Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
rm = (1+sqrt(2))/2*ri/(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
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.
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
rm = (1+sqrt(2))/2*ri/(sqrt((22+(15*sqrt(2)))/34)) --> (1+sqrt(2))/2*22/(sqrt((22+(15*sqrt(2)))/34))
Evaluating ... ...
rm = 23.5558943568877
STEP 3: Convert Result to Output's Unit
23.5558943568877 Meter --> No Conversion Required
FINAL ANSWER
23.5558943568877 23.55589 Meter <-- Midsphere Radius of Deltoidal Icositetrahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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 Insphere Radius Formula

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

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 Insphere Radius?

Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius calculator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)) to calculate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius 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 insphere radius of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius, enter Insphere Radius of Deltoidal Icositetrahedron (ri) and hit the calculate button. Here is how the Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius calculation can be explained with given input values -> 23.55589 = (1+sqrt(2))/2*22/(sqrt((22+(15*sqrt(2)))/34)).

FAQ

What is Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius?
Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius 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 insphere radius of the Deltoidal Icositetrahedron and is represented as rm = (1+sqrt(2))/2*ri/(sqrt((22+(15*sqrt(2)))/34)) or Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*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 Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius?
Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius 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 insphere radius of the Deltoidal Icositetrahedron is calculated using Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). To calculate Midsphere Radius of Deltoidal Icositetrahedron given Insphere Radius, you need Insphere Radius of Deltoidal Icositetrahedron (ri). 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 Midsphere Radius of Deltoidal Icositetrahedron?
In this formula, Midsphere Radius of Deltoidal Icositetrahedron uses Insphere Radius 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*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*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*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
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