Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius Calculator

✖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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✖Symmetry Diagonal of Deltoidal Icositetrahedron is the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves.ⓘ Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius [d_Symmetry]

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Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
d_Symmetry = sqrt(46+(15*sqrt(2)))/7*r_i/(sqrt((22+(15*sqrt(2)))/34))
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

Symmetry Diagonal of Deltoidal Icositetrahedron - (Measured in Meter) - Symmetry Diagonal of Deltoidal Icositetrahedron is the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves.
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.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Deltoidal Icositetrahedron: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Symmetry = sqrt(46+(15*sqrt(2)))/7*r_i/(sqrt((22+(15*sqrt(2)))/34)) --> sqrt(46+(15*sqrt(2)))/7*22/(sqrt((22+(15*sqrt(2)))/34))

Evaluating ... ...

d_Symmetry = 22.8551020928753

STEP 3: Convert Result to Output's Unit

22.8551020928753 Meter --> No Conversion Required

FINAL ANSWER

22.8551020928753 ≈ 22.8551 Meter <-- Symmetry Diagonal of Deltoidal Icositetrahedron

(Calculation completed in 00.013 seconds)

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< Symmetry Diagonal of Deltoidal Icositetrahedron Calculators

Symmetry Diagonal of Deltoidal Icositetrahedron given Total Surface Area

LaTeX Go Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))

Symmetry Diagonal of Deltoidal Icositetrahedron given NonSymmetry Diagonal

LaTeX Go Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

Symmetry Diagonal of Deltoidal Icositetrahedron given Short Edge

LaTeX Go Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))

Symmetry Diagonal of Deltoidal Icositetrahedron

LaTeX Go Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Long Edge of Deltoidal Icositetrahedron

Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius 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 Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius?

Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius calculator uses Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)) to calculate the Symmetry Diagonal of Deltoidal Icositetrahedron, The Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using insphere radius of Deltoidal Icositetrahedron. Symmetry Diagonal of Deltoidal Icositetrahedron is denoted by d_Symmetry symbol.

How to calculate Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius using this online calculator? To use this online calculator for Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius, enter Insphere Radius of Deltoidal Icositetrahedron (r_i) and hit the calculate button. Here is how the Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius calculation can be explained with given input values -> 22.8551 = sqrt(46+(15*sqrt(2)))/7*22/(sqrt((22+(15*sqrt(2)))/34)).

FAQ

What is Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius?

The Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using insphere radius of Deltoidal Icositetrahedron and is represented as d_Symmetry = sqrt(46+(15*sqrt(2)))/7*r_i/(sqrt((22+(15*sqrt(2)))/34)) or Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). 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.

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

The Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using insphere radius of Deltoidal Icositetrahedron is calculated using Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). To calculate Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius, you need Insphere Radius of Deltoidal Icositetrahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 Symmetry Diagonal of Deltoidal Icositetrahedron?

In this formula, Symmetry Diagonal of Deltoidal Icositetrahedron uses Insphere Radius of Deltoidal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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