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Long Ridge Length of Great Icosahedron given Circumsphere Radius Formula

GoLong Ridge Length of Great Icosahedron Formula

GoLong Ridge Length of Great Icosahedron given Mid Ridge Length Formula

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Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached. Check FAQs

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

l_Ridge(Long) - Long Ridge Length of Great Icosahedron?r_c - Circumsphere Radius of Great Icosahedron?

Long Ridge Length of Great Icosahedron given Circumsphere Radius Example

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Here is how the Long Ridge Length of Great Icosahedron given Circumsphere Radius equation looks like with Values.

Here is how the Long Ridge Length of Great Icosahedron given Circumsphere Radius equation looks like with Units.

Here is how the Long Ridge Length of Great Icosahedron given Circumsphere Radius equation looks like.

16.6251 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}}

16.6251m = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot 25m}{\sqrt{50 + (22 \cdot \sqrt{5})}}

16.6251 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}}

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Long Ridge Length of Great Icosahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Long Ridge Length of Great Icosahedron given Circumsphere Radius?

FIRST Step Consider the formula

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot 25m}{\sqrt{50 + (22 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l Ridge(Long) = 16.6250775110981m

LAST Step Rounding Answer

∴

l Ridge(Long) = 16.6251m

Long Ridge Length of Great Icosahedron given Circumsphere Radius Formula Elements

Variables

Functions

Long Ridge Length of Great Icosahedron

Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Ridge Length of Great Icosahedron

Circumsphere Radius of Great Icosahedron

Circumsphere Radius of Great Icosahedron is the radius of the sphere that contains the Great Icosahedron in such a way that all the peak vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Great Icosahedron

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 Long Ridge Length of Great Icosahedron

Go Long Ridge Length of Great Icosahedron

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot l e

Go Long Ridge Length of Great Icosahedron given Mid Ridge Length

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Long Ridge Length of Great Icosahedron given Short Ridge Length

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

Go Long Ridge Length of Great Icosahedron given Total Surface Area

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

How to Evaluate Long Ridge Length of Great Icosahedron given Circumsphere Radius?

Long Ridge Length of Great Icosahedron given Circumsphere Radius evaluator uses Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))) to evaluate the Long Ridge Length of Great Icosahedron, Long Ridge Length of Great Icosahedron given Circumsphere Radius formula is defined as the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of the Great Icosahedron is attached, calculated using circumsphere radius. Long Ridge Length of Great Icosahedron is denoted by l_Ridge(Long) symbol.

How to evaluate Long Ridge Length of Great Icosahedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Long Ridge Length of Great Icosahedron given Circumsphere Radius, enter Circumsphere Radius of Great Icosahedron (r_c) and hit the calculate button.

FAQs on Long Ridge Length of Great Icosahedron given Circumsphere Radius

What is the formula to find Long Ridge Length of Great Icosahedron given Circumsphere Radius?

The formula of Long Ridge Length of Great Icosahedron given Circumsphere Radius is expressed as Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))). Here is an example- 16.62508 = (sqrt(2)*(5+(3*sqrt(5))))/10*(4*25)/(sqrt(50+(22*sqrt(5)))).

How to calculate Long Ridge Length of Great Icosahedron given Circumsphere Radius?

With Circumsphere Radius of Great Icosahedron (r_c) we can find Long Ridge Length of Great Icosahedron given Circumsphere Radius using the formula - Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Ridge Length of Great Icosahedron?

Here are the different ways to Calculate Long Ridge Length of Great Icosahedron-

Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*Edge Length of Great Icosahedron
Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

Can the Long Ridge Length of Great Icosahedron given Circumsphere Radius be negative?

No, the Long Ridge Length of Great Icosahedron given Circumsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Long Ridge Length of Great Icosahedron given Circumsphere Radius?

Long Ridge Length of Great Icosahedron given Circumsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Ridge Length of Great Icosahedron given Circumsphere Radius can be measured.

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