Edge Length 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 Edge Length of Hexagon is the length of any of the six edges of the Regular Hexagon, or the length of a particular side of Hexagon which is given in the problem.ⓘ Edge Length of Hexagon given Inradius [l_e]

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Edge Length of Hexagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3))
l_e = (2*r_i)/(sqrt(3))
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

Edge Length of Hexagon - (Measured in Meter) - The Edge Length of Hexagon is the length of any of the six edges of the Regular Hexagon, or the length of a particular side of Hexagon which is given in the problem.
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

l_e = (2*r_i)/(sqrt(3)) --> (2*5)/(sqrt(3))

Evaluating ... ...

l_e = 5.77350269189626

STEP 3: Convert Result to Output's Unit

5.77350269189626 Meter --> No Conversion Required

FINAL ANSWER

5.77350269189626 ≈ 5.773503 Meter <-- Edge Length of Hexagon

(Calculation completed in 00.006 seconds)

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< Edge Length of Hexagon Calculators

Edge Length of Hexagon given Area and Inradius

LaTeX Go Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon)

Edge Length of Hexagon given Short Diagonal

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

Edge Length of Hexagon given Long Diagonal

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

Edge Length of Hexagon given Width

LaTeX Go Edge Length of Hexagon = Width of Hexagon/2

< Edge Length of Hexagon Calculators

Edge Length of Hexagon given Area

LaTeX Go Edge Length of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon)

Edge Length of Hexagon given Inradius

LaTeX Go Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3))

Edge Length of Hexagon given Height

LaTeX Go Edge Length of Hexagon = Height of Hexagon/(sqrt(3))

Edge Length of Hexagon given Width

LaTeX Go Edge Length of Hexagon = Width of Hexagon/2

Edge Length of Hexagon given Inradius Formula

LaTeX Go

Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3))
l_e = (2*r_i)/(sqrt(3))

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 Edge Length of Hexagon given Inradius?

Edge Length of Hexagon given Inradius calculator uses Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3)) to calculate the Edge Length of Hexagon, The Edge Length of Hexagon given Inradius formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the inradius of the Hexagon. Edge Length of Hexagon is denoted by l_e symbol.

How to calculate Edge Length of Hexagon given Inradius using this online calculator? To use this online calculator for Edge Length of Hexagon given Inradius, enter Inradius of Hexagon (r_i) and hit the calculate button. Here is how the Edge Length of Hexagon given Inradius calculation can be explained with given input values -> 5.773503 = (2*5)/(sqrt(3)).

FAQ

What is Edge Length of Hexagon given Inradius?

The Edge Length of Hexagon given Inradius formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the inradius of the Hexagon and is represented as l_e = (2*r_i)/(sqrt(3)) or Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3)). 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 Edge Length of Hexagon given Inradius?

The Edge Length of Hexagon given Inradius formula is defined as the length of any of the six edges of the Regular Hexagon and calculated using the inradius of the Hexagon is calculated using Edge Length of Hexagon = (2*Inradius of Hexagon)/(sqrt(3)). To calculate Edge Length 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 Edge Length of Hexagon?

In this formula, Edge Length of Hexagon uses Inradius of Hexagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Hexagon = Area of Hexagon/(3*Inradius of Hexagon)
Edge Length of Hexagon = Width of Hexagon/2
Edge Length of Hexagon = Long Diagonal of Hexagon/2

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