Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal Calculator

✖NonSymmetry Diagonal of Deltoidal Icositetrahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Icositetrahedron into two isosceles triangles.ⓘ NonSymmetry Diagonal of Deltoidal Icositetrahedron [d_{Non Symmetry}]

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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 given NonSymmetry Diagonal [r_i]

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Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))
r_i = sqrt((22+(15*sqrt(2)))/34)*(2*d_{Non Symmetry})/(sqrt(4+(2*sqrt(2))))
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.
NonSymmetry Diagonal of Deltoidal Icositetrahedron - (Measured in Meter) - NonSymmetry Diagonal of Deltoidal Icositetrahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Icositetrahedron into two isosceles triangles.

STEP 1: Convert Input(s) to Base Unit

NonSymmetry Diagonal of Deltoidal Icositetrahedron: 26 Meter --> 26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt((22+(15*sqrt(2)))/34)*(2*d_{Non Symmetry})/(sqrt(4+(2*sqrt(2)))) --> sqrt((22+(15*sqrt(2)))/34)*(2*26)/(sqrt(4+(2*sqrt(2))))

Evaluating ... ...

r_i = 22.4342614459864

STEP 3: Convert Result to Output's Unit

22.4342614459864 Meter --> No Conversion Required

FINAL ANSWER

22.4342614459864 ≈ 22.43426 Meter <-- Insphere Radius of Deltoidal Icositetrahedron

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Insphere Radius of Deltoidal Icositetrahedron Calculators

Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

LaTeX 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 Symmetry Diagonal

LaTeX 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 Short Edge

LaTeX 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

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

Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal Formula

LaTeX Go

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 given NonSymmetry Diagonal?

Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal calculator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2)))) to calculate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal 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 non-symmetry diagonal of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal, enter NonSymmetry Diagonal of Deltoidal Icositetrahedron (d_{Non Symmetry}) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal calculation can be explained with given input values -> 22.43426 = sqrt((22+(15*sqrt(2)))/34)*(2*26)/(sqrt(4+(2*sqrt(2)))).

FAQ

What is Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal?

Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal 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 non-symmetry diagonal of Deltoidal Icositetrahedron and is represented as r_i = sqrt((22+(15*sqrt(2)))/34)*(2*d_{Non Symmetry})/(sqrt(4+(2*sqrt(2)))) or Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2)))). NonSymmetry Diagonal of Deltoidal Icositetrahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Icositetrahedron into two isosceles triangles.

How to calculate Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal?

Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal 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 non-symmetry diagonal of Deltoidal Icositetrahedron is calculated using Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2)))). To calculate Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal, you need NonSymmetry Diagonal of Deltoidal Icositetrahedron (d_{Non Symmetry}). With our tool, you need to enter the respective value for NonSymmetry Diagonal 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 NonSymmetry Diagonal of Deltoidal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))))

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