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Insphere Radius of Rhombic Triacontahedron given Total Surface Area Formula

GoInsphere Radius of Rhombic Triacontahedron Formula

GoInsphere Radius of Rhombic Triacontahedron given Midsphere Radius 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 = \sqrt{\frac{TSA}{12 \cdot \sqrt{5}}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

r_i - Insphere Radius of Rhombic Triacontahedron?TSA - Total Surface Area of Rhombic Triacontahedron?

Insphere Radius of Rhombic Triacontahedron given Total Surface Area Example

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

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

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

13.8066 = \sqrt{\frac{2700}{12 \cdot \sqrt{5}}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

13.8066m = \sqrt{\frac{2700m²}{12 \cdot \sqrt{5}}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

13.8066 = \sqrt{\frac{2700}{12 \cdot \sqrt{5}}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

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Insphere Radius of Rhombic Triacontahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{2700m²}{12 \cdot \sqrt{5}}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{2700}{12 \cdot \sqrt{5}}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

Next Step Evaluate

∴

r i = 13.8066309788989m

LAST Step Rounding Answer

∴

r i = 13.8066m

Insphere Radius of Rhombic Triacontahedron given Total Surface Area 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

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 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 Midsphere Radius

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

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

Insphere Radius of Rhombic Triacontahedron given Total Surface Area evaluator uses Insphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*sqrt((5+(2*sqrt(5)))/5) to evaluate the Insphere Radius of Rhombic Triacontahedron, Insphere Radius of Rhombic Triacontahedron given Total Surface Area 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 total surface area of Rhombic Triacontahedron. Insphere Radius of Rhombic Triacontahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Rhombic Triacontahedron given Total Surface Area

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

The formula of Insphere Radius of Rhombic Triacontahedron given Total Surface Area is expressed as Insphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*sqrt((5+(2*sqrt(5)))/5). Here is an example- 13.80663 = sqrt(2700/(12*sqrt(5)))*sqrt((5+(2*sqrt(5)))/5).

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

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

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

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

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

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

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