Circumradius of Hexagon given Perimeter Calculator

✖The Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.ⓘ Perimeter of Hexagon [P]

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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 Perimeter [r_c]

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Circumradius of Hexagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexagon = Perimeter of Hexagon/6
r_c = P/6
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.
Perimeter of Hexagon - (Measured in Meter) - The Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Hexagon: 36 Meter --> 36 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = P/6 --> 36/6

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 Mona Gladys

St Joseph's College (SJC), Bengaluru

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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 Perimeter Formula

LaTeX Go

Circumradius of Hexagon = Perimeter of Hexagon/6
r_c = P/6

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 Perimeter?

Circumradius of Hexagon given Perimeter calculator uses Circumradius of Hexagon = Perimeter of Hexagon/6 to calculate the Circumradius of Hexagon, The Circumradius of Hexagon given Perimeter 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 perimeter of the Hexagon. Circumradius of Hexagon is denoted by r_c symbol.

How to calculate Circumradius of Hexagon given Perimeter using this online calculator? To use this online calculator for Circumradius of Hexagon given Perimeter, enter Perimeter of Hexagon (P) and hit the calculate button. Here is how the Circumradius of Hexagon given Perimeter calculation can be explained with given input values -> 6 = 36/6.

FAQ

What is Circumradius of Hexagon given Perimeter?

The Circumradius of Hexagon given Perimeter 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 perimeter of the Hexagon and is represented as r_c = P/6 or Circumradius of Hexagon = Perimeter of Hexagon/6. The Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.

How to calculate Circumradius of Hexagon given Perimeter?

The Circumradius of Hexagon given Perimeter 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 perimeter of the Hexagon is calculated using Circumradius of Hexagon = Perimeter of Hexagon/6. To calculate Circumradius of Hexagon given Perimeter, you need Perimeter of Hexagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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 = Long Diagonal of Hexagon/2

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