Height of Hexagon given Circumradius 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 [r_c]

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✖The Height of Hexagon is the vertical distance from the bottom edge to the top edge of the Hexagon.ⓘ Height of Hexagon given Circumradius [h]

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Height of Hexagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Hexagon: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(3)*r_c --> sqrt(3)*6

Evaluating ... ...

h = 10.3923048454133

STEP 3: Convert Result to Output's Unit

10.3923048454133 Meter --> No Conversion Required

FINAL ANSWER

10.3923048454133 ≈ 10.3923 Meter <-- Height 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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< Height of Hexagon Calculators

Height of Hexagon given Long Diagonal

LaTeX Go Height of Hexagon = sqrt(3)/2*Long Diagonal of Hexagon

Height of Hexagon given Circumradius

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

Height of Hexagon

LaTeX Go Height of Hexagon = sqrt(3)*Edge Length of Hexagon

Height of Hexagon given Inradius

LaTeX Go Height of Hexagon = 2*Inradius of Hexagon

< Height of Hexagon Calculators

Height of Hexagon given Perimeter

LaTeX Go Height of Hexagon = Perimeter of Hexagon/(2*sqrt(3))

Height of Hexagon given Circumradius

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

Height of Hexagon

LaTeX Go Height of Hexagon = sqrt(3)*Edge Length of Hexagon

Height of Hexagon given Inradius

LaTeX Go Height of Hexagon = 2*Inradius of Hexagon

Height of Hexagon given Circumradius Formula

LaTeX Go

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

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 Height of Hexagon given Circumradius?

Height of Hexagon given Circumradius calculator uses Height of Hexagon = sqrt(3)*Circumradius of Hexagon to calculate the Height of Hexagon, The Height of Hexagon given Circumradius formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Hexagon and calculated using the circumradius of the Hexagon. Height of Hexagon is denoted by h symbol.

How to calculate Height of Hexagon given Circumradius using this online calculator? To use this online calculator for Height of Hexagon given Circumradius, enter Circumradius of Hexagon (r_c) and hit the calculate button. Here is how the Height of Hexagon given Circumradius calculation can be explained with given input values -> 10.3923 = sqrt(3)*6.

FAQ

What is Height of Hexagon given Circumradius?

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

How to calculate Height of Hexagon given Circumradius?

The Height of Hexagon given Circumradius formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Hexagon and calculated using the circumradius of the Hexagon is calculated using Height of Hexagon = sqrt(3)*Circumradius of Hexagon. To calculate Height of Hexagon given Circumradius, you need Circumradius of Hexagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Height of Hexagon?

In this formula, Height of Hexagon uses Circumradius of Hexagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Hexagon = 2*Inradius of Hexagon
Height of Hexagon = sqrt(3)*Edge Length of Hexagon
Height of Hexagon = sqrt(3)/2*Long Diagonal of Hexagon

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