Area of Unicursal Hexagram given Long Diagonal Calculator

✖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 [d_Long]

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

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Area of Unicursal Hexagram given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Unicursal Hexagram = 5/6*sqrt(3)*(Long Diagonal of Unicursal Hexagram/2)^2
A = 5/6*sqrt(3)*(d_Long/2)^2
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Unicursal Hexagram: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 5/6*sqrt(3)*(d_Long/2)^2 --> 5/6*sqrt(3)*(20/2)^2

Evaluating ... ...

A = 144.337567297406

STEP 3: Convert Result to Output's Unit

144.337567297406 Square Meter --> No Conversion Required

FINAL ANSWER

144.337567297406 ≈ 144.3376 Square Meter <-- Area of Unicursal Hexagram

(Calculation completed in 00.004 seconds)

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< Area of Unicursal Hexagram Calculators

Area of Unicursal Hexagram given Sections of Long Diagonal and Short Diagonal

LaTeX Go Area of Unicursal Hexagram = ((Longest Section of SD of Unicursal Hexagram+Shortest Section of SD of Unicursal Hexagram)^2*sin(pi/3))+(2*Shortest Section of SD of Unicursal Hexagram*Section of Long Diagonal of Unicursal Hexagram)

Area of Unicursal Hexagram given Short Diagonal

LaTeX Go Area of Unicursal Hexagram = 5/6*sqrt(3)*(Short Diagonal of Unicursal Hexagram/sqrt(3))^2

Area of Unicursal Hexagram given Long Diagonal

LaTeX Go Area of Unicursal Hexagram = 5/6*sqrt(3)*(Long Diagonal of Unicursal Hexagram/2)^2

Area of Unicursal Hexagram

LaTeX Go Area of Unicursal Hexagram = 5/6*sqrt(3)*Edge Length of Unicursal Hexagram^2

Area of Unicursal Hexagram given Long Diagonal Formula

LaTeX Go

Area of Unicursal Hexagram = 5/6*sqrt(3)*(Long Diagonal of Unicursal Hexagram/2)^2
A = 5/6*sqrt(3)*(d_Long/2)^2

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 Area of Unicursal Hexagram given Long Diagonal?

Area of Unicursal Hexagram given Long Diagonal calculator uses Area of Unicursal Hexagram = 5/6*sqrt(3)*(Long Diagonal of Unicursal Hexagram/2)^2 to calculate the Area of Unicursal Hexagram, The Area of Unicursal Hexagram given Long Diagonal formula is defined as the total quantity of the region enclosed within the Unicursal Hexagram, calculated using its long diagonal. Area of Unicursal Hexagram is denoted by A symbol.

How to calculate Area of Unicursal Hexagram given Long Diagonal using this online calculator? To use this online calculator for Area of Unicursal Hexagram given Long Diagonal, enter Long Diagonal of Unicursal Hexagram (d_Long) and hit the calculate button. Here is how the Area of Unicursal Hexagram given Long Diagonal calculation can be explained with given input values -> 144.3376 = 5/6*sqrt(3)*(20/2)^2.

FAQ

What is Area of Unicursal Hexagram given Long Diagonal?

The Area of Unicursal Hexagram given Long Diagonal formula is defined as the total quantity of the region enclosed within the Unicursal Hexagram, calculated using its long diagonal and is represented as A = 5/6*sqrt(3)*(d_Long/2)^2 or Area of Unicursal Hexagram = 5/6*sqrt(3)*(Long Diagonal of Unicursal Hexagram/2)^2. Long Diagonal of Unicursal Hexagram is defined as the longest straight line joining two opposite corners of a Unicursal Hexagram through its vertex.

How to calculate Area of Unicursal Hexagram given Long Diagonal?

The Area of Unicursal Hexagram given Long Diagonal formula is defined as the total quantity of the region enclosed within the Unicursal Hexagram, calculated using its long diagonal is calculated using Area of Unicursal Hexagram = 5/6*sqrt(3)*(Long Diagonal of Unicursal Hexagram/2)^2. To calculate Area of Unicursal Hexagram given Long Diagonal, you need Long Diagonal of Unicursal Hexagram (d_Long). With our tool, you need to enter the respective value for Long Diagonal 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 Area of Unicursal Hexagram?

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

Area of Unicursal Hexagram = 5/6*sqrt(3)*Edge Length of Unicursal Hexagram^2
Area of Unicursal Hexagram = 5/6*sqrt(3)*(Short Diagonal of Unicursal Hexagram/sqrt(3))^2
Area of Unicursal Hexagram = ((Longest Section of SD of Unicursal Hexagram+Shortest Section of SD of Unicursal Hexagram)^2*sin(pi/3))+(2*Shortest Section of SD of Unicursal Hexagram*Section of Long Diagonal of Unicursal Hexagram)

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