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Insphere Radius of Deltoidal Icositetrahedron Formula

GoInsphere Radius of Deltoidal Icositetrahedron given Short Edge Formula

GoInsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal 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 l e(Long)

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

Insphere Radius of Deltoidal Icositetrahedron Example

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

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

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

22.5475 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot 20

22.5475m = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot 20m

22.5475 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot 20

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Insphere Radius of Deltoidal Icositetrahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot 20m

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot 20

Next Step Evaluate

∴

r i = 22.5475193459076m

LAST Step Rounding Answer

∴

r i = 22.5475m

Insphere Radius of Deltoidal Icositetrahedron Formula Elements

Variables

Functions

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

Long Edge of Deltoidal Icositetrahedron

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

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge 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 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 Symmetry Diagonal

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

Insphere Radius of Deltoidal Icositetrahedron evaluator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron to evaluate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron 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. Insphere Radius of Deltoidal Icositetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Deltoidal Icositetrahedron

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

The formula of Insphere Radius of Deltoidal Icositetrahedron is expressed as Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron. Here is an example- 22.54752 = sqrt((22+(15*sqrt(2)))/34)*20.

How to calculate Insphere Radius of Deltoidal Icositetrahedron?

With Long Edge of Deltoidal Icositetrahedron (l_e(Long)) we can find Insphere Radius of Deltoidal Icositetrahedron using the formula - Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron. 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)*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Insphere Radius of Deltoidal Icositetrahedron=sqrt((22+(15*sqrt(2)))/34)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*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 be negative?

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

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

Insphere Radius of Deltoidal Icositetrahedron 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 can be measured.

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