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Midsphere Radius of Snub Dodecahedron Formula

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Midsphere Radius of Snub Dodecahedron is the radius of the sphere for which all the edges of the Snub Dodecahedron become a tangent line on that sphere. Check FAQs

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

r_m - Midsphere Radius of Snub Dodecahedron?l_e - Edge Length of Snub Dodecahedron?

Midsphere Radius of Snub Dodecahedron Example

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

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

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

20.9705 = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot 10

20.9705m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot 10m

20.9705 = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot 10

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Midsphere Radius of Snub Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r m = 20.9705383518049m

LAST Step Rounding Answer

∴

r m = 20.9705m

Midsphere Radius of Snub Dodecahedron Formula Elements

Variables

Functions

Midsphere Radius of Snub Dodecahedron

Midsphere Radius of Snub Dodecahedron is the radius of the sphere for which all the edges of the Snub Dodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Midsphere Radius 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 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 Midsphere Radius of Snub Dodecahedron?

Midsphere Radius of Snub Dodecahedron evaluator uses Midsphere Radius of Snub Dodecahedron = sqrt(1/(1-0.94315125924))/2*Edge Length of Snub Dodecahedron to evaluate the Midsphere Radius of Snub Dodecahedron, Midsphere Radius of Snub Dodecahedron formula is defined as the radius of the sphere for which all the edges of the Snub Dodecahedron become a tangent line on that sphere. Midsphere Radius of Snub Dodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Snub Dodecahedron

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

The formula of Midsphere Radius of Snub Dodecahedron is expressed as Midsphere Radius of Snub Dodecahedron = sqrt(1/(1-0.94315125924))/2*Edge Length of Snub Dodecahedron. Here is an example- 20.97054 = sqrt(1/(1-0.94315125924))/2*10.

How to calculate Midsphere Radius of Snub Dodecahedron?

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

Can the Midsphere Radius of Snub Dodecahedron be negative?

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

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

Midsphere 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 Midsphere Radius of Snub Dodecahedron can be measured.

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