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Insphere Radius of Rhombic Triacontahedron given Midsphere Radius Formula

GoInsphere Radius of Rhombic Triacontahedron Formula

GoInsphere Radius of Rhombic Triacontahedron given Volume Formula

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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. Check FAQs

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

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

Insphere Radius of Rhombic Triacontahedron given Midsphere Radius Example

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

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

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

14.2658 = \frac{5 \cdot 15}{5 + \sqrt{5}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

14.2658m = \frac{5 \cdot 15m}{5 + \sqrt{5}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

14.2658 = \frac{5 \cdot 15}{5 + \sqrt{5}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

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Insphere Radius of Rhombic Triacontahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{5 \cdot 15m}{5 + \sqrt{5}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

Next Step Prepare to Evaluate

∴

r i = \frac{5 \cdot 15}{5 + \sqrt{5}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

Next Step Evaluate

∴

r i = 14.2658477444273m

LAST Step Rounding Answer

∴

r i = 14.2658m

Insphere Radius of Rhombic Triacontahedron given Midsphere Radius Formula Elements

Variables

Functions

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

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

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 Insphere Radius of Rhombic Triacontahedron

Go Insphere Radius of Rhombic Triacontahedron

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

Go Insphere Radius of Rhombic Triacontahedron given Volume

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

Go Insphere Radius of Rhombic Triacontahedron given Total Surface Area

r i = \sqrt{\frac{TSA}{12 \cdot \sqrt{5}}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

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

Insphere Radius of Rhombic Triacontahedron given Midsphere Radius evaluator uses Insphere Radius of Rhombic Triacontahedron = (5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5))*sqrt((5+(2*sqrt(5)))/5) to evaluate the Insphere Radius of Rhombic Triacontahedron, Insphere Radius of Rhombic Triacontahedron given Midsphere Radius formula is defined as 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, calculated using midsphere radius of Rhombic Triacontahedron. Insphere Radius of Rhombic Triacontahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Rhombic Triacontahedron given Midsphere Radius

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

The formula of Insphere Radius of Rhombic Triacontahedron given Midsphere Radius is expressed as Insphere Radius of Rhombic Triacontahedron = (5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5))*sqrt((5+(2*sqrt(5)))/5). Here is an example- 14.26585 = (5*15)/(5+sqrt(5))*sqrt((5+(2*sqrt(5)))/5).

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

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

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

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

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

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

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

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

Insphere Radius of Rhombic Triacontahedron given Midsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Rhombic Triacontahedron given Midsphere Radius can be measured.

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