Area of Hexagram given Chord Length Calculator

✖The Chord Length of Hexagram is the short diagonal length of regular hexagon from which the Hexagram is constructed using it's short diagonals.ⓘ Chord Length of Hexagram [l_c]

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✖The Area of Hexagram is the total quantity of plane enclosed by the boundary of the Hexagram shape.ⓘ Area of Hexagram given Chord Length [A]

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Formula

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Area of Hexagram given Chord Length

Formula

`"A" = ("l"_{"c"}^2)/(sqrt(3))`

Example

`"129.9038m²"=(("15m")^2)/(sqrt(3))`

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Area of Hexagram given Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hexagram = (Chord Length of Hexagram^2)/(sqrt(3))
A = (l_c^2)/(sqrt(3))
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 Hexagram - (Measured in Square Meter) - The Area of Hexagram is the total quantity of plane enclosed by the boundary of the Hexagram shape.
Chord Length of Hexagram - (Measured in Meter) - The Chord Length of Hexagram is the short diagonal length of regular hexagon from which the Hexagram is constructed using it's short diagonals.

STEP 1: Convert Input(s) to Base Unit

Chord Length of Hexagram: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (l_c^2)/(sqrt(3)) --> (15^2)/(sqrt(3))

Evaluating ... ...

A = 129.903810567666

STEP 3: Convert Result to Output's Unit

129.903810567666 Square Meter --> No Conversion Required

FINAL ANSWER

129.903810567666 ≈ 129.9038 Square Meter <-- Area of Hexagram

(Calculation completed in 00.004 seconds)

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< 4 Area of Hexagram Calculators

Area of Hexagram given Hexagonal Edge Length

Go Area of Hexagram = sqrt(3)*Hexagonal Edge Length of Hexagram^2

Area of Hexagram

Go Area of Hexagram = 3*sqrt(3)*Chord Slice Length of Hexagram^2

Area of Hexagram given Chord Length

Go Area of Hexagram = (Chord Length of Hexagram^2)/(sqrt(3))

Area of Hexagram given Perimeter

Go Area of Hexagram = sqrt(3)/48*Perimeter of Hexagram^2

Area of Hexagram given Chord Length Formula

Area of Hexagram = (Chord Length of Hexagram^2)/(sqrt(3))
A = (l_c^2)/(sqrt(3))

What is a Hexagram?

A Hexagram is defined as a six petal star polygon, constructed from the short diagonals of a hexagon. Basically this shape consists of one regular hexagon and six identical equilateral triangles each having side length equal to the side length of that hexagon. And these triangles are joined on each side of that hexagon as spikes or petals to form a star shape, which is called Hexagram.

How to Calculate Area of Hexagram given Chord Length?

Area of Hexagram given Chord Length calculator uses Area of Hexagram = (Chord Length of Hexagram^2)/(sqrt(3)) to calculate the Area of Hexagram, The Area of Hexagram given Chord Length formula is defined as the total amount of plane enclosed by the boundary of the Hexagram and calculated using the chord length of the Hexagram. Area of Hexagram is denoted by A symbol.

How to calculate Area of Hexagram given Chord Length using this online calculator? To use this online calculator for Area of Hexagram given Chord Length, enter Chord Length of Hexagram (l_c) and hit the calculate button. Here is how the Area of Hexagram given Chord Length calculation can be explained with given input values -> 129.9038 = (15^2)/(sqrt(3)).

FAQ

What is Area of Hexagram given Chord Length?

The Area of Hexagram given Chord Length formula is defined as the total amount of plane enclosed by the boundary of the Hexagram and calculated using the chord length of the Hexagram and is represented as A = (l_c^2)/(sqrt(3)) or Area of Hexagram = (Chord Length of Hexagram^2)/(sqrt(3)). The Chord Length of Hexagram is the short diagonal length of regular hexagon from which the Hexagram is constructed using it's short diagonals.

How to calculate Area of Hexagram given Chord Length?

The Area of Hexagram given Chord Length formula is defined as the total amount of plane enclosed by the boundary of the Hexagram and calculated using the chord length of the Hexagram is calculated using Area of Hexagram = (Chord Length of Hexagram^2)/(sqrt(3)). To calculate Area of Hexagram given Chord Length, you need Chord Length of Hexagram (l_c). With our tool, you need to enter the respective value for Chord Length of 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 Hexagram?

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

Area of Hexagram = 3*sqrt(3)*Chord Slice Length of Hexagram^2
Area of Hexagram = sqrt(3)*Hexagonal Edge Length of Hexagram^2
Area of Hexagram = sqrt(3)/48*Perimeter of Hexagram^2

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