Circumradius 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 Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.ⓘ Circumradius of Hexagon [r_c]

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Formula

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Circumradius of Hexagon

Formula

`"r"_{"c"} = "l"_{"e"}/1`

Example

`"6m"="6m"/1`

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Circumradius of Hexagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexagon = Edge Length of Hexagon/1
r_c = l_e/1
This formula uses 2 Variables

Variables Used

Circumradius of Hexagon - (Measured in Meter) - The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that 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_c = l_e/1 --> 6/1

Evaluating ... ...

r_c = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Circumradius of Hexagon

(Calculation completed in 00.020 seconds)

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Created by Divanshi Jain

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

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< 9 Circumradius of Hexagon Calculators

Circumradius of Hexagon given Area of Equilateral Triangle

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

Circumradius of Hexagon given Area

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

Circumradius of Hexagon given Short Diagonal

Go Circumradius of Hexagon = Short Diagonal of Hexagon/(sqrt(3))

Circumradius of Hexagon given Inradius

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

Circumradius of Hexagon given Height

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

Circumradius of Hexagon given Long Diagonal

Go Circumradius of Hexagon = Long Diagonal of Hexagon/2

Circumradius of Hexagon

Go Circumradius of Hexagon = Edge Length of Hexagon/1

Circumradius of Hexagon given Perimeter

Go Circumradius of Hexagon = Perimeter of Hexagon/6

Circumradius of Hexagon given Width

Go Circumradius of Hexagon = Width 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

Circumradius of Hexagon Formula

Circumradius of Hexagon = Edge Length of Hexagon/1
r_c = l_e/1

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 Circumradius of Hexagon?

Circumradius of Hexagon calculator uses Circumradius of Hexagon = Edge Length of Hexagon/1 to calculate the Circumradius of Hexagon, The Circumradius of Hexagon formula is defined as the radius of the circumcircle of the Regular Hexagon or the circle that contains the Hexagon with all vertices lying on that circle. Circumradius of Hexagon is denoted by r_c symbol.

How to calculate Circumradius of Hexagon using this online calculator? To use this online calculator for Circumradius of Hexagon, enter Edge Length of Hexagon (l_e) and hit the calculate button. Here is how the Circumradius of Hexagon calculation can be explained with given input values -> 6 = 6/1.

FAQ

What is Circumradius of Hexagon?

The Circumradius of Hexagon formula is defined as the radius of the circumcircle of the Regular Hexagon or the circle that contains the Hexagon with all vertices lying on that circle and is represented as r_c = l_e/1 or Circumradius of Hexagon = Edge Length of Hexagon/1. 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 Circumradius of Hexagon?

The Circumradius of Hexagon formula is defined as the radius of the circumcircle of the Regular Hexagon or the circle that contains the Hexagon with all vertices lying on that circle is calculated using Circumradius of Hexagon = Edge Length of Hexagon/1. To calculate Circumradius 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 Circumradius of Hexagon?

In this formula, Circumradius of Hexagon uses Edge Length of Hexagon. We can use 10 other way(s) to calculate the same, which is/are as follows -

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

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