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Chord Length of Star Pyramid given Lateral Edge Length Formula

GoChord Length of Star Pyramid Formula

GoChord Length of Star Pyramid given Pentagonal Edge Length of Base 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 = \sqrt{\frac{({l e(Lateral)}^{2} - h^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

l_c - Chord Length of Star Pyramid?l_e(Lateral) - Lateral Edge Length of Star Pyramid?h - Height of Star Pyramid?

Chord Length of Star Pyramid given Lateral Edge Length Example

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

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

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

9.975 = \sqrt{\frac{(11^{2} - 7^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

9.975m = \sqrt{\frac{({11m}^{2} - {7m}^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

9.975 = \sqrt{\frac{(11^{2} - 7^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

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Chord Length of Star Pyramid given Lateral Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c = \sqrt{\frac{({11m}^{2} - {7m}^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l c = \sqrt{\frac{(11^{2} - 7^{2}) \cdot 100}{50 + (10 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l c = 9.97504650665888m

LAST Step Rounding Answer

∴

l c = 9.975m

Chord Length of Star Pyramid given Lateral Edge Length Formula Elements

Variables

Functions

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

Lateral Edge Length of Star Pyramid

Lateral Edge Length of Star Pyramid is the length of the line joining any spike or outer vertex of base of the Star Pyramid and the apex of the Star Pyramid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge Length of Star Pyramid

Height of Star Pyramid

Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Star Pyramid

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 Star Pyramid

Go Chord Length of Star Pyramid

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

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

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

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 Lateral Edge Length?

Chord Length of Star Pyramid given Lateral Edge Length evaluator uses Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))) to evaluate the Chord Length of Star Pyramid, Chord Length of Star Pyramid given Lateral Edge Length 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 lateral edge length and height of the Star Pyramid. Chord Length of Star Pyramid is denoted by l_c symbol.

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

FAQs on Chord Length of Star Pyramid given Lateral Edge Length

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

The formula of Chord Length of Star Pyramid given Lateral Edge Length is expressed as Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))). Here is an example- 9.975047 = sqrt(((11^2-7^2)*100)/(50+(10*sqrt(5)))).

How to calculate Chord Length of Star Pyramid given Lateral Edge Length?

With Lateral Edge Length of Star Pyramid (l_e(Lateral)) & Height of Star Pyramid (h) we can find Chord Length of Star Pyramid given Lateral Edge Length using the formula - Chord Length of Star Pyramid = sqrt(((Lateral Edge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(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=[phi]^2*Pentagonal Edge Length of Base of Star Pyramid
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 Lateral Edge Length be negative?

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

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

Chord Length of Star Pyramid given Lateral Edge Length 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 Lateral Edge Length can be measured.

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Chord Length of Star Pyramid given Lateral Edge Length Formula

​GoChord Length of Star Pyramid Formula

​GoChord Length of Star Pyramid given Pentagonal Edge Length of Base Formula

Chord Length of Star Pyramid given Lateral Edge Length Example

Chord Length of Star Pyramid given Lateral Edge Length Solution

Chord Length of Star Pyramid given Lateral Edge Length Formula Elements

Other Formulas to find Chord Length of Star Pyramid

How to Evaluate Chord Length of Star Pyramid given Lateral Edge Length?

FAQs on Chord Length of Star Pyramid given Lateral Edge Length

Variable Name

GoChord Length of Star Pyramid Formula

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