Inradius of Hexagon given Perimeter 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 given Perimeter [r_i]

⎘ Copy

👎

Formula

✖

Inradius of Hexagon given Perimeter

Formula

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

Example

`"5.196152m"="36m"/(4*sqrt(3))`

Calculator

LaTeX

Reset

👍

Download Hexagon Formula PDF

Inradius of Hexagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Perimeter of Hexagon - (Measured in Meter) - The Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Hexagon: 36 Meter --> 36 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = P/(4*sqrt(3)) --> 36/(4*sqrt(3))

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 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Hexagon » Radius of Hexagon » Inradius of Hexagon » Inradius of Hexagon given Perimeter

Credits

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

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 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

Inradius of Hexagon given Perimeter Formula

Inradius of Hexagon = Perimeter of Hexagon/(4*sqrt(3))
r_i = P/(4*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 Inradius of Hexagon given Perimeter?

Inradius of Hexagon given Perimeter calculator uses Inradius of Hexagon = Perimeter of Hexagon/(4*sqrt(3)) to calculate the Inradius of Hexagon, The Inradius of Hexagon given Perimeter formula is defined as the radius of incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, and calculated using the perimeter of the Hexagon. Inradius of Hexagon is denoted by r_i symbol.

How to calculate Inradius of Hexagon given Perimeter using this online calculator? To use this online calculator for Inradius of Hexagon given Perimeter, enter Perimeter of Hexagon (P) and hit the calculate button. Here is how the Inradius of Hexagon given Perimeter calculation can be explained with given input values -> 5.196152 = 36/(4*sqrt(3)).

FAQ

What is Inradius of Hexagon given Perimeter?

The Inradius of Hexagon given Perimeter formula is defined as the radius of incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, and calculated using the perimeter of the Hexagon and is represented as r_i = P/(4*sqrt(3)) or Inradius of Hexagon = Perimeter of Hexagon/(4*sqrt(3)). The Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.

How to calculate Inradius of Hexagon given Perimeter?

The Inradius of Hexagon given Perimeter formula is defined as the radius of incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, and calculated using the perimeter of the Hexagon is calculated using Inradius of Hexagon = Perimeter of Hexagon/(4*sqrt(3)). To calculate Inradius of Hexagon given Perimeter, you need Perimeter of Hexagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Hexagon. We can use 8 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)/2*Edge Length of Hexagon
Inradius of Hexagon = sqrt(3)/4*Long Diagonal of Hexagon
Inradius of Hexagon = Short Diagonal of Hexagon/2
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

Home

FREE PDFs

🔍 Search