Width 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 Width of Hexagon is the horizontal distance from the left most vertex to the right most vertex of the Hexagon.ⓘ Width of Hexagon given Inradius [w]

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Width of Hexagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Width of Hexagon - (Measured in Meter) - The Width of Hexagon is the horizontal distance from the left most vertex to the right most vertex 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

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

Evaluating ... ...

w = 11.5470053837925

STEP 3: Convert Result to Output's Unit

11.5470053837925 Meter --> No Conversion Required

FINAL ANSWER

11.5470053837925 ≈ 11.54701 Meter <-- Width of Hexagon

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< Width of Hexagon Calculators

Width of Hexagon given Height

LaTeX Go Width of Hexagon = 2*Height of Hexagon/sqrt(3)

Width of Hexagon given Circumradius

LaTeX Go Width of Hexagon = 2*Circumradius of Hexagon

Width of Hexagon

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

Width of Hexagon given Perimeter

LaTeX Go Width of Hexagon = Perimeter of Hexagon/3

Width of Hexagon given Inradius Formula

LaTeX Go

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

What is 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 Width of Hexagon given Inradius?

Width of Hexagon given Inradius calculator uses Width of Hexagon = 4*Inradius of Hexagon/sqrt(3) to calculate the Width of Hexagon, The Width of Hexagon given Inradius formula is defined as the horizontal distance from the left most vertex to the right most vertex of the Regular Hexagon, calculated using inradius. Width of Hexagon is denoted by w symbol.

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

FAQ

What is Width of Hexagon given Inradius?

The Width of Hexagon given Inradius formula is defined as the horizontal distance from the left most vertex to the right most vertex of the Regular Hexagon, calculated using inradius and is represented as w = 4*r_i/sqrt(3) or Width of Hexagon = 4*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 Width of Hexagon given Inradius?

The Width of Hexagon given Inradius formula is defined as the horizontal distance from the left most vertex to the right most vertex of the Regular Hexagon, calculated using inradius is calculated using Width of Hexagon = 4*Inradius of Hexagon/sqrt(3). To calculate Width 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 Width of Hexagon?

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

Width of Hexagon = Perimeter of Hexagon/3
Width of Hexagon = 2*Circumradius of Hexagon
Width of Hexagon = 2*Edge Length of Hexagon

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