = (sqrt(3))*Circumradius of Hexagon. The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.

How to calculate Short Diagonal of Hexagon given Circumradius?

The Short Diagonal of Hexagon given Circumradius 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 circumradius of the Hexagon is calculated using Short Diagonal of Hexagon = (sqrt(3))*Circumradius of Hexagon. To calculate Short Diagonal of Hexagon given Circumradius, you need Circumradius of Hexagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius 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(((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

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