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Pentagonal Edge Length of Pentagram given Perimeter 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{P \cdot [phi]}{10}

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

Pentagonal Edge Length of Pentagram given Perimeter Example

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

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

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

9.7082 = \frac{60 \cdot 1.618}{10}

9.7082m = \frac{60m \cdot 1.618}{10}

9.7082 = \frac{60 \cdot 1.618}{10}

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Pentagonal Edge Length of Pentagram given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Pentagon) = \frac{60m \cdot [phi]}{10}

Next Step Substitute values of Constants

∴

l e(Pentagon) = \frac{60m \cdot 1.618}{10}

Next Step Prepare to Evaluate

∴

l e(Pentagon) = \frac{60 \cdot 1.618}{10}

Next Step Evaluate

∴

l e(Pentagon) = 9.70820393249937m

LAST Step Rounding Answer

∴

l e(Pentagon) = 9.7082m

Pentagonal Edge Length of Pentagram given Perimeter 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

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

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 Chord Length

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

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 Perimeter?

Pentagonal Edge Length of Pentagram given Perimeter evaluator uses Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10 to evaluate the Pentagonal Edge Length of Pentagram, The Pentagonal Edge Length of Pentagram given Perimeter formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter of the Pentagram. Pentagonal Edge Length of Pentagram is denoted by l_e(Pentagon) symbol.

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

FAQs on Pentagonal Edge Length of Pentagram given Perimeter

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

The formula of Pentagonal Edge Length of Pentagram given Perimeter is expressed as Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10. Here is an example- 9.708204 = (60*[phi])/10.

How to calculate Pentagonal Edge Length of Pentagram given Perimeter?

With Perimeter of Pentagram (P) we can find Pentagonal Edge Length of Pentagram given Perimeter using the formula - Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10. 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=Chord Length of Pentagram/[phi]

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

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

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

Pentagonal Edge Length of Pentagram given Perimeter 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 Perimeter can be measured.

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