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Circumsphere Radius of Great Icosahedron given Long Ridge Length Formula

GoCircumsphere Radius of Great Icosahedron Formula

GoCircumsphere Radius of Great Icosahedron given Mid Ridge Length Formula

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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. Check FAQs

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

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

Circumsphere Radius of Great Icosahedron given Long Ridge Length Example

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

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

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

25.5638 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

25.5638m = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{10 \cdot 17m}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

25.5638 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

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Circumsphere Radius of Great Icosahedron given Long Ridge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{10 \cdot 17m}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

Next Step Evaluate

∴

r c = 25.5637905878207m

LAST Step Rounding Answer

∴

r c = 25.5638m

Circumsphere Radius of Great Icosahedron given Long Ridge Length Formula Elements

Variables

Functions

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

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

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 Circumsphere Radius of Great Icosahedron

Go Circumsphere Radius of Great Icosahedron

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Great Icosahedron given Mid Ridge Length

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Circumsphere Radius of Great Icosahedron given Short Ridge Length

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

Go Circumsphere Radius of Great Icosahedron given Total Surface Area

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

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

Circumsphere Radius of Great Icosahedron given Long Ridge Length evaluator uses Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))) to evaluate the Circumsphere Radius of Great Icosahedron, Circumsphere Radius of Great Icosahedron given Long Ridge Length formula is defined as the radius of the sphere that contains the Great Icosahedron in such a way that all the vertices are lying on the sphere, calculated using long ridge length. Circumsphere Radius of Great Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Great Icosahedron given Long Ridge Length

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

The formula of Circumsphere Radius of Great Icosahedron given Long Ridge Length is expressed as Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))). Here is an example- 25.56379 = sqrt(50+(22*sqrt(5)))/4*(10*17)/(sqrt(2)*(5+(3*sqrt(5)))).

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

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

What are the other ways to Calculate Circumsphere Radius of Great Icosahedron?

Here are the different ways to Calculate Circumsphere Radius of Great Icosahedron-

Circumsphere Radius of Great Icosahedron=sqrt(50+(22*sqrt(5)))/4*Edge Length of Great Icosahedron
Circumsphere Radius of Great Icosahedron=sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Circumsphere Radius of Great Icosahedron=sqrt(50+(22*sqrt(5)))/4*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

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

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

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

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

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