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Midsphere Radius of Snub Dodecahedron given Circumsphere Radius Formula

GoMidsphere Radius of Snub Dodecahedron Formula

GoMidsphere Radius of Snub Dodecahedron given Total Surface Area 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{r c}{\sqrt{2 - 0.94315125924}}

r_m - Midsphere Radius of Snub Dodecahedron?r_c - Circumsphere Radius of Snub Dodecahedron?

Midsphere Radius of Snub Dodecahedron given Circumsphere Radius Example

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

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

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

21.4001 = \frac{22}{\sqrt{2 - 0.94315125924}}

21.4001m = \frac{22m}{\sqrt{2 - 0.94315125924}}

21.4001 = \frac{22}{\sqrt{2 - 0.94315125924}}

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3D Geometry » fx Midsphere Radius of Snub Dodecahedron given Circumsphere Radius

Midsphere Radius of Snub Dodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{22m}{\sqrt{2 - 0.94315125924}}

Next Step Prepare to Evaluate

∴

r m = \frac{22}{\sqrt{2 - 0.94315125924}}

Next Step Evaluate

∴

r m = 21.4001227124038m

LAST Step Rounding Answer

∴

r m = 21.4001m

Midsphere Radius of Snub Dodecahedron given Circumsphere Radius 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

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 Midsphere Radius of Snub Dodecahedron

Go Midsphere Radius of Snub Dodecahedron

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

Go Midsphere Radius of Snub Dodecahedron given Total Surface Area

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \sqrt{\frac{TSA}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Midsphere Radius of Snub Dodecahedron given Volume

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

Go Midsphere Radius of Snub Dodecahedron given Surface to Volume Ratio

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \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}}}{R A/V \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 Midsphere Radius of Snub Dodecahedron given Circumsphere Radius?

Midsphere Radius of Snub Dodecahedron given Circumsphere Radius evaluator uses Midsphere Radius of Snub Dodecahedron = Circumsphere Radius of Snub Dodecahedron/sqrt(2-0.94315125924) to evaluate the Midsphere Radius of Snub Dodecahedron, Midsphere Radius of Snub Dodecahedron given Circumsphere Radius 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, and calculated using the circumsphere radius of the Snub Dodecahedron. Midsphere Radius of Snub Dodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Snub Dodecahedron given Circumsphere Radius

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

The formula of Midsphere Radius of Snub Dodecahedron given Circumsphere Radius is expressed as Midsphere Radius of Snub Dodecahedron = Circumsphere Radius of Snub Dodecahedron/sqrt(2-0.94315125924). Here is an example- 21.40012 = 22/sqrt(2-0.94315125924).

How to calculate Midsphere Radius of Snub Dodecahedron given Circumsphere Radius?

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

What are the other ways to Calculate Midsphere Radius of Snub Dodecahedron?

Here are the different ways to Calculate Midsphere Radius of Snub Dodecahedron-

Midsphere Radius of Snub Dodecahedron=sqrt(1/(1-0.94315125924))/2*Edge Length of Snub Dodecahedron
Midsphere Radius of Snub Dodecahedron=sqrt(1/(1-0.94315125924))/2*sqrt(Total Surface Area of Snub Dodecahedron/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Midsphere Radius of Snub Dodecahedron=sqrt(1/(1-0.94315125924))/2*((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 Midsphere Radius of Snub Dodecahedron given Circumsphere Radius be negative?

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

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

Midsphere Radius 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 Midsphere Radius of Snub Dodecahedron given Circumsphere Radius can be measured.

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