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Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio 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{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot R A/V}

r_c - Circumsphere Radius of Great Icosahedron?R_A/V - Surface to Volume Ratio of Great Icosahedron?

Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio Example

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Here is how the Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio equation looks like.

26.6535 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6}

26.6535m = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6m⁻¹}

26.6535 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6}

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Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot R A/V}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6m⁻¹}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 0.6}

Next Step Evaluate

∴

r c = 26.6535212800292m

LAST Step Rounding Answer

∴

r c = 26.6535m

Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Great Icosahedron

Surface to Volume Ratio of Great Icosahedron is the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 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}}

How to Evaluate Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio?

Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio evaluator uses Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron) to evaluate the Circumsphere Radius of Great Icosahedron, Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio 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 surface to volume ratio. Circumsphere Radius of Great Icosahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Great Icosahedron (R_A/V) and hit the calculate button.

FAQs on Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio

What is the formula to find Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio?

The formula of Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio is expressed as Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron). Here is an example- 26.65352 = sqrt(50+(22*sqrt(5)))/4*(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*0.6).

How to calculate Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Great Icosahedron (R_A/V) we can find Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio using the formula - Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Surface to Volume Ratio of Great Icosahedron). This formula also uses Square Root Function 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*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))

Can the Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio be negative?

No, the Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio?

Circumsphere Radius of Great Icosahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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