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Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius Formula

GoSymmetry Diagonal of Deltoidal Hexecontahedron Formula

GoSymmetry Diagonal of Deltoidal Hexecontahedron given Short Edge Formula

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Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves. Check FAQs

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

d_Symmetry - Symmetry Diagonal of Deltoidal Hexecontahedron?r_i - Insphere Radius of Deltoidal Hexecontahedron?

Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius Example

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

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

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

11.0766 = \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot \frac{2 \cdot 17}{\sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

11.0766m = \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot \frac{2 \cdot 17m}{\sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

11.0766 = \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot \frac{2 \cdot 17}{\sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

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Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Symmetry = \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot \frac{2 \cdot 17m}{\sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Prepare to Evaluate

∴

d Symmetry = \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot \frac{2 \cdot 17}{\sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Evaluate

∴

d Symmetry = 11.0766250187075m

LAST Step Rounding Answer

∴

d Symmetry = 11.0766m

Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius Formula Elements

Variables

Functions

Symmetry Diagonal of Deltoidal Hexecontahedron

Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.

Symbol: d_Symmetry

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Symmetry Diagonal of Deltoidal Hexecontahedron

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

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 Symmetry Diagonal of Deltoidal Hexecontahedron

Go Symmetry Diagonal of Deltoidal Hexecontahedron

d Symmetry = 3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot l e(Long)

Go Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge

d Symmetry = \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot \frac{22 \cdot l e(Short)}{7 - \sqrt{5}}

Go Symmetry Diagonal of Deltoidal Hexecontahedron given NonSymmetry Diagonal

d Symmetry = 3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

Go Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area

d Symmetry = \sqrt{\frac{5 - \sqrt{5}}{20}} \cdot \sqrt{\frac{11 \cdot TSA}{\sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

How to Evaluate Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius?

Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius evaluator uses Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(2*Insphere Radius of Deltoidal Hexecontahedron)/(sqrt((135+(59*sqrt(5)))/205)) to evaluate the Symmetry Diagonal of Deltoidal Hexecontahedron, Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using insphere radius of Deltoidal Hexecontahedron. Symmetry Diagonal of Deltoidal Hexecontahedron is denoted by d_Symmetry symbol.

How to evaluate Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius using this online evaluator? To use this online evaluator for Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (r_i) and hit the calculate button.

FAQs on Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius

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

The formula of Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius is expressed as Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(2*Insphere Radius of Deltoidal Hexecontahedron)/(sqrt((135+(59*sqrt(5)))/205)). Here is an example- 11.07663 = sqrt((5-sqrt(5))/20)*(2*17)/(sqrt((135+(59*sqrt(5)))/205)).

How to calculate Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius?

With Insphere Radius of Deltoidal Hexecontahedron (r_i) we can find Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius using the formula - Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(2*Insphere Radius of Deltoidal Hexecontahedron)/(sqrt((135+(59*sqrt(5)))/205)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Symmetry Diagonal of Deltoidal Hexecontahedron?

Here are the different ways to Calculate Symmetry Diagonal of Deltoidal Hexecontahedron-

Symmetry Diagonal of Deltoidal Hexecontahedron=3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron
Symmetry Diagonal of Deltoidal Hexecontahedron=sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5))
Symmetry Diagonal of Deltoidal Hexecontahedron=3*sqrt((5-sqrt(5))/20)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Can the Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius be negative?

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

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

Symmetry Diagonal of Deltoidal Hexecontahedron 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 Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius can be measured.

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