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Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius Formula

GoSymmetry Diagonal of Deltoidal Icositetrahedron Formula

GoSymmetry Diagonal of Deltoidal Icositetrahedron given Short Edge Formula

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

d Symmetry = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{r i}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

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

Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius Example

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

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

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

22.8551 = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

22.8551m = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{22m}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

22.8551 = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

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Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

d Symmetry = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{r i}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

Next Step Substitute values of Variables

∴

d Symmetry = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{22m}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

Next Step Prepare to Evaluate

∴

d Symmetry = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

Next Step Evaluate

∴

d Symmetry = 22.8551020928753m

LAST Step Rounding Answer

∴

d Symmetry = 22.8551m

Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius Formula Elements

Variables

Functions

Symmetry Diagonal of Deltoidal Icositetrahedron

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

Symbol: d_Symmetry

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Symmetry Diagonal of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Icositetrahedron

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 Icositetrahedron

Go Symmetry Diagonal of Deltoidal Icositetrahedron

d Symmetry = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot l e(Long)

Go Symmetry Diagonal of Deltoidal Icositetrahedron given Short Edge

d Symmetry = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{7 \cdot l e(Short)}{4 + \sqrt{2}}

Go Symmetry Diagonal of Deltoidal Icositetrahedron given NonSymmetry Diagonal

d Symmetry = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Go Symmetry Diagonal of Deltoidal Icositetrahedron given Total Surface Area

d Symmetry = \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7} \cdot \sqrt{\frac{7 \cdot TSA}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

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

Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius evaluator uses Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)) to evaluate the Symmetry Diagonal of Deltoidal Icositetrahedron, The Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using insphere radius of Deltoidal Icositetrahedron. Symmetry Diagonal of Deltoidal Icositetrahedron is denoted by d_Symmetry symbol.

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

FAQs on Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius

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

The formula of Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius is expressed as Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). Here is an example- 22.8551 = sqrt(46+(15*sqrt(2)))/7*22/(sqrt((22+(15*sqrt(2)))/34)).

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

With Insphere Radius of Deltoidal Icositetrahedron (r_i) we can find Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius using the formula - Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). This formula also uses Square Root (sqrt) function(s).

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

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

Symmetry Diagonal of Deltoidal Icositetrahedron=sqrt(46+(15*sqrt(2)))/7*Long Edge of Deltoidal Icositetrahedron
Symmetry Diagonal of Deltoidal Icositetrahedron=sqrt(46+(15*sqrt(2)))/7*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Symmetry Diagonal of Deltoidal Icositetrahedron=sqrt(46+(15*sqrt(2)))/7*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

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

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

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

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

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