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Circumsphere Radius of Great Icosahedron Formula

GoCircumsphere Radius of Great Icosahedron given Mid Ridge Length 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 l e

r_c - Circumsphere Radius of Great Icosahedron?l_e - Edge Length of Great Icosahedron?

Circumsphere Radius of Great Icosahedron Example

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Here is how the Circumsphere Radius of Great Icosahedron equation looks like with Values.

Here is how the Circumsphere Radius of Great Icosahedron equation looks like with Units.

Here is how the Circumsphere Radius of Great Icosahedron equation looks like.

24.899 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot 10

24.899m = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot 10m

24.899 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot 10

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Circumsphere Radius of Great Icosahedron Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Great Icosahedron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r c = 24.8989828488278m

LAST Step Rounding Answer

∴

r c = 24.899m

Circumsphere Radius of Great Icosahedron 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

Edge Length of Great Icosahedron

Edge Length of Great Icosahedron is the distance between any pair of adjacent peak vertices of the Great Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge 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 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 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?

Circumsphere Radius of Great Icosahedron evaluator uses Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*Edge Length of Great Icosahedron to evaluate the Circumsphere Radius of Great Icosahedron, Circumsphere Radius of Great Icosahedron 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. Circumsphere Radius of Great Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Great Icosahedron

What is the formula to find Circumsphere Radius of Great Icosahedron?

The formula of Circumsphere Radius of Great Icosahedron is expressed as Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*Edge Length of Great Icosahedron. Here is an example- 24.89898 = sqrt(50+(22*sqrt(5)))/4*10.

How to calculate Circumsphere Radius of Great Icosahedron?

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

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

Which unit is used to measure Circumsphere Radius of Great Icosahedron?

Circumsphere Radius of Great Icosahedron 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 can be measured.

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