Long Diagonal of Unicursal Hexagram given Area Calculator

✖The Area of Unicursal Hexagram is defined as the total quantity of the region enclosed within the Unicursal Hexagram.ⓘ Area of Unicursal Hexagram [A]

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✖Long Diagonal of Unicursal Hexagram is defined as the longest straight line joining two opposite corners of a Unicursal Hexagram through its vertex.ⓘ Long Diagonal of Unicursal Hexagram given Area [d_Long]

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Formula

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Long Diagonal of Unicursal Hexagram given Area

Formula

`"d"_{"Long"} = sqrt(24/(5*sqrt(3))*"A")`

Example

`"20.04584m"=sqrt(24/(5*sqrt(3))*"145m²")`

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Long Diagonal of Unicursal Hexagram given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Unicursal Hexagram = sqrt(24/(5*sqrt(3))*Area of Unicursal Hexagram)
d_Long = sqrt(24/(5*sqrt(3))*A)
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

Long Diagonal of Unicursal Hexagram - (Measured in Meter) - Long Diagonal of Unicursal Hexagram is defined as the longest straight line joining two opposite corners of a Unicursal Hexagram through its vertex.
Area of Unicursal Hexagram - (Measured in Square Meter) - The Area of Unicursal Hexagram is defined as the total quantity of the region enclosed within the Unicursal Hexagram.

STEP 1: Convert Input(s) to Base Unit

Area of Unicursal Hexagram: 145 Square Meter --> 145 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = sqrt(24/(5*sqrt(3))*A) --> sqrt(24/(5*sqrt(3))*145)

Evaluating ... ...

d_Long = 20.04584214634

STEP 3: Convert Result to Output's Unit

20.04584214634 Meter --> No Conversion Required

FINAL ANSWER

20.04584214634 ≈ 20.04584 Meter <-- Long Diagonal of Unicursal Hexagram

(Calculation completed in 00.004 seconds)

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< 8 Long Diagonal of Unicursal Hexagram Calculators

Long Diagonal of Unicursal Hexagram given Area

Go Long Diagonal of Unicursal Hexagram = sqrt(24/(5*sqrt(3))*Area of Unicursal Hexagram)

Long Diagonal of Unicursal Hexagram given Shortest Section of Short Diagonal

Go Long Diagonal of Unicursal Hexagram = 12*Shortest Section of SD of Unicursal Hexagram/sqrt(3)

Long Diagonal of Unicursal Hexagram given Longest Section of Short Diagonal

Go Long Diagonal of Unicursal Hexagram = (4*Longest Section of SD of Unicursal Hexagram)/sqrt(3)

Long Diagonal of Unicursal Hexagram given Medium Section of Short Diagonal

Go Long Diagonal of Unicursal Hexagram = 6*Medium Section of SD of Unicursal Hexagram/sqrt(3)

Long Diagonal of Unicursal Hexagram given Perimeter

Go Long Diagonal of Unicursal Hexagram = (2*Perimeter of Unicursal Hexagram)/(2+10/sqrt(3))

Long Diagonal of Unicursal Hexagram given Short Diagonal

Go Long Diagonal of Unicursal Hexagram = 2*Short Diagonal of Unicursal Hexagram/sqrt(3)

Long Diagonal of Unicursal Hexagram given Long Diagonal Sections

Go Long Diagonal of Unicursal Hexagram = 4*Section of Long Diagonal of Unicursal Hexagram

Long Diagonal of Unicursal Hexagram

Go Long Diagonal of Unicursal Hexagram = 2*Edge Length of Unicursal Hexagram

Long Diagonal of Unicursal Hexagram given Area Formula

Long Diagonal of Unicursal Hexagram = sqrt(24/(5*sqrt(3))*Area of Unicursal Hexagram)
d_Long = sqrt(24/(5*sqrt(3))*A)

What is Unicursal Hexagram?

A Unicursal Hexagram is a hexagram or six-pointed star that can be traced or drawn unicursal, in one continuous line rather than by two overlaid triangles. The hexagram can also be depicted inside a circle with the points touching it. It differs from the standard hexagram as the symbol has equidistant points but the lines are not of the same length.

How to Calculate Long Diagonal of Unicursal Hexagram given Area?

Long Diagonal of Unicursal Hexagram given Area calculator uses Long Diagonal of Unicursal Hexagram = sqrt(24/(5*sqrt(3))*Area of Unicursal Hexagram) to calculate the Long Diagonal of Unicursal Hexagram, The Long Diagonal of Unicursal Hexagram given Area formula is defined as the length of the longest line joining the vertices and passing through the center of the Unicursal Hexagram, calculated using the area of the Unicursal Hexagram. Long Diagonal of Unicursal Hexagram is denoted by d_Long symbol.

How to calculate Long Diagonal of Unicursal Hexagram given Area using this online calculator? To use this online calculator for Long Diagonal of Unicursal Hexagram given Area, enter Area of Unicursal Hexagram (A) and hit the calculate button. Here is how the Long Diagonal of Unicursal Hexagram given Area calculation can be explained with given input values -> 20.04584 = sqrt(24/(5*sqrt(3))*145).

FAQ

What is Long Diagonal of Unicursal Hexagram given Area?

The Long Diagonal of Unicursal Hexagram given Area formula is defined as the length of the longest line joining the vertices and passing through the center of the Unicursal Hexagram, calculated using the area of the Unicursal Hexagram and is represented as d_Long = sqrt(24/(5*sqrt(3))*A) or Long Diagonal of Unicursal Hexagram = sqrt(24/(5*sqrt(3))*Area of Unicursal Hexagram). The Area of Unicursal Hexagram is defined as the total quantity of the region enclosed within the Unicursal Hexagram.

How to calculate Long Diagonal of Unicursal Hexagram given Area?

The Long Diagonal of Unicursal Hexagram given Area formula is defined as the length of the longest line joining the vertices and passing through the center of the Unicursal Hexagram, calculated using the area of the Unicursal Hexagram is calculated using Long Diagonal of Unicursal Hexagram = sqrt(24/(5*sqrt(3))*Area of Unicursal Hexagram). To calculate Long Diagonal of Unicursal Hexagram given Area, you need Area of Unicursal Hexagram (A). With our tool, you need to enter the respective value for Area of Unicursal Hexagram 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 Long Diagonal of Unicursal Hexagram?

In this formula, Long Diagonal of Unicursal Hexagram uses Area of Unicursal Hexagram. We can use 7 other way(s) to calculate the same, which is/are as follows -

Long Diagonal of Unicursal Hexagram = 2*Edge Length of Unicursal Hexagram
Long Diagonal of Unicursal Hexagram = 4*Section of Long Diagonal of Unicursal Hexagram
Long Diagonal of Unicursal Hexagram = (4*Longest Section of SD of Unicursal Hexagram)/sqrt(3)
Long Diagonal of Unicursal Hexagram = 12*Shortest Section of SD of Unicursal Hexagram/sqrt(3)
Long Diagonal of Unicursal Hexagram = 6*Medium Section of SD of Unicursal Hexagram/sqrt(3)
Long Diagonal of Unicursal Hexagram = 2*Short Diagonal of Unicursal Hexagram/sqrt(3)
Long Diagonal of Unicursal Hexagram = (2*Perimeter of Unicursal Hexagram)/(2+10/sqrt(3))

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