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Chord Length of Pentagram given Area and Short Chord Slice Formula

GoChord Length of Pentagram Formula

GoChord Length of Pentagram given Long Chord Slice 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 = \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} + (l Short Chord Slice \cdot [phi])

l_c - Chord Length of Pentagram?A - Area of Pentagram?l_{Short Chord Slice} - Short Chord Slice of Pentagram?[phi] - Golden ratio?

Chord Length of Pentagram given Area and Short Chord Slice Example

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Here is how the Chord Length of Pentagram given Area and Short Chord Slice equation looks like with Values.

Here is how the Chord Length of Pentagram given Area and Short Chord Slice equation looks like with Units.

Here is how the Chord Length of Pentagram given Area and Short Chord Slice equation looks like.

16.3961 = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} + (4 \cdot 1.618)

16.3961m = \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} + (4m \cdot 1.618)

16.3961 = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} + (4 \cdot 1.618)

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Chord Length of Pentagram given Area and Short Chord Slice Solution

Follow our step by step solution on how to calculate Chord Length of Pentagram given Area and Short Chord Slice?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c = \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} + (4m \cdot [phi])

Next Step Substitute values of Constants

∴

l c = \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} + (4m \cdot 1.618)

Next Step Prepare to Evaluate

∴

l c = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} + (4 \cdot 1.618)

Next Step Evaluate

∴

l c = 16.3961408516937m

LAST Step Rounding Answer

∴

l c = 16.3961m

Chord Length of Pentagram given Area and Short Chord Slice Formula Elements

Variables

Constants

Functions

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

Area of Pentagram

The Area of Pentagram is the total quantity of plane enclosed by the boundary of the entire Pentagram shape.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagram

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Long Chord Slice

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

Go Chord Length of Pentagram given Perimeter

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

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}))}}}

How to Evaluate Chord Length of Pentagram given Area and Short Chord Slice?

Chord Length of Pentagram given Area and Short Chord Slice evaluator uses Chord Length of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))+(Short Chord Slice of Pentagram*[phi]) to evaluate the Chord Length of Pentagram, The Chord Length of Pentagram given Area and Short Chord Slice formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the area and short chord slice of the Pentagram. Chord Length of Pentagram is denoted by l_c symbol.

How to evaluate Chord Length of Pentagram given Area and Short Chord Slice using this online evaluator? To use this online evaluator for Chord Length of Pentagram given Area and Short Chord Slice, enter Area of Pentagram (A) & Short Chord Slice of Pentagram (l_{Short Chord Slice}) and hit the calculate button.

FAQs on Chord Length of Pentagram given Area and Short Chord Slice

What is the formula to find Chord Length of Pentagram given Area and Short Chord Slice?

The formula of Chord Length of Pentagram given Area and Short Chord Slice is expressed as Chord Length of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))+(Short Chord Slice of Pentagram*[phi]). Here is an example- 16.39614 = sqrt((2*80)/sqrt(5*(5-2*sqrt(5))))+(4*[phi]).

How to calculate Chord Length of Pentagram given Area and Short Chord Slice?

With Area of Pentagram (A) & Short Chord Slice of Pentagram (l_{Short Chord Slice}) we can find Chord Length of Pentagram given Area and Short Chord Slice using the formula - Chord Length of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))+(Short Chord Slice of Pentagram*[phi]). This formula also uses Golden ratio constant(s) and Square Root Function function(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=Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram
Chord Length of Pentagram=Perimeter of Pentagram/10*(1+[phi])

Can the Chord Length of Pentagram given Area and Short Chord Slice be negative?

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

Which unit is used to measure Chord Length of Pentagram given Area and Short Chord Slice?

Chord Length of Pentagram given Area and Short Chord Slice 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 Area and Short Chord Slice can be measured.

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Chord Length of Pentagram given Area and Short Chord Slice Formula

​GoChord Length of Pentagram Formula

​GoChord Length of Pentagram given Long Chord Slice Formula

Chord Length of Pentagram given Area and Short Chord Slice Example

Chord Length of Pentagram given Area and Short Chord Slice Solution

Chord Length of Pentagram given Area and Short Chord Slice Formula Elements

Other Formulas to find Chord Length of Pentagram

How to Evaluate Chord Length of Pentagram given Area and Short Chord Slice?

FAQs on Chord Length of Pentagram given Area and Short Chord Slice

Variable Name

GoChord Length of Pentagram Formula

GoChord Length of Pentagram given Long Chord Slice Formula