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Chord Length of Pentagram given Perimeter Formula

GoChord Length of Pentagram Formula

GoChord Length of Pentagram given Area Formula

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

l c = \frac{P}{10} \cdot (1 + [phi])

l_c - Chord Length of Pentagram?P - Perimeter of Pentagram?[phi] - Golden ratio?

Chord Length of Pentagram given Perimeter Example

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

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

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

15.7082 = \frac{60}{10} \cdot (1 + 1.618)

15.7082m = \frac{60m}{10} \cdot (1 + 1.618)

15.7082 = \frac{60}{10} \cdot (1 + 1.618)

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Chord Length of Pentagram given Perimeter Solution

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

FIRST Step Consider the formula

l c = \frac{P}{10} \cdot (1 + [phi])

Next Step Substitute values of Variables

∴

l c = \frac{60m}{10} \cdot (1 + [phi])

Next Step Substitute values of Constants

∴

l c = \frac{60m}{10} \cdot (1 + 1.618)

Next Step Prepare to Evaluate

∴

l c = \frac{60}{10} \cdot (1 + 1.618)

Next Step Evaluate

∴

l c = 15.7082039324994m

LAST Step Rounding Answer

∴

l c = 15.7082m

Chord Length of Pentagram given Perimeter Formula Elements

Variables

Constants

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

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 Chord Length of Pentagram

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

Other formulas in Chord Length of Pentagram category

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]}

Go Pentagonal Edge Length of Pentagram given Perimeter

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

How to Evaluate Chord Length of Pentagram given Perimeter?

Chord Length of Pentagram given Perimeter evaluator uses Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi]) to evaluate the Chord Length of Pentagram, The Chord Length of Pentagram given Perimeter formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and pentagonal edge length of the Pentagram. Chord Length of Pentagram is denoted by l_c symbol.

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

FAQs on Chord Length of Pentagram given Perimeter

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

The formula of Chord Length of Pentagram given Perimeter is expressed as Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi]). Here is an example- 15.7082 = 60/10*(1+[phi]).

How to calculate Chord Length of Pentagram given Perimeter?

With Perimeter of Pentagram (P) we can find Chord Length of Pentagram given Perimeter using the formula - Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi]). This formula also uses Golden ratio constant(s).

What are the other ways to Calculate Chord Length of Pentagram?

Here are the different ways to Calculate Chord Length of Pentagram-

Chord Length of Pentagram=[phi]*Pentagonal Edge Length of Pentagram
Chord Length of Pentagram=([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5)))))
Chord Length of Pentagram=Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram

Can the Chord Length of Pentagram given Perimeter be negative?

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

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

Chord 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 Chord Length of Pentagram given Perimeter can be measured.

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