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Perimeter of Pentagram given Pentagonal Edge Length Formula

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The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram. Check FAQs

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

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

Perimeter of Pentagram given Pentagonal Edge Length Example

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

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

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

61.8034 = \frac{10 \cdot 10}{1.618}

61.8034m = \frac{10 \cdot 10m}{1.618}

61.8034 = \frac{10 \cdot 10}{1.618}

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Perimeter of Pentagram given Pentagonal Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{10 \cdot 10m}{[phi]}

Next Step Substitute values of Constants

∴

P = \frac{10 \cdot 10m}{1.618}

Next Step Prepare to Evaluate

∴

P = \frac{10 \cdot 10}{1.618}

Next Step Evaluate

∴

P = 61.8033988749895m

LAST Step Rounding Answer

∴

P = 61.8034m

Perimeter of Pentagram given Pentagonal Edge Length Formula Elements

Variables

Constants

Perimeter of Pentagram

The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Pentagram

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

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 Perimeter of Pentagram

Go Perimeter of Pentagram

P = 10 \cdot l Long Chord Slice

Go Perimeter of Pentagram given Area

P = \frac{10}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

How to Evaluate Perimeter of Pentagram given Pentagonal Edge Length?

Perimeter of Pentagram given Pentagonal Edge Length evaluator uses Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi] to evaluate the Perimeter of Pentagram, The Perimeter of Pentagram given Pentagonal Edge Length formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the pentagonal edge length of the Pentagram. Perimeter of Pentagram is denoted by P symbol.

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

FAQs on Perimeter of Pentagram given Pentagonal Edge Length

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

The formula of Perimeter of Pentagram given Pentagonal Edge Length is expressed as Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi]. Here is an example- 61.8034 = (10*10)/[phi].

How to calculate Perimeter of Pentagram given Pentagonal Edge Length?

With Pentagonal Edge Length of Pentagram (l_e(Pentagon)) we can find Perimeter of Pentagram given Pentagonal Edge Length using the formula - Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi]. This formula also uses Golden ratio constant(s).

What are the other ways to Calculate Perimeter of Pentagram?

Here are the different ways to Calculate Perimeter of Pentagram-

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

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

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

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

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

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