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Midsphere Radius of Rhombic Triacontahedron given Insphere Radius Formula

GoMidsphere Radius of Rhombic Triacontahedron Formula

GoMidsphere Radius of Rhombic Triacontahedron given Volume Formula

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

r m = (\frac{r i}{\sqrt{\frac{5 + 2 \cdot \sqrt{5}}{5}}}) \cdot \frac{5 + \sqrt{5}}{5}

r_m - Midsphere Radius of Rhombic Triacontahedron?r_i - Insphere Radius of Rhombic Triacontahedron?

Midsphere Radius of Rhombic Triacontahedron given Insphere Radius Example

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Here is how the Midsphere Radius of Rhombic Triacontahedron given Insphere Radius equation looks like with Values.

Here is how the Midsphere Radius of Rhombic Triacontahedron given Insphere Radius equation looks like with Units.

Here is how the Midsphere Radius of Rhombic Triacontahedron given Insphere Radius equation looks like.

14.7205 = (\frac{14}{\sqrt{\frac{5 + 2 \cdot \sqrt{5}}{5}}}) \cdot \frac{5 + \sqrt{5}}{5}

14.7205m = (\frac{14m}{\sqrt{\frac{5 + 2 \cdot \sqrt{5}}{5}}}) \cdot \frac{5 + \sqrt{5}}{5}

14.7205 = (\frac{14}{\sqrt{\frac{5 + 2 \cdot \sqrt{5}}{5}}}) \cdot \frac{5 + \sqrt{5}}{5}

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Midsphere Radius of Rhombic Triacontahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Midsphere Radius of Rhombic Triacontahedron given Insphere Radius?

FIRST Step Consider the formula

r m = (\frac{r i}{\sqrt{\frac{5 + 2 \cdot \sqrt{5}}{5}}}) \cdot \frac{5 + \sqrt{5}}{5}

Next Step Substitute values of Variables

∴

r m = (\frac{14m}{\sqrt{\frac{5 + 2 \cdot \sqrt{5}}{5}}}) \cdot \frac{5 + \sqrt{5}}{5}

Next Step Prepare to Evaluate

∴

r m = (\frac{14}{\sqrt{\frac{5 + 2 \cdot \sqrt{5}}{5}}}) \cdot \frac{5 + \sqrt{5}}{5}

Next Step Evaluate

∴

r m = 14.7204711393357m

LAST Step Rounding Answer

∴

r m = 14.7205m

Midsphere Radius of Rhombic Triacontahedron given Insphere Radius Formula Elements

Variables

Functions

Midsphere Radius of Rhombic Triacontahedron

Midsphere Radius of Rhombic Triacontahedron is the radius of the sphere for which all the edges of the Rhombic Triacontahedron 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 Rhombic Triacontahedron

Insphere Radius of Rhombic Triacontahedron

Insphere Radius of Rhombic Triacontahedron is the radius of the sphere that is contained by the Rhombic Triacontahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Rhombic Triacontahedron

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 Rhombic Triacontahedron

Go Midsphere Radius of Rhombic Triacontahedron

r m = \frac{l e}{5} \cdot (5 + \sqrt{5})

Go Midsphere Radius of Rhombic Triacontahedron given Volume

r m = {(\frac{V}{4 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}})}^{\frac{1}{3}} \cdot \frac{5 + \sqrt{5}}{5}

Go Midsphere Radius of Rhombic Triacontahedron given Total Surface Area

r m = \sqrt{\frac{TSA}{12 \cdot \sqrt{5}}} \cdot \frac{5 + \sqrt{5}}{5}

How to Evaluate Midsphere Radius of Rhombic Triacontahedron given Insphere Radius?

Midsphere Radius of Rhombic Triacontahedron given Insphere Radius evaluator uses Midsphere Radius of Rhombic Triacontahedron = (Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5 to evaluate the Midsphere Radius of Rhombic Triacontahedron, Midsphere Radius of Rhombic Triacontahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere, calculated using insphere radius of Rhombic Triacontahedron. Midsphere Radius of Rhombic Triacontahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Rhombic Triacontahedron given Insphere Radius using this online evaluator? To use this online evaluator for Midsphere Radius of Rhombic Triacontahedron given Insphere Radius, enter Insphere Radius of Rhombic Triacontahedron (r_i) and hit the calculate button.

FAQs on Midsphere Radius of Rhombic Triacontahedron given Insphere Radius

What is the formula to find Midsphere Radius of Rhombic Triacontahedron given Insphere Radius?

The formula of Midsphere Radius of Rhombic Triacontahedron given Insphere Radius is expressed as Midsphere Radius of Rhombic Triacontahedron = (Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5. Here is an example- 14.72047 = (14/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5.

How to calculate Midsphere Radius of Rhombic Triacontahedron given Insphere Radius?

With Insphere Radius of Rhombic Triacontahedron (r_i) we can find Midsphere Radius of Rhombic Triacontahedron given Insphere Radius using the formula - Midsphere Radius of Rhombic Triacontahedron = (Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Rhombic Triacontahedron?

Here are the different ways to Calculate Midsphere Radius of Rhombic Triacontahedron-

Midsphere Radius of Rhombic Triacontahedron=Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5))
Midsphere Radius of Rhombic Triacontahedron=(Volume of Rhombic Triacontahedron/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5
Midsphere Radius of Rhombic Triacontahedron=sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5

Can the Midsphere Radius of Rhombic Triacontahedron given Insphere Radius be negative?

No, the Midsphere Radius of Rhombic Triacontahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Rhombic Triacontahedron given Insphere Radius?

Midsphere Radius of Rhombic Triacontahedron given Insphere 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 Rhombic Triacontahedron given Insphere Radius can be measured.

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