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Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area 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 \sqrt{\frac{7 \cdot TSA}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

r_i - Insphere Radius of Deltoidal Icositetrahedron?TSA - Total Surface Area of Deltoidal Icositetrahedron?

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area Example

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

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

Here is how the Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area equation looks like.

22.555 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \sqrt{\frac{7 \cdot 7350}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

22.555m = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \sqrt{\frac{7 \cdot 7350m²}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

22.555 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \sqrt{\frac{7 \cdot 7350}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

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Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \sqrt{\frac{7 \cdot 7350m²}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \sqrt{\frac{7 \cdot 7350}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

Next Step Evaluate

∴

r i = 22.5549577820531m

LAST Step Rounding Answer

∴

r i = 22.555m

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area 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

Total Surface Area of Deltoidal Icositetrahedron

Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Total Surface Area?

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area evaluator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))) to evaluate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area 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 total surface area of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area

What is the formula to find Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

The formula of Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area is expressed as Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))). Here is an example- 22.55496 = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*7350)/(12*sqrt(61+(38*sqrt(2))))).

How to calculate Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

With Total Surface Area of Deltoidal Icositetrahedron (TSA) we can find Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area using the formula - Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*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 Total Surface Area be negative?

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

Which unit is used to measure Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area 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 Total Surface Area can be measured.

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