Inradius of Hexagon Calculator

✖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 [l_e]

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✖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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Formula

✖

Inradius of Hexagon

Formula

`"r"_{"i"} = sqrt(3)/2*"l"_{"e"}`

Example

`"5.196152m"=sqrt(3)/2*"6m"`

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Inradius of Hexagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Hexagon: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt(3)/2*l_e --> sqrt(3)/2*6

Evaluating ... ...

r_i = 5.19615242270663

STEP 3: Convert Result to Output's Unit

5.19615242270663 Meter --> No Conversion Required

FINAL ANSWER

5.19615242270663 ≈ 5.196152 Meter <-- Inradius of Hexagon

(Calculation completed in 00.006 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 9 Inradius of Hexagon Calculators

Inradius of Hexagon given Area of Equilateral Triangle

Go Inradius of Hexagon = sqrt(3*Area of Equilateral Triangle of Hexagon/sqrt(3))

Inradius of Hexagon given Area

Go Inradius of Hexagon = sqrt(Area of Hexagon/(2*sqrt(3)))

Inradius of Hexagon given Long Diagonal

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

Inradius of Hexagon given Circumradius

Go Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon

Inradius of Hexagon given Perimeter

Go Inradius of Hexagon = Perimeter of Hexagon/(4*sqrt(3))

Inradius of Hexagon

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

Inradius of Hexagon given Width

Go Inradius of Hexagon = sqrt(3)*Width of Hexagon/4

Inradius of Hexagon given Short Diagonal

Go Inradius of Hexagon = Short Diagonal of Hexagon/2

Inradius of Hexagon given Height

Go Inradius of Hexagon = Height of Hexagon/2

< 5 Radius of Hexagon Calculators

Inradius of Hexagon given Circumradius

Go Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon

Inradius of Hexagon

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

Circumradius of Hexagon given Height

Go Circumradius of Hexagon = Height of Hexagon/(sqrt(3))

Circumradius of Hexagon

Go Circumradius of Hexagon = Edge Length of Hexagon/1

Circumradius of Hexagon given Width

Go Circumradius of Hexagon = Width of Hexagon/2

Inradius of Hexagon Formula

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

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 Inradius of Hexagon?

Inradius of Hexagon calculator uses Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon to calculate the Inradius of Hexagon, The Inradius of Hexagon formula is defined as the radius of incircle of the Regular Hexagon or the circle that contained by the Hexagon with all edges touch the circle. Inradius of Hexagon is denoted by r_i symbol.

How to calculate Inradius of Hexagon using this online calculator? To use this online calculator for Inradius of Hexagon, enter Edge Length of Hexagon (l_e) and hit the calculate button. Here is how the Inradius of Hexagon calculation can be explained with given input values -> 5.196152 = sqrt(3)/2*6.

FAQ

What is Inradius of Hexagon?

The Inradius of Hexagon formula is defined as the radius of incircle of the Regular Hexagon or the circle that contained by the Hexagon with all edges touch the circle and is represented as r_i = sqrt(3)/2*l_e or Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon. 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.

How to calculate Inradius of Hexagon?

The Inradius of Hexagon formula is defined as the radius of incircle of the Regular Hexagon or the circle that contained by the Hexagon with all edges touch the circle is calculated using Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon. To calculate Inradius of Hexagon, you need Edge Length of Hexagon (l_e). With our tool, you need to enter the respective value for Edge Length 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 Inradius of Hexagon?

In this formula, Inradius of Hexagon uses Edge Length of Hexagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon
Inradius of Hexagon = Height of Hexagon/2
Inradius of Hexagon = sqrt(3)/4*Long Diagonal of Hexagon
Inradius of Hexagon = Short Diagonal of Hexagon/2
Inradius of Hexagon = Perimeter of Hexagon/(4*sqrt(3))
Inradius of Hexagon = sqrt(Area of Hexagon/(2*sqrt(3)))
Inradius of Hexagon = sqrt(3*Area of Equilateral Triangle of Hexagon/sqrt(3))
Inradius of Hexagon = sqrt(3)*Width of Hexagon/4
Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon

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