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Pentagonal Edge Length of Base of Star Pyramid given Chord Length Formula

GoPentagonal Edge Length of Base of Star Pyramid Formula

GoPentagonal Edge Length of Base of Star Pyramid given Ridge Length Formula

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Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed. Check FAQs

l e(Pentagon) = \frac{l c}{{[phi]}^{2}}

l_e(Pentagon) - Pentagonal Edge Length of Base of Star Pyramid?l_c - Chord Length of Star Pyramid?[phi] - Golden ratio?

Pentagonal Edge Length of Base of Star Pyramid given Chord Length Example

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Here is how the Pentagonal Edge Length of Base of Star Pyramid given Chord Length equation looks like with Values.

Here is how the Pentagonal Edge Length of Base of Star Pyramid given Chord Length equation looks like with Units.

Here is how the Pentagonal Edge Length of Base of Star Pyramid given Chord Length 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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Pentagonal Edge Length of Base of Star Pyramid given Chord Length Solution

Follow our step by step solution on how to calculate Pentagonal Edge Length of Base of Star Pyramid given Chord Length?

FIRST Step Consider the formula

l e(Pentagon) = \frac{l c}{{[phi]}^{2}}

Next Step Substitute values of Variables

∴

l e(Pentagon) = \frac{10m}{{[phi]}^{2}}

Next Step Substitute values of Constants

∴

l e(Pentagon) = \frac{10m}{{1.618}^{2}}

Next Step Prepare to Evaluate

∴

l e(Pentagon) = \frac{10}{{1.618}^{2}}

Next Step Evaluate

∴

l e(Pentagon) = 3.81966011250105m

LAST Step Rounding Answer

∴

l e(Pentagon) = 3.8197m

Pentagonal Edge Length of Base of Star Pyramid given Chord Length Formula Elements

Variables

Constants

Pentagonal Edge Length of Base of Star Pyramid

Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.

Symbol: l_e(Pentagon)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Edge Length of Base of Star Pyramid

Chord Length of Star Pyramid

Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length of Star Pyramid

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 Base of Star Pyramid

Go Pentagonal Edge Length of Base of Star Pyramid

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

Go Pentagonal Edge Length of Base of Star Pyramid given Ridge Length

l e(Pentagon) = \sqrt{\frac{({l e(Ridge)}^{2} - h^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

Go Pentagonal Edge Length of Base of Star Pyramid given Volume

l e(Pentagon) = \frac{\sqrt{\frac{6 \cdot V}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot h}}}{{[phi]}^{2}}

How to Evaluate Pentagonal Edge Length of Base of Star Pyramid given Chord Length?

Pentagonal Edge Length of Base of Star Pyramid given Chord Length evaluator uses Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2 to evaluate the Pentagonal Edge Length of Base of Star Pyramid, Pentagonal Edge Length of Base of Star Pyramid given Chord Length formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the chord length of the Star Pyramid. Pentagonal Edge Length of Base of Star Pyramid is denoted by l_e(Pentagon) symbol.

How to evaluate Pentagonal Edge Length of Base of Star Pyramid given Chord Length using this online evaluator? To use this online evaluator for Pentagonal Edge Length of Base of Star Pyramid given Chord Length, enter Chord Length of Star Pyramid (l_c) and hit the calculate button.

FAQs on Pentagonal Edge Length of Base of Star Pyramid given Chord Length

What is the formula to find Pentagonal Edge Length of Base of Star Pyramid given Chord Length?

The formula of Pentagonal Edge Length of Base of Star Pyramid given Chord Length is expressed as Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2. Here is an example- 3.81966 = 10/[phi]^2.

How to calculate Pentagonal Edge Length of Base of Star Pyramid given Chord Length?

With Chord Length of Star Pyramid (l_c) we can find Pentagonal Edge Length of Base of Star Pyramid given Chord Length using the formula - Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2. This formula also uses Golden ratio constant(s).

What are the other ways to Calculate Pentagonal Edge Length of Base of Star Pyramid?

Here are the different ways to Calculate Pentagonal Edge Length of Base of Star Pyramid-

Pentagonal Edge Length of Base of Star Pyramid=Edge Length of Base of Star Pyramid/([phi])
Pentagonal Edge Length of Base of Star Pyramid=sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))
Pentagonal Edge Length of Base of Star Pyramid=(sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]^2

Can the Pentagonal Edge Length of Base of Star Pyramid given Chord Length be negative?

No, the Pentagonal Edge Length of Base of Star Pyramid given Chord Length, measured in Length cannot be negative.

Which unit is used to measure Pentagonal Edge Length of Base of Star Pyramid given Chord Length?

Pentagonal Edge Length of Base of Star Pyramid given Chord Length 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 Base of Star Pyramid given Chord Length can be measured.

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