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Ridge Length of Great Stellated Dodecahedron given Circumradius Formula

GoRidge Length of Great Stellated Dodecahedron Formula

GoRidge Length of Great Stellated Dodecahedron given Pentagram Chord 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{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

l_Ridge - Ridge Length of Great Stellated Dodecahedron?r_c - Circumradius of Great Stellated Dodecahedron?

Ridge Length of Great Stellated Dodecahedron given Circumradius Example

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

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

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

16.4138 = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot 23}{\sqrt{3} \cdot (3 + \sqrt{5})}

16.4138m = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot 23m}{\sqrt{3} \cdot (3 + \sqrt{5})}

16.4138 = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot 23}{\sqrt{3} \cdot (3 + \sqrt{5})}

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Ridge Length of Great Stellated Dodecahedron given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot 23m}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

l Ridge = \frac{1 + \sqrt{5}}{2} \cdot \frac{4 \cdot 23}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Evaluate

∴

l Ridge = 16.4138161295621m

LAST Step Rounding Answer

∴

l Ridge = 16.4138m

Ridge Length of Great Stellated Dodecahedron given Circumradius 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

Circumradius of Great Stellated Dodecahedron

Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Pentagram Chord

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

Ridge Length of Great Stellated Dodecahedron given Circumradius evaluator uses Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))) to evaluate the Ridge Length of Great Stellated Dodecahedron, Ridge Length of Great Stellated Dodecahedron given Circumradius 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 circumradius. Ridge Length of Great Stellated Dodecahedron is denoted by l_Ridge symbol.

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

FAQs on Ridge Length of Great Stellated Dodecahedron given Circumradius

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

The formula of Ridge Length of Great Stellated Dodecahedron given Circumradius is expressed as Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). Here is an example- 16.41382 = (1+sqrt(5))/2*(4*23)/(sqrt(3)*(3+sqrt(5))).

How to calculate Ridge Length of Great Stellated Dodecahedron given Circumradius?

With Circumradius of Great Stellated Dodecahedron (r_c) we can find Ridge Length of Great Stellated Dodecahedron given Circumradius using the formula - Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+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*Pentagram Chord of Great Stellated Dodecahedron/(2+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 Circumradius be negative?

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

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

Ridge Length of Great Stellated Dodecahedron given Circumradius 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 Circumradius can be measured.

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