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Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Formula

GoInsphere Radius of Deltoidal Icositetrahedron Formula

GoInsphere Radius of Deltoidal Icositetrahedron given Short Edge Formula

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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. Check FAQs

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

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

Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Example

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

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

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

22.1395 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{7 \cdot 23}{\sqrt{46 + (15 \cdot \sqrt{2})}}

22.1395m = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{7 \cdot 23m}{\sqrt{46 + (15 \cdot \sqrt{2})}}

22.1395 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{7 \cdot 23}{\sqrt{46 + (15 \cdot \sqrt{2})}}

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Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{7 \cdot 23m}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{7 \cdot 23}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Next Step Evaluate

∴

r i = 22.1394766885656m

LAST Step Rounding Answer

∴

r i = 22.1395m

Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Formula Elements

Variables

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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

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

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 Icositetrahedron

Go Insphere Radius of Deltoidal Icositetrahedron

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot l e(Long)

Go Insphere Radius of Deltoidal Icositetrahedron given Short Edge

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{7 \cdot l e(Short)}{4 + \sqrt{2}}

Go Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Go Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \sqrt{\frac{7 \cdot TSA}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

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

Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal evaluator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))) to evaluate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal formula is defined as the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touch the sphere, calculated using the symmetry diagonal of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

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

The formula of Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal is expressed as Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))). Here is an example- 22.13948 = sqrt((22+(15*sqrt(2)))/34)*(7*23)/(sqrt(46+(15*sqrt(2)))).

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

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

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

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

Insphere Radius of Deltoidal Icositetrahedron=sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron
Insphere Radius of Deltoidal Icositetrahedron=sqrt((22+(15*sqrt(2)))/34)*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Insphere Radius of Deltoidal Icositetrahedron=sqrt((22+(15*sqrt(2)))/34)*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

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

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

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

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

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