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Circumsphere Radius of Snub Dodecahedron Formula

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Circumsphere Radius of Snub Dodecahedron is the radius of the sphere that contains the Snub Dodecahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \frac{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}{2} \cdot l e

r_c - Circumsphere Radius of Snub Dodecahedron?l_e - Edge Length of Snub Dodecahedron?

Circumsphere Radius of Snub Dodecahedron Example

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Here is how the Circumsphere Radius of Snub Dodecahedron equation looks like with Values.

Here is how the Circumsphere Radius of Snub Dodecahedron equation looks like with Units.

Here is how the Circumsphere Radius of Snub Dodecahedron equation looks like.

21.5584 = \frac{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}{2} \cdot 10

21.5584m = \frac{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}{2} \cdot 10m

21.5584 = \frac{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}{2} \cdot 10

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Circumsphere Radius of Snub Dodecahedron Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Snub Dodecahedron?

FIRST Step Consider the formula

r c = \frac{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}{2} \cdot l e

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}{2} \cdot 10

Next Step Evaluate

∴

r c = 21.5583737504599m

LAST Step Rounding Answer

∴

r c = 21.5584m

Circumsphere Radius of Snub Dodecahedron Formula Elements

Variables

Functions

Circumsphere Radius of Snub Dodecahedron

Circumsphere Radius of Snub Dodecahedron is the radius of the sphere that contains the Snub Dodecahedron in such a way that all the 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 Snub Dodecahedron

Edge Length of Snub Dodecahedron

Edge Length of Snub Dodecahedron is the length of any edge of the Snub Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Snub Dodecahedron

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 in Circumsphere Radius of Snub Dodecahedron category

Go Midsphere Radius of Snub Dodecahedron

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot l e

Go Total Surface Area of Snub Dodecahedron

TSA = ((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot {l e}^{2}

Go Surface to Volume Ratio of Snub Dodecahedron

R A/V = \frac{((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 6 \cdot {(3 - {({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2})}^{\frac{3}{2}}}{l e \cdot (((12 \cdot ((3 \cdot [phi]) + 1)) \cdot ({({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2}) - (((36 \cdot [phi]) + 7) \cdot ({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}}))) - ((53 \cdot [phi]) + 6))}

Go Edge Length of Snub Dodecahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}

How to Evaluate Circumsphere Radius of Snub Dodecahedron?

Circumsphere Radius of Snub Dodecahedron evaluator uses Circumsphere Radius of Snub Dodecahedron = sqrt((2-0.94315125924)/(1-0.94315125924))/2*Edge Length of Snub Dodecahedron to evaluate the Circumsphere Radius of Snub Dodecahedron, Circumsphere Radius of Snub Dodecahedron formula is defined as the radius of the sphere that contains the Snub Dodecahedron in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Snub Dodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Snub Dodecahedron

What is the formula to find Circumsphere Radius of Snub Dodecahedron?

The formula of Circumsphere Radius of Snub Dodecahedron is expressed as Circumsphere Radius of Snub Dodecahedron = sqrt((2-0.94315125924)/(1-0.94315125924))/2*Edge Length of Snub Dodecahedron. Here is an example- 21.55837 = sqrt((2-0.94315125924)/(1-0.94315125924))/2*10.

How to calculate Circumsphere Radius of Snub Dodecahedron?

With Edge Length of Snub Dodecahedron (l_e) we can find Circumsphere Radius of Snub Dodecahedron using the formula - Circumsphere Radius of Snub Dodecahedron = sqrt((2-0.94315125924)/(1-0.94315125924))/2*Edge Length of Snub Dodecahedron. This formula also uses Square Root (sqrt) function(s).

Can the Circumsphere Radius of Snub Dodecahedron be negative?

No, the Circumsphere Radius of Snub Dodecahedron, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Snub Dodecahedron?

Circumsphere Radius of Snub Dodecahedron 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 Snub Dodecahedron can be measured.

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