Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius Calculator

✖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.ⓘ Midsphere Radius of Deltoidal Icositetrahedron [r_m]

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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 Midsphere Radius [d_Symmetry]

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Formula

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Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius

Formula

`"d"_{"Symmetry"} = sqrt(46+(15*sqrt(2)))/7*(2*"r"_{"m"})/(1+sqrt(2))`

Example

`"23.286m"=sqrt(46+(15*sqrt(2)))/7*(2*"24m")/(1+sqrt(2))`

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Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
d_Symmetry = sqrt(46+(15*sqrt(2)))/7*(2*r_m)/(1+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

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.
Midsphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Icositetrahedron: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Symmetry = sqrt(46+(15*sqrt(2)))/7*(2*r_m)/(1+sqrt(2)) --> sqrt(46+(15*sqrt(2)))/7*(2*24)/(1+sqrt(2))

Evaluating ... ...

d_Symmetry = 23.2859955100206

STEP 3: Convert Result to Output's Unit

23.2859955100206 Meter --> No Conversion Required

FINAL ANSWER

23.2859955100206 ≈ 23.286 Meter <-- Symmetry Diagonal 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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< 8 Symmetry Diagonal of Deltoidal Icositetrahedron Calculators

Symmetry Diagonal of Deltoidal Icositetrahedron given Total Surface Area

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 Surface to Volume Ratio

Go Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))

Symmetry Diagonal of Deltoidal Icositetrahedron given NonSymmetry Diagonal

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 Volume

Go Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)

Symmetry Diagonal of Deltoidal Icositetrahedron given Insphere Radius

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

Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius

Go Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))

Symmetry Diagonal of Deltoidal Icositetrahedron given Short Edge

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

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

Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius Formula

Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
d_Symmetry = sqrt(46+(15*sqrt(2)))/7*(2*r_m)/(1+sqrt(2))

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 Midsphere Radius?

Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius calculator uses Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)) to calculate the Symmetry Diagonal of Deltoidal Icositetrahedron, The Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using midsphere radius of Deltoidal Icositetrahedron . Symmetry Diagonal of Deltoidal Icositetrahedron is denoted by d_Symmetry symbol.

How to calculate Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button. Here is how the Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 23.286 = sqrt(46+(15*sqrt(2)))/7*(2*24)/(1+sqrt(2)).

FAQ

What is Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius?

The Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using midsphere radius of Deltoidal Icositetrahedron and is represented as d_Symmetry = sqrt(46+(15*sqrt(2)))/7*(2*r_m)/(1+sqrt(2)) or Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). 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.

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

The Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves, calculated using midsphere radius of Deltoidal Icositetrahedron is calculated using Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). To calculate Symmetry Diagonal of Deltoidal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Icositetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius of Deltoidal Icositetrahedron. We can use 7 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))))
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 = sqrt(46+(15*sqrt(2)))/7*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
Symmetry Diagonal of Deltoidal Icositetrahedron = sqrt(46+(15*sqrt(2)))/7*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))

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