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Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Formula

GoRidge Length of Great Stellated Dodecahedron Formula

GoRidge Length of Great Stellated Dodecahedron given Circumradius Formula

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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. Check FAQs

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

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

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Example

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

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

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

16.0426 = \frac{1 + \sqrt{5}}{2} \cdot \frac{42}{2 + \sqrt{5}}

16.0426m = \frac{1 + \sqrt{5}}{2} \cdot \frac{42m}{2 + \sqrt{5}}

16.0426 = \frac{1 + \sqrt{5}}{2} \cdot \frac{42}{2 + \sqrt{5}}

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Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{42m}{2 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{42}{2 + \sqrt{5}}

Next Step Evaluate

∴

l Ridge = 16.0425724725044m

LAST Step Rounding Answer

∴

l Ridge = 16.0426m

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Formula Elements

Variables

Functions

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

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

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 Ridge Length of Great Stellated Dodecahedron

Go Ridge Length of Great Stellated Dodecahedron

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Ridge Length of Great Stellated Dodecahedron given Circumradius

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Ridge Length of Great Stellated Dodecahedron given Pyramidal Height

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Ridge Length of Great Stellated Dodecahedron given Total Surface Area

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord evaluator uses Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)) to evaluate the Ridge Length of Great Stellated Dodecahedron, Ridge Length of Great Stellated Dodecahedron given Pentagram Chord formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its pentagram chord. Ridge Length of Great Stellated Dodecahedron is denoted by l_Ridge symbol.

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

FAQs on Ridge Length of Great Stellated Dodecahedron given Pentagram Chord

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

The formula of Ridge Length of Great Stellated Dodecahedron given Pentagram Chord is expressed as Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)). Here is an example- 16.04257 = (1+sqrt(5))/2*42/(2+sqrt(5)).

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

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

What are the other ways to Calculate Ridge Length of Great Stellated Dodecahedron?

Here are the different ways to Calculate Ridge Length of Great Stellated Dodecahedron-

Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*Edge Length of Great Stellated Dodecahedron
Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
Ridge Length of Great Stellated Dodecahedron=(1+sqrt(5))/2*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

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

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

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

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

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