Height 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 Height of Hexagon is the vertical distance from the bottom edge to the top edge of the Hexagon.ⓘ Height of Hexagon given Long Diagonal [h]

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Height of Hexagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Hexagon = sqrt(3)/2*Long Diagonal of Hexagon
h = sqrt(3)/2*d_Long
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.
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

h = sqrt(3)/2*d_Long --> sqrt(3)/2*12

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 00.017 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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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 given Long Diagonal Formula

LaTeX Go

Height of Hexagon = sqrt(3)/2*Long Diagonal of Hexagon
h = sqrt(3)/2*d_Long

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 Long Diagonal?

Height of Hexagon given Long Diagonal calculator uses Height of Hexagon = sqrt(3)/2*Long Diagonal of Hexagon to calculate the Height of Hexagon, The Height of Hexagon given Long Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Hexagon and calculated using the long diagonal of the Hexagon. Height of Hexagon is denoted by h symbol.

How to calculate Height of Hexagon given Long Diagonal using this online calculator? To use this online calculator for Height of Hexagon given Long Diagonal, enter Long Diagonal of Hexagon (d_Long) and hit the calculate button. Here is how the Height of Hexagon given Long Diagonal calculation can be explained with given input values -> 10.3923 = sqrt(3)/2*12.

FAQ

What is Height of Hexagon given Long Diagonal?

The Height of Hexagon given Long Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Hexagon and calculated using the long diagonal of the Hexagon and is represented as h = sqrt(3)/2*d_Long or Height of Hexagon = sqrt(3)/2*Long Diagonal of Hexagon. The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.

How to calculate Height of Hexagon given Long Diagonal?

The Height of Hexagon given Long Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Hexagon and calculated using the long diagonal of the Hexagon is calculated using Height of Hexagon = sqrt(3)/2*Long Diagonal of Hexagon. To calculate Height 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 Height of Hexagon?

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

Height of Hexagon = sqrt(3)*Circumradius of Hexagon
Height of Hexagon = 2*Inradius of Hexagon
Height of Hexagon = sqrt(3)*Edge Length of Hexagon

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