Circumradius of Hexagon given Height Calculator

✖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 given Height [r_c]

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Formula

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Circumradius of Hexagon given Height

Formula

`"r"_{"c"} = "h"/(sqrt(3))`

Example

`"5.773503m"="10m"/(sqrt(3))`

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Circumradius of Hexagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexagon = Height of Hexagon/(sqrt(3))
r_c = h/(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

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.
Height of Hexagon - (Measured in Meter) - The Height of Hexagon is the vertical distance from the bottom edge to the top edge of the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Height of Hexagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = h/(sqrt(3)) --> 10/(sqrt(3))

Evaluating ... ...

r_c = 5.77350269189626

STEP 3: Convert Result to Output's Unit

5.77350269189626 Meter --> No Conversion Required

FINAL ANSWER

5.77350269189626 ≈ 5.773503 Meter <-- Circumradius of Hexagon

(Calculation completed in 00.020 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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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 given Height Formula

Circumradius of Hexagon = Height of Hexagon/(sqrt(3))
r_c = h/(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 Circumradius of Hexagon given Height?

Circumradius of Hexagon given Height calculator uses Circumradius of Hexagon = Height of Hexagon/(sqrt(3)) to calculate the Circumradius of Hexagon, The Circumradius of Hexagon given Height 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 calculated using the height of the Hexagon. Circumradius of Hexagon is denoted by r_c symbol.

How to calculate Circumradius of Hexagon given Height using this online calculator? To use this online calculator for Circumradius of Hexagon given Height, enter Height of Hexagon (h) and hit the calculate button. Here is how the Circumradius of Hexagon given Height calculation can be explained with given input values -> 5.773503 = 10/(sqrt(3)).

FAQ

What is Circumradius of Hexagon given Height?

The Circumradius of Hexagon given Height 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 calculated using the height of the Hexagon and is represented as r_c = h/(sqrt(3)) or Circumradius of Hexagon = Height of Hexagon/(sqrt(3)). The Height of Hexagon is the vertical distance from the bottom edge to the top edge of the Hexagon.

How to calculate Circumradius of Hexagon given Height?

The Circumradius of Hexagon given Height 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 calculated using the height of the Hexagon is calculated using Circumradius of Hexagon = Height of Hexagon/(sqrt(3)). To calculate Circumradius of Hexagon given Height, you need Height of Hexagon (h). With our tool, you need to enter the respective value for Height 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 Height 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 = 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 = Edge Length of Hexagon/1
Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3)
Circumradius of Hexagon = Edge Length of Hexagon/1
Circumradius of Hexagon = Width of Hexagon/2

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