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Midsphere Radius of Rhombic Triacontahedron given Total Surface Area Formula

GoMidsphere Radius of Rhombic Triacontahedron Formula

GoMidsphere Radius of Rhombic Triacontahedron given Insphere Radius 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 = \sqrt{\frac{TSA}{12 \cdot \sqrt{5}}} \cdot \frac{5 + \sqrt{5}}{5}

r_m - Midsphere Radius of Rhombic Triacontahedron?TSA - Total Surface Area of Rhombic Triacontahedron?

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area Example

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

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

Here is how the Midsphere Radius of Rhombic Triacontahedron given Total Surface Area equation looks like.

14.5172 = \sqrt{\frac{2700}{12 \cdot \sqrt{5}}} \cdot \frac{5 + \sqrt{5}}{5}

14.5172m = \sqrt{\frac{2700m²}{12 \cdot \sqrt{5}}} \cdot \frac{5 + \sqrt{5}}{5}

14.5172 = \sqrt{\frac{2700}{12 \cdot \sqrt{5}}} \cdot \frac{5 + \sqrt{5}}{5}

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Midsphere Radius of Rhombic Triacontahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \sqrt{\frac{2700m²}{12 \cdot \sqrt{5}}} \cdot \frac{5 + \sqrt{5}}{5}

Next Step Prepare to Evaluate

∴

r m = \sqrt{\frac{2700}{12 \cdot \sqrt{5}}} \cdot \frac{5 + \sqrt{5}}{5}

Next Step Evaluate

∴

r m = 14.51715091831m

LAST Step Rounding Answer

∴

r m = 14.5172m

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area 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

Total Surface Area of Rhombic Triacontahedron

Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Insphere Radius

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

How to Evaluate Midsphere Radius of Rhombic Triacontahedron given Total Surface Area?

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area evaluator uses Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5 to evaluate the Midsphere Radius of Rhombic Triacontahedron, Midsphere Radius of Rhombic Triacontahedron given Total Surface Area 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 total surface area of Rhombic Triacontahedron. Midsphere Radius of Rhombic Triacontahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Rhombic Triacontahedron given Total Surface Area

What is the formula to find Midsphere Radius of Rhombic Triacontahedron given Total Surface Area?

The formula of Midsphere Radius of Rhombic Triacontahedron given Total Surface Area is expressed as Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5. Here is an example- 14.51715 = sqrt(2700/(12*sqrt(5)))*(5+sqrt(5))/5.

How to calculate Midsphere Radius of Rhombic Triacontahedron given Total Surface Area?

With Total Surface Area of Rhombic Triacontahedron (TSA) we can find Midsphere Radius of Rhombic Triacontahedron given Total Surface Area using the formula - Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(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=(Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5
Midsphere Radius of Rhombic Triacontahedron=(Volume of Rhombic Triacontahedron/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5

Can the Midsphere Radius of Rhombic Triacontahedron given Total Surface Area be negative?

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

Which unit is used to measure Midsphere Radius of Rhombic Triacontahedron given Total Surface Area?

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area 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 Total Surface Area can be measured.

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