Circumradius of Hexagon given Long Diagonal Calculator

✖The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.ⓘ Long Diagonal of Hexagon [d_Long]

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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 Long Diagonal [r_c]

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Circumradius of Hexagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexagon = Long Diagonal of Hexagon/2
r_c = d_Long/2
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.
Long Diagonal of Hexagon - (Measured in Meter) - The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Hexagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = d_Long/2 --> 12/2

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 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Circumradius of Hexagon Calculators

Circumradius of Hexagon given Area

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

Circumradius of Hexagon given Height

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

Circumradius of Hexagon given Long Diagonal

LaTeX Go Circumradius of Hexagon = Long Diagonal of Hexagon/2

Circumradius of Hexagon given Perimeter

LaTeX Go Circumradius of Hexagon = Perimeter of Hexagon/6

Circumradius of Hexagon given Long Diagonal Formula

LaTeX Go

Circumradius of Hexagon = Long Diagonal of Hexagon/2
r_c = d_Long/2

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 Long Diagonal?

Circumradius of Hexagon given Long Diagonal calculator uses Circumradius of Hexagon = Long Diagonal of Hexagon/2 to calculate the Circumradius of Hexagon, The Circumradius of Hexagon given Long Diagonal 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 long diagonal of the Hexagon. Circumradius of Hexagon is denoted by r_c symbol.

How to calculate Circumradius of Hexagon given Long Diagonal using this online calculator? To use this online calculator for Circumradius of Hexagon given Long Diagonal, enter Long Diagonal of Hexagon (d_Long) and hit the calculate button. Here is how the Circumradius of Hexagon given Long Diagonal calculation can be explained with given input values -> 6 = 12/2.

FAQ

What is Circumradius of Hexagon given Long Diagonal?

The Circumradius of Hexagon given Long Diagonal 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 long diagonal of the Hexagon and is represented as r_c = d_Long/2 or Circumradius of Hexagon = Long Diagonal of Hexagon/2. The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.

How to calculate Circumradius of Hexagon given Long Diagonal?

The Circumradius of Hexagon given Long Diagonal 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 long diagonal of the Hexagon is calculated using Circumradius of Hexagon = Long Diagonal of Hexagon/2. To calculate Circumradius of Hexagon given Long Diagonal, you need Long Diagonal of Hexagon (d_Long). With our tool, you need to enter the respective value for Long Diagonal 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 Long Diagonal of Hexagon. We can use 3 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 = Perimeter of Hexagon/6

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