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Pentagonal Edge Length of Pentagram given Chord Length Formula

GoPentagonal Edge Length of Pentagram Formula

GoPentagonal Edge Length of Pentagram given Area Formula

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Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals. Check FAQs

l e(Pentagon) = \frac{l c}{[phi]}

l_e(Pentagon) - Pentagonal Edge Length of Pentagram?l_c - Chord Length of Pentagram?[phi] - Golden ratio?

Pentagonal Edge Length of Pentagram given Chord Length Example

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Here is how the Pentagonal Edge Length of Pentagram given Chord Length equation looks like with Values.

Here is how the Pentagonal Edge Length of Pentagram given Chord Length equation looks like with Units.

Here is how the Pentagonal Edge Length of Pentagram given Chord Length equation looks like.

9.8885 = \frac{16}{1.618}

9.8885m = \frac{16m}{1.618}

9.8885 = \frac{16}{1.618}

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Pentagonal Edge Length of Pentagram given Chord Length Solution

Follow our step by step solution on how to calculate Pentagonal Edge Length of Pentagram given Chord Length?

FIRST Step Consider the formula

l e(Pentagon) = \frac{l c}{[phi]}

Next Step Substitute values of Variables

∴

l e(Pentagon) = \frac{16m}{[phi]}

Next Step Substitute values of Constants

∴

l e(Pentagon) = \frac{16m}{1.618}

Next Step Prepare to Evaluate

∴

l e(Pentagon) = \frac{16}{1.618}

Next Step Evaluate

∴

l e(Pentagon) = 9.88854381999832m

LAST Step Rounding Answer

∴

l e(Pentagon) = 9.8885m

Pentagonal Edge Length of Pentagram given Chord Length Formula Elements

Variables

Constants

Pentagonal Edge Length of Pentagram

Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.

Symbol: l_e(Pentagon)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Edge Length of Pentagram

Chord Length of Pentagram

The Chord Length of Pentagram is the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length of Pentagram

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

Other Formulas to find Pentagonal Edge Length of Pentagram

Go Pentagonal Edge Length of Pentagram

l e(Pentagon) = l Long Chord Slice + l Short Chord Slice

Go Pentagonal Edge Length of Pentagram given Area

l e(Pentagon) = \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Go Pentagonal Edge Length of Pentagram given Perimeter

l e(Pentagon) = \frac{P \cdot [phi]}{10}

Other formulas in Edge Length of Pentagram category

Go Chord Length of Pentagram

l c = [phi] \cdot l e(Pentagon)

Go Chord Length of Pentagram given Area

l c = \frac{[phi] + 1}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Go Chord Length of Pentagram given Long Chord Slice

l c = l e(Pentagon) + l Long Chord Slice

Go Chord Length of Pentagram given Long Chord Slice and Short Chord Slice

l c = (2 \cdot l Long Chord Slice) + l Short Chord Slice

How to Evaluate Pentagonal Edge Length of Pentagram given Chord Length?

Pentagonal Edge Length of Pentagram given Chord Length evaluator uses Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi] to evaluate the Pentagonal Edge Length of Pentagram, The Pentagonal Edge Length of Pentagram given Chord Length formula is defined as the edge length of the regular pentagon from which the Pentagram is constructed using its diagonals and calculated using the chord length of the Pentagram. Pentagonal Edge Length of Pentagram is denoted by l_e(Pentagon) symbol.

How to evaluate Pentagonal Edge Length of Pentagram given Chord Length using this online evaluator? To use this online evaluator for Pentagonal Edge Length of Pentagram given Chord Length, enter Chord Length of Pentagram (l_c) and hit the calculate button.

FAQs on Pentagonal Edge Length of Pentagram given Chord Length

What is the formula to find Pentagonal Edge Length of Pentagram given Chord Length?

The formula of Pentagonal Edge Length of Pentagram given Chord Length is expressed as Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]. Here is an example- 9.888544 = 16/[phi].

How to calculate Pentagonal Edge Length of Pentagram given Chord Length?

With Chord Length of Pentagram (l_c) we can find Pentagonal Edge Length of Pentagram given Chord Length using the formula - Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]. This formula also uses Golden ratio constant(s).

What are the other ways to Calculate Pentagonal Edge Length of Pentagram?

Here are the different ways to Calculate Pentagonal Edge Length of Pentagram-

Pentagonal Edge Length of Pentagram=Long Chord Slice of Pentagram+Short Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram=sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
Pentagonal Edge Length of Pentagram=(Perimeter of Pentagram*[phi])/10

Can the Pentagonal Edge Length of Pentagram given Chord Length be negative?

No, the Pentagonal Edge Length of Pentagram given Chord Length, measured in Length cannot be negative.

Which unit is used to measure Pentagonal Edge Length of Pentagram given Chord Length?

Pentagonal Edge Length of Pentagram given Chord Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pentagonal Edge Length of Pentagram given Chord Length can be measured.

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