Insphere Radius of Deltoidal Icositetrahedron Calculator

✖Long Edge of Deltoidal Icositetrahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.ⓘ Long Edge of Deltoidal Icositetrahedron [l_e(Long)]

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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.ⓘ Insphere Radius of Deltoidal Icositetrahedron [r_i]

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Formula

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Insphere Radius of Deltoidal Icositetrahedron

Formula

`"r"_{"i"} = sqrt((22+(15*sqrt(2)))/34)*"l"_{"e(Long)"}`

Example

`"22.54752m"=sqrt((22+(15*sqrt(2)))/34)*"20m"`

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Insphere Radius of Deltoidal Icositetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron
r_i = sqrt((22+(15*sqrt(2)))/34)*l_e(Long)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Insphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - 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.
Long Edge of Deltoidal Icositetrahedron - (Measured in Meter) - Long Edge of Deltoidal Icositetrahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Deltoidal Icositetrahedron: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt((22+(15*sqrt(2)))/34)*l_e(Long) --> sqrt((22+(15*sqrt(2)))/34)*20

Evaluating ... ...

r_i = 22.5475193459076

STEP 3: Convert Result to Output's Unit

22.5475193459076 Meter --> No Conversion Required

FINAL ANSWER

22.5475193459076 ≈ 22.54752 Meter <-- Insphere Radius of Deltoidal Icositetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 8 Insphere Radius of Deltoidal Icositetrahedron Calculators

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area

Go 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)))))

Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio

Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))

Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

Insphere Radius of Deltoidal Icositetrahedron given Volume

Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)

Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

Go 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 given Midsphere Radius

Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))

Insphere Radius of Deltoidal Icositetrahedron given Short Edge

Go 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

Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron Formula

Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron
r_i = sqrt((22+(15*sqrt(2)))/34)*l_e(Long)

What is Deltoidal Icositetrahedron?

A Deltoidal Icositetrahedron is a polyhedron with deltoid (kite) faces, those have three angles with 81.579° and one with 115.263°. It has eight vertices with three edges and eighteen vertices with four edges. In total, it has 24 faces, 48 edges, 26 vertices.

How to Calculate Insphere Radius of Deltoidal Icositetrahedron?

Insphere Radius of Deltoidal Icositetrahedron calculator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron to calculate 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 calculate Insphere Radius of Deltoidal Icositetrahedron using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Icositetrahedron, enter Long Edge of Deltoidal Icositetrahedron (l_e(Long)) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Icositetrahedron calculation can be explained with given input values -> 22.54752 = sqrt((22+(15*sqrt(2)))/34)*20.

FAQ

What is 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 and is represented as r_i = sqrt((22+(15*sqrt(2)))/34)*l_e(Long) or Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron. Long Edge of Deltoidal Icositetrahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.

How to calculate 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 is calculated using Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron. To calculate Insphere Radius of Deltoidal Icositetrahedron, you need Long Edge of Deltoidal Icositetrahedron (l_e(Long)). With our tool, you need to enter the respective value for Long Edge of Deltoidal Icositetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Insphere Radius of Deltoidal Icositetrahedron?

In this formula, Insphere Radius of Deltoidal Icositetrahedron uses Long Edge of Deltoidal Icositetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

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))))
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)))))
Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))

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