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Long Chord Slice of Pentagram Formula

GoLong Chord Slice of Pentagram given Area Formula

GoLong Chord Slice of Pentagram given Chord Length Formula

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The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram. Check FAQs

l Long Chord Slice = \frac{l e(Pentagon)}{[phi]}

l_{Long Chord Slice} - Long Chord Slice of Pentagram?l_e(Pentagon) - Pentagonal Edge Length of Pentagram?[phi] - Golden ratio?

Long Chord Slice of Pentagram Example

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Here is how the Long Chord Slice of Pentagram equation looks like with Values.

Here is how the Long Chord Slice of Pentagram equation looks like with Units.

Here is how the Long Chord Slice of Pentagram equation looks like.

6.1803 = \frac{10}{1.618}

6.1803m = \frac{10m}{1.618}

6.1803 = \frac{10}{1.618}

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Long Chord Slice of Pentagram Solution

Follow our step by step solution on how to calculate Long Chord Slice of Pentagram?

FIRST Step Consider the formula

l Long Chord Slice = \frac{l e(Pentagon)}{[phi]}

Next Step Substitute values of Variables

∴

l Long Chord Slice = \frac{10m}{[phi]}

Next Step Substitute values of Constants

∴

l Long Chord Slice = \frac{10m}{1.618}

Next Step Prepare to Evaluate

∴

l Long Chord Slice = \frac{10}{1.618}

Next Step Evaluate

∴

l Long Chord Slice = 6.18033988749895m

LAST Step Rounding Answer

∴

l Long Chord Slice = 6.1803m

Long Chord Slice of Pentagram Formula Elements

Variables

Constants

Long Chord Slice of Pentagram

The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram.

Symbol: l_{Long Chord Slice}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Chord Slice 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 Long Chord Slice of Pentagram

Go Long Chord Slice of Pentagram given Area

l Long Chord Slice = \frac{1}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Go Long Chord Slice of Pentagram given Chord Length

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

Go Long Chord Slice of Pentagram given Perimeter

l Long Chord Slice = \frac{P}{10}

Other formulas in Long Chord Slice of Pentagram category

Go Short Chord Slice of Pentagram

l Short Chord Slice = \frac{l e(Pentagon)}{{[phi]}^{2}}

Go Short Chord Slice of Pentagram given Area

l Short Chord Slice = \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{[phi]}^{2}}

Go Short Chord Slice of Pentagram given Chord Length

l Short Chord Slice = \frac{l c}{{[phi]}^{3}}

Go Short Chord Slice of Pentagram given Perimeter

l Short Chord Slice = \frac{P}{10 \cdot [phi]}

How to Evaluate Long Chord Slice of Pentagram?

Long Chord Slice of Pentagram evaluator uses Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi] to evaluate the Long Chord Slice of Pentagram, The Long Chord Slice of Pentagram formula is defined as the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram. Long Chord Slice of Pentagram is denoted by l_{Long Chord Slice} symbol.

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

FAQs on Long Chord Slice of Pentagram

What is the formula to find Long Chord Slice of Pentagram?

The formula of Long Chord Slice of Pentagram is expressed as Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]. Here is an example- 6.18034 = 10/[phi].

How to calculate Long Chord Slice of Pentagram?

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

What are the other ways to Calculate Long Chord Slice of Pentagram?

Here are the different ways to Calculate Long Chord Slice of Pentagram-

Long Chord Slice of Pentagram=1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
Long Chord Slice of Pentagram=Chord Length of Pentagram-Pentagonal Edge Length of Pentagram
Long Chord Slice of Pentagram=Perimeter of Pentagram/10

Can the Long Chord Slice of Pentagram be negative?

No, the Long Chord Slice of Pentagram, measured in Length cannot be negative.

Which unit is used to measure Long Chord Slice of Pentagram?

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

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