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Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius Formula

GoMidsphere Radius of Deltoidal Icositetrahedron Formula

GoMidsphere Radius of Deltoidal Icositetrahedron given Short Edge Formula

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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. Check FAQs

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

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

Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius Example

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

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

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

23.5559 = \frac{1 + \sqrt{2}}{2} \cdot \frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

23.5559m = \frac{1 + \sqrt{2}}{2} \cdot \frac{22m}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

23.5559 = \frac{1 + \sqrt{2}}{2} \cdot \frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

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Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r m = 23.5558943568877m

LAST Step Rounding Answer

∴

r m = 23.5559m

Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius Formula Elements

Variables

Functions

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

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 Midsphere Radius of Deltoidal Icositetrahedron

Go Midsphere Radius of Deltoidal Icositetrahedron

r m = \frac{1 + \sqrt{2}}{2} \cdot l e(Long)

Go Midsphere Radius of Deltoidal Icositetrahedron given Short Edge

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot l e(Short)}{4 + \sqrt{2}}

Go Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot d Symmetry}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Go Midsphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}}

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

Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius evaluator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)) to evaluate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using insphere radius of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius

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

The formula of Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius is expressed as Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). Here is an example- 23.55589 = (1+sqrt(2))/2*22/(sqrt((22+(15*sqrt(2)))/34)).

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

With Insphere Radius of Deltoidal Icositetrahedron (r_i) we can find Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius using the formula - Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*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 Midsphere Radius of Deltoidal Icositetrahedron?

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

Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*Long Edge of Deltoidal Icositetrahedron
Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

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

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

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

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

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