Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Calculator

✖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 [d_Symmetry]

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✖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 given Symmetry Diagonal [r_m]

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Formula

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Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

Formula

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

Example

`"23.70524m"=(1+sqrt(2))/2*(7*"23m")/(sqrt(46+(15*sqrt(2))))`

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Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Symmetry Diagonal of Deltoidal Icositetrahedron: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = (1+sqrt(2))/2*(7*d_Symmetry)/(sqrt(46+(15*sqrt(2)))) --> (1+sqrt(2))/2*(7*23)/(sqrt(46+(15*sqrt(2))))

Evaluating ... ...

r_m = 23.7052351814832

STEP 3: Convert Result to Output's Unit

23.7052351814832 Meter --> No Conversion Required

FINAL ANSWER

23.7052351814832 ≈ 23.70524 Meter <-- Midsphere 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 Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< 8 Midsphere Radius of Deltoidal Icositetrahedron Calculators

Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))

Midsphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

Midsphere Radius of Deltoidal Icositetrahedron given Volume

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

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

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

Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius

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

Midsphere Radius of Deltoidal Icositetrahedron given Short Edge

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))

Midsphere Radius of Deltoidal Icositetrahedron

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Long Edge of Deltoidal Icositetrahedron

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Formula

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

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal calculator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))) to calculate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using symmetry diagonal of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal using this online calculator? To use this online calculator for Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal, enter Symmetry Diagonal of Deltoidal Icositetrahedron (d_Symmetry) and hit the calculate button. Here is how the Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal calculation can be explained with given input values -> 23.70524 = (1+sqrt(2))/2*(7*23)/(sqrt(46+(15*sqrt(2)))).

FAQ

What is Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal?

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using symmetry diagonal of the Deltoidal Icositetrahedron and is represented as r_m = (1+sqrt(2))/2*(7*d_Symmetry)/(sqrt(46+(15*sqrt(2)))) or Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))). Symmetry Diagonal of Deltoidal Icositetrahedron is the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves.

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

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using symmetry diagonal of the Deltoidal Icositetrahedron is calculated using Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))). To calculate Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal, you need Symmetry Diagonal of Deltoidal Icositetrahedron (d_Symmetry). With our tool, you need to enter the respective value for Symmetry 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 Midsphere Radius of Deltoidal Icositetrahedron?

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

Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Long Edge of Deltoidal Icositetrahedron
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))

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