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Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius 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{2 \cdot r m}{1 + \sqrt{2}}

r_i - Insphere Radius of Deltoidal Icositetrahedron?r_m - Midsphere Radius of Deltoidal Icositetrahedron?

Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius Example

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

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

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

22.4148 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{2 \cdot 24}{1 + \sqrt{2}}

22.4148m = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{2 \cdot 24m}{1 + \sqrt{2}}

22.4148 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{2 \cdot 24}{1 + \sqrt{2}}

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Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{2 \cdot r m}{1 + \sqrt{2}}

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{2 \cdot 24m}{1 + \sqrt{2}}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{2 \cdot 24}{1 + \sqrt{2}}

Next Step Evaluate

∴

r i = 22.4147719462672m

LAST Step Rounding Answer

∴

r i = 22.4148m

Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius 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

Midsphere Radius of Deltoidal Icositetrahedron

Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 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 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})}}

How to Evaluate Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius?

Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius evaluator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)) to evaluate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius 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 midsphere radius of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius

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

The formula of Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius is expressed as Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). Here is an example- 22.41477 = sqrt((22+(15*sqrt(2)))/34)*(2*24)/(1+sqrt(2)).

How to calculate Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius?

With Midsphere Radius of Deltoidal Icositetrahedron (r_m) we can find Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius using the formula - Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+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)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

Can the Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius be negative?

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

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

Insphere Radius of Deltoidal Icositetrahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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