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Insphere Radius of Deltoidal Hexecontahedron Formula

GoInsphere Radius of Deltoidal Hexecontahedron given Short Edge Formula

GoInsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Formula

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Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere. Check FAQs

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot l e(Long)

r_i - Insphere Radius of Deltoidal Hexecontahedron?l_e(Long) - Long Edge of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron Example

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Here is how the Insphere Radius of Deltoidal Hexecontahedron equation looks like with Values.

Here is how the Insphere Radius of Deltoidal Hexecontahedron equation looks like with Units.

Here is how the Insphere Radius of Deltoidal Hexecontahedron equation looks like.

17.1164 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot 10

17.1164m = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot 10m

17.1164 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot 10

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Insphere Radius of Deltoidal Hexecontahedron Solution

Follow our step by step solution on how to calculate Insphere Radius of Deltoidal Hexecontahedron?

FIRST Step Consider the formula

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot l e(Long)

Next Step Substitute values of Variables

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot 10m

Next Step Prepare to Evaluate

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot 10

Next Step Evaluate

∴

r i = 17.1163596541808m

LAST Step Rounding Answer

∴

r i = 17.1164m

Insphere Radius of Deltoidal Hexecontahedron Formula Elements

Variables

Functions

Insphere Radius of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Hexecontahedron

Long Edge of Deltoidal Hexecontahedron

Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Deltoidal Hexecontahedron

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 Deltoidal Hexecontahedron

Go Insphere Radius of Deltoidal Hexecontahedron given Short Edge

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})}

Go Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

Go Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \sqrt{\frac{11 \cdot TSA}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

How to Evaluate Insphere Radius of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron evaluator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron to evaluate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Deltoidal Hexecontahedron using this online evaluator? To use this online evaluator for Insphere Radius of Deltoidal Hexecontahedron, enter Long Edge of Deltoidal Hexecontahedron (l_e(Long)) and hit the calculate button.

FAQs on Insphere Radius of Deltoidal Hexecontahedron

What is the formula to find Insphere Radius of Deltoidal Hexecontahedron?

The formula of Insphere Radius of Deltoidal Hexecontahedron is expressed as Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron. Here is an example- 17.11636 = 3/2*sqrt((135+(59*sqrt(5)))/205)*10.

How to calculate Insphere Radius of Deltoidal Hexecontahedron?

With Long Edge of Deltoidal Hexecontahedron (l_e(Long)) we can find Insphere Radius of Deltoidal Hexecontahedron using the formula - Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Deltoidal Hexecontahedron?

Here are the different ways to Calculate Insphere Radius of Deltoidal Hexecontahedron-

Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Can the Insphere Radius of Deltoidal Hexecontahedron be negative?

No, the Insphere Radius of Deltoidal Hexecontahedron, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron 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 Deltoidal Hexecontahedron can be measured.

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