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

GoChord Length of Star Pyramid Formula

GoChord Length of Star Pyramid given Lateral Edge Length Formula

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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. Check FAQs

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

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

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

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

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

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

10.4721 = {1.618}^{2} \cdot 4

10.4721m = {1.618}^{2} \cdot 4m

10.4721 = {1.618}^{2} \cdot 4

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c = {[phi]}^{2} \cdot 4m

Next Step Substitute values of Constants

∴

l c = {1.618}^{2} \cdot 4m

Next Step Prepare to Evaluate

∴

l c = {1.618}^{2} \cdot 4

Next Step Evaluate

∴

l c = 10.4721359549996m

LAST Step Rounding Answer

∴

l c = 10.4721m

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

Variables

Constants

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

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

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 Star Pyramid

Go Chord Length of Star Pyramid

l c = [phi] \cdot l e(Base)

Go Chord Length of Star Pyramid given Lateral Edge Length

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

Go Chord Length of Star Pyramid given Volume

l c = \sqrt{\frac{6 \cdot V}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot h}}

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

Chord Length of Star Pyramid given Pentagonal Edge Length of Base evaluator uses Chord Length of Star Pyramid = [phi]^2*Pentagonal Edge Length of Base of Star Pyramid to evaluate the Chord Length of Star Pyramid, Chord Length of Star Pyramid given Pentagonal Edge Length of Base formula is defined as the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid and is calculated using the pentagonal edge length of base of the Star Pyramid. Chord Length of Star Pyramid is denoted by l_c symbol.

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

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

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

The formula of Chord Length of Star Pyramid given Pentagonal Edge Length of Base is expressed as Chord Length of Star Pyramid = [phi]^2*Pentagonal Edge Length of Base of Star Pyramid. Here is an example- 10.47214 = [phi]^2*4.

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

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

What are the other ways to Calculate Chord Length of Star Pyramid?

Here are the different ways to Calculate Chord Length of Star Pyramid-

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

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

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

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

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

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