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Pentagram Chord of Great Stellated Dodecahedron given Ridge Length Formula

GoPentagram Chord of Great Stellated Dodecahedron Formula

GoPentagram Chord of Great Stellated Dodecahedron given Circumradius Formula

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Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron. Check FAQs

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

l_c(Pentagram) - Pentagram Chord of Great Stellated Dodecahedron?l_Ridge - Ridge Length of Great Stellated Dodecahedron?

Pentagram Chord of Great Stellated Dodecahedron given Ridge Length Example

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Here is how the Pentagram Chord of Great Stellated Dodecahedron given Ridge Length equation looks like with Values.

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Ridge Length equation looks like with Units.

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Ridge Length equation looks like.

41.8885 = (2 + \sqrt{5}) \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

41.8885m = (2 + \sqrt{5}) \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

41.8885 = (2 + \sqrt{5}) \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

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Pentagram Chord of Great Stellated Dodecahedron given Ridge Length Solution

Follow our step by step solution on how to calculate Pentagram Chord of Great Stellated Dodecahedron given Ridge Length?

FIRST Step Consider the formula

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

l c(Pentagram) = 41.8885438199983m

LAST Step Rounding Answer

∴

l c(Pentagram) = 41.8885m

Pentagram Chord of Great Stellated Dodecahedron given Ridge Length Formula Elements

Variables

Functions

Pentagram Chord of Great Stellated Dodecahedron

Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Great Stellated Dodecahedron

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 Pentagram Chord of Great Stellated Dodecahedron

Go Pentagram Chord of Great Stellated Dodecahedron

l c(Pentagram) = (2 + \sqrt{5}) \cdot l e

Go Pentagram Chord of Great Stellated Dodecahedron given Circumradius

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area

l c(Pentagram) = (2 + \sqrt{5}) \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

How to Evaluate Pentagram Chord of Great Stellated Dodecahedron given Ridge Length?

Pentagram Chord of Great Stellated Dodecahedron given Ridge Length evaluator uses Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)) to evaluate the Pentagram Chord of Great Stellated Dodecahedron, Pentagram Chord of Great Stellated Dodecahedron given Ridge Length formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its ridge length. Pentagram Chord of Great Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

How to evaluate Pentagram Chord of Great Stellated Dodecahedron given Ridge Length using this online evaluator? To use this online evaluator for Pentagram Chord of Great Stellated Dodecahedron given Ridge Length, enter Ridge Length of Great Stellated Dodecahedron (l_Ridge) and hit the calculate button.

FAQs on Pentagram Chord of Great Stellated Dodecahedron given Ridge Length

What is the formula to find Pentagram Chord of Great Stellated Dodecahedron given Ridge Length?

The formula of Pentagram Chord of Great Stellated Dodecahedron given Ridge Length is expressed as Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)). Here is an example- 41.88854 = (2+sqrt(5))*(2*16)/(1+sqrt(5)).

How to calculate Pentagram Chord of Great Stellated Dodecahedron given Ridge Length?

With Ridge Length of Great Stellated Dodecahedron (l_Ridge) we can find Pentagram Chord of Great Stellated Dodecahedron given Ridge Length using the formula - Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pentagram Chord of Great Stellated Dodecahedron?

Here are the different ways to Calculate Pentagram Chord of Great Stellated Dodecahedron-

Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*Edge Length of Great Stellated Dodecahedron
Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Pentagram Chord of Great Stellated Dodecahedron given Ridge Length be negative?

No, the Pentagram Chord of Great Stellated Dodecahedron given Ridge Length, measured in Length cannot be negative.

Which unit is used to measure Pentagram Chord of Great Stellated Dodecahedron given Ridge Length?

Pentagram Chord of Great Stellated Dodecahedron given Ridge Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pentagram Chord of Great Stellated Dodecahedron given Ridge Length can be measured.

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