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Short Chord Slice of Pentagram Formula

GoShort Chord Slice of Pentagram given Area Formula

GoShort Chord Slice of Pentagram given Chord Length Formula

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The Short Chord Slice of Pentagram is the edge length of the regular pentagon which form inside the Pentagram when all the chords are drawn. Check FAQs

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

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

Short Chord Slice of Pentagram Example

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

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

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

3.8197 = \frac{10}{{1.618}^{2}}

3.8197m = \frac{10m}{{1.618}^{2}}

3.8197 = \frac{10}{{1.618}^{2}}

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Short Chord Slice of Pentagram Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Short Chord Slice = \frac{10m}{{[phi]}^{2}}

Next Step Substitute values of Constants

∴

l Short Chord Slice = \frac{10m}{{1.618}^{2}}

Next Step Prepare to Evaluate

∴

l Short Chord Slice = \frac{10}{{1.618}^{2}}

Next Step Evaluate

∴

l Short Chord Slice = 3.81966011250105m

LAST Step Rounding Answer

∴

l Short Chord Slice = 3.8197m

Short Chord Slice of Pentagram Formula Elements

Variables

Constants

Short Chord Slice of Pentagram

The Short Chord Slice of Pentagram is the edge length of the regular pentagon which form inside the Pentagram when all the chords are drawn.

Symbol: l_{Short Chord Slice}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short 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 Short Chord Slice of Pentagram

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]}

Other formulas in Short Chord Slice of Pentagram category

Go Long Chord Slice of Pentagram

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

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}

How to Evaluate Short Chord Slice of Pentagram?

Short Chord Slice of Pentagram evaluator uses Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]^2 to evaluate the Short Chord Slice of Pentagram, The Short Chord Slice of Pentagram formula is defined as the edge length of the regular pentagon, which forms inside the Pentagram when all the chords are drawn. Short Chord Slice of Pentagram is denoted by l_{Short Chord Slice} symbol.

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

FAQs on Short Chord Slice of Pentagram

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

The formula of Short Chord Slice of Pentagram is expressed as Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]^2. Here is an example- 3.81966 = 10/[phi]^2.

How to calculate Short Chord Slice of Pentagram?

With Pentagonal Edge Length of Pentagram (l_e(Pentagon)) we can find Short Chord Slice of Pentagram using the formula - Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]^2. This formula also uses Golden ratio constant(s).

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

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

Short Chord Slice of Pentagram=sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))*1/[phi]^2
Short Chord Slice of Pentagram=Chord Length of Pentagram/[phi]^3
Short Chord Slice of Pentagram=Perimeter of Pentagram/(10*[phi])

Can the Short Chord Slice of Pentagram be negative?

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

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

Short 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 Short Chord Slice of Pentagram can be measured.

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