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Circumsphere Radius of Great Icosahedron given Mid Ridge Length Formula

GoCircumsphere Radius of Great Icosahedron Formula

GoCircumsphere Radius of Great Icosahedron given Long 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{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

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

Circumsphere Radius of Great Icosahedron given Mid Ridge Length Example

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

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

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

24.6215 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

24.6215m = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

24.6215 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

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Circumsphere Radius of Great Icosahedron given Mid Ridge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

r c = 24.621468297402m

LAST Step Rounding Answer

∴

r c = 24.6215m

Circumsphere Radius of Great Icosahedron given Mid 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

Mid Ridge Length of Great Icosahedron

Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Mid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mid 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 Long Ridge Length

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}))}

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 Mid Ridge Length?

Circumsphere Radius of Great Icosahedron given Mid Ridge Length evaluator uses Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)) to evaluate the Circumsphere Radius of Great Icosahedron, Circumsphere Radius of Great Icosahedron given Mid 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 Mid ridge length. Circumsphere Radius of Great Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Great Icosahedron given Mid Ridge Length

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

The formula of Circumsphere Radius of Great Icosahedron given Mid Ridge Length is expressed as Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)). Here is an example- 24.62147 = sqrt(50+(22*sqrt(5)))/4*(2*16)/(1+sqrt(5)).

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

With Mid Ridge Length of Great Icosahedron (l_Ridge(Mid)) we can find Circumsphere Radius of Great Icosahedron given Mid Ridge Length using the formula - Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+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*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*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 Mid Ridge Length be negative?

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

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

Circumsphere Radius of Great Icosahedron given Mid 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 Mid Ridge Length can be measured.

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