Perimeter 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 Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.ⓘ Perimeter of Hexagon given Inradius [P]

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Formula

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Perimeter of Hexagon given Inradius

Formula

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

Example

`"34.64102m"=4*sqrt(3)*"5m"`

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Perimeter of Hexagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

P = 4*sqrt(3)*r_i --> 4*sqrt(3)*5

Evaluating ... ...

P = 34.6410161513775

STEP 3: Convert Result to Output's Unit

34.6410161513775 Meter --> No Conversion Required

FINAL ANSWER

34.6410161513775 ≈ 34.64102 Meter <-- Perimeter 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 Perimeter of Hexagon Calculators

Perimeter of Hexagon given Area of Equilateral Triangle

Go Perimeter of Hexagon = 6*sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon)

Perimeter of Hexagon given Area

Go Perimeter of Hexagon = sqrt(8*sqrt(3)*Area of Hexagon)

Perimeter of Hexagon given Short Diagonal

Go Perimeter of Hexagon = 2*sqrt(3)*Short Diagonal of Hexagon

Perimeter of Hexagon given Inradius

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

Perimeter of Hexagon given Height

Go Perimeter of Hexagon = 2*sqrt(3)*Height of Hexagon

Perimeter of Hexagon given Long Diagonal

Go Perimeter of Hexagon = 3*Long Diagonal of Hexagon

Perimeter of Hexagon given Circumradius

Go Perimeter of Hexagon = 6*Circumradius of Hexagon

Perimeter of Hexagon

Go Perimeter of Hexagon = 6*Edge Length of Hexagon

Perimeter of Hexagon given Width

Go Perimeter of Hexagon = 3*Width of Hexagon

Perimeter of Hexagon given Inradius Formula

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

Perimeter of Hexagon given Inradius calculator uses Perimeter of Hexagon = 4*sqrt(3)*Inradius of Hexagon to calculate the Perimeter of Hexagon, The Perimeter of Hexagon given Inradius formula is defined as the total length of all the boundary lines of the Regular Hexagon and calculated using the inradius of the Hexagon. Perimeter of Hexagon is denoted by P symbol.

How to calculate Perimeter of Hexagon given Inradius using this online calculator? To use this online calculator for Perimeter of Hexagon given Inradius, enter Inradius of Hexagon (r_i) and hit the calculate button. Here is how the Perimeter of Hexagon given Inradius calculation can be explained with given input values -> 34.64102 = 4*sqrt(3)*5.

FAQ

What is Perimeter of Hexagon given Inradius?

The Perimeter of Hexagon given Inradius formula is defined as the total length of all the boundary lines of the Regular Hexagon and calculated using the inradius of the Hexagon and is represented as P = 4*sqrt(3)*r_i or Perimeter 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 Perimeter of Hexagon given Inradius?

The Perimeter of Hexagon given Inradius formula is defined as the total length of all the boundary lines of the Regular Hexagon and calculated using the inradius of the Hexagon is calculated using Perimeter of Hexagon = 4*sqrt(3)*Inradius of Hexagon. To calculate Perimeter 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 Perimeter of Hexagon?

In this formula, Perimeter of Hexagon uses Inradius of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -

Perimeter of Hexagon = 3*Long Diagonal of Hexagon
Perimeter of Hexagon = 2*sqrt(3)*Short Diagonal of Hexagon
Perimeter of Hexagon = sqrt(8*sqrt(3)*Area of Hexagon)
Perimeter of Hexagon = 2*sqrt(3)*Height of Hexagon
Perimeter of Hexagon = 6*Circumradius of Hexagon
Perimeter of Hexagon = 3*Width of Hexagon
Perimeter of Hexagon = 6*Edge Length of Hexagon
Perimeter of Hexagon = 6*sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon)

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