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Edge Length of Snub Dodecahedron given Circumsphere Radius Formula

GoEdge Length of Snub Dodecahedron given Volume Formula

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

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

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

Edge Length of Snub Dodecahedron given Circumsphere Radius Example

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

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

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

10.2049 = \frac{2 \cdot 22}{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}

10.2049m = \frac{2 \cdot 22m}{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}

10.2049 = \frac{2 \cdot 22}{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}

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Edge Length of Snub Dodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 22m}{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 22}{\sqrt{\frac{2 - 0.94315125924}{1 - 0.94315125924}}}

Next Step Evaluate

∴

l e = 10.2048513745294m

LAST Step Rounding Answer

∴

l e = 10.2049m

Edge Length of Snub Dodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

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

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

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 Edge Length of Snub Dodecahedron

Go Edge Length of Snub Dodecahedron given Volume

l e = {(\frac{V \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}}}{((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)})}^{\frac{1}{3}}

Other formulas in Edge Length of Snub Dodecahedron category

Go Circumsphere Radius of Snub Dodecahedron

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

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))}

How to Evaluate Edge Length of Snub Dodecahedron given Circumsphere Radius?

Edge Length of Snub Dodecahedron given Circumsphere Radius evaluator uses Edge Length of Snub Dodecahedron = (2*Circumsphere Radius of Snub Dodecahedron)/sqrt((2-0.94315125924)/(1-0.94315125924)) to evaluate the Edge Length of Snub Dodecahedron, Edge Length of Snub Dodecahedron given Circumsphere Radius formula is defined as the length of any edge of the Snub Dodecahedron, and calculated using the circumsphere radius of the Snub Dodecahedron. Edge Length of Snub Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Snub Dodecahedron given Circumsphere Radius

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

The formula of Edge Length of Snub Dodecahedron given Circumsphere Radius is expressed as Edge Length of Snub Dodecahedron = (2*Circumsphere Radius of Snub Dodecahedron)/sqrt((2-0.94315125924)/(1-0.94315125924)). Here is an example- 10.20485 = (2*22)/sqrt((2-0.94315125924)/(1-0.94315125924)).

How to calculate Edge Length of Snub Dodecahedron given Circumsphere Radius?

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

What are the other ways to Calculate Edge Length of Snub Dodecahedron?

Here are the different ways to Calculate Edge Length of Snub Dodecahedron-

Edge Length of Snub Dodecahedron=((Volume of Snub Dodecahedron*6*(3-(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)^(3/2))/(((12*((3*[phi])+1))*((([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)-(((36*[phi])+7)*(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))))-((53*[phi])+6)))^(1/3)

Can the Edge Length of Snub Dodecahedron given Circumsphere Radius be negative?

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

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

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

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