Long Diagonal of Hexagon given Inradius Calculator

✖The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.ⓘ Inradius of Hexagon [r_i]

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✖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 Inradius [d_Long]

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Formula

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Long Diagonal of Hexagon given Inradius

Formula

`"d"_{"Long"} = 4/sqrt(3)*"r"_{"i"}`

Example

`"11.54701m"=4/sqrt(3)*"5m"`

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Long Diagonal of Hexagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon
d_Long = 4/sqrt(3)*r_i
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.
Inradius of Hexagon - (Measured in Meter) - The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Hexagon: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = 4/sqrt(3)*r_i --> 4/sqrt(3)*5

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

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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 Inradius Formula

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

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 Inradius?

Long Diagonal of Hexagon given Inradius calculator uses Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon to calculate the Long Diagonal of Hexagon, The Long Diagonal of Hexagon given Inradius formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the inradius of the Hexagon. Long Diagonal of Hexagon is denoted by d_Long symbol.

How to calculate Long Diagonal of Hexagon given Inradius using this online calculator? To use this online calculator for Long Diagonal of Hexagon given Inradius, enter Inradius of Hexagon (r_i) and hit the calculate button. Here is how the Long Diagonal of Hexagon given Inradius calculation can be explained with given input values -> 11.54701 = 4/sqrt(3)*5.

FAQ

What is Long Diagonal of Hexagon given Inradius?

The Long Diagonal of Hexagon given Inradius formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the inradius of the Hexagon and is represented as d_Long = 4/sqrt(3)*r_i or Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon. The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.

How to calculate Long Diagonal of Hexagon given Inradius?

The Long Diagonal of Hexagon given Inradius formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the inradius of the Hexagon is calculated using Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon. To calculate Long Diagonal of Hexagon given Inradius, you need Inradius of Hexagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -

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