Circumradius 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 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 Inradius [r_c]

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Formula

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Circumradius of Hexagon given Inradius

Formula

`"r"_{"c"} = 2*"r"_{"i"}/sqrt(3)`

Example

`"5.773503m"=2*"5m"/sqrt(3)`

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Circumradius of Hexagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

r_c = 2*r_i/sqrt(3) --> 2*5/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 00.004 seconds)

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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

Circumradius of Hexagon given Inradius Formula

Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3)
r_c = 2*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 Circumradius of Hexagon given Inradius?

Circumradius of Hexagon given Inradius calculator uses Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3) to calculate the Circumradius of Hexagon, The Circumradius of Hexagon given Inradius 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 inradius. Circumradius of Hexagon is denoted by r_c symbol.

How to calculate Circumradius of Hexagon given Inradius using this online calculator? To use this online calculator for Circumradius of Hexagon given Inradius, enter Inradius of Hexagon (r_i) and hit the calculate button. Here is how the Circumradius of Hexagon given Inradius calculation can be explained with given input values -> 5.773503 = 2*5/sqrt(3).

FAQ

What is Circumradius of Hexagon given Inradius?

The Circumradius of Hexagon given Inradius 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 inradius and is represented as r_c = 2*r_i/sqrt(3) or Circumradius of Hexagon = 2*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 Circumradius of Hexagon given Inradius?

The Circumradius of Hexagon given Inradius 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 inradius is calculated using Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3). To calculate Circumradius 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 Circumradius of Hexagon?

In this formula, Circumradius of Hexagon uses Inradius of Hexagon. We can use 8 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 = Edge Length of Hexagon/1

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