Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal Calculator

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

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✖Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.ⓘ Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal [r_i]

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Formula

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Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

Formula

`"r"_{"i"} = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*"d"_{"Non Symmetry"})/(sqrt((470+(156*sqrt(5)))/5))`

Example

`"17.65527m"=3/2*sqrt((135+(59*sqrt(5)))/205)*(11*"12m")/(sqrt((470+(156*sqrt(5)))/5))`

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Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*d_{Non Symmetry})/(sqrt((470+(156*sqrt(5)))/5))
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 Hexecontahedron - (Measured in Meter) - Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.
NonSymmetry Diagonal of Deltoidal Hexecontahedron - (Measured in Meter) - NonSymmetry Diagonal of Deltoidal Hexecontahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles.

STEP 1: Convert Input(s) to Base Unit

NonSymmetry Diagonal of Deltoidal Hexecontahedron: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*d_{Non Symmetry})/(sqrt((470+(156*sqrt(5)))/5)) --> 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*12)/(sqrt((470+(156*sqrt(5)))/5))

Evaluating ... ...

r_i = 17.6552700327428

STEP 3: Convert Result to Output's Unit

17.6552700327428 Meter --> No Conversion Required

FINAL ANSWER

17.6552700327428 ≈ 17.65527 Meter <-- Insphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 8 Insphere Radius of Deltoidal Hexecontahedron Calculators

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio

Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25)

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area

Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))

Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Insphere Radius of Deltoidal Hexecontahedron given Volume

Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius

Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))

Insphere Radius of Deltoidal Hexecontahedron given Short Edge

Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

Insphere Radius of Deltoidal Hexecontahedron

Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal Formula

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal?

Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal calculator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)) to calculate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using nonsymmetry diagonal of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal, enter NonSymmetry Diagonal of Deltoidal Hexecontahedron (d_{Non Symmetry}) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal calculation can be explained with given input values -> 17.65527 = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*12)/(sqrt((470+(156*sqrt(5)))/5)).

FAQ

What is Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal?

Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using nonsymmetry diagonal of Deltoidal Hexecontahedron and is represented as r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*d_{Non Symmetry})/(sqrt((470+(156*sqrt(5)))/5)) or Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)). NonSymmetry Diagonal of Deltoidal Hexecontahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles.

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

Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using nonsymmetry diagonal of Deltoidal Hexecontahedron is calculated using Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)). To calculate Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal, you need NonSymmetry Diagonal of Deltoidal Hexecontahedron (d_{Non Symmetry}). With our tool, you need to enter the respective value for NonSymmetry Diagonal of Deltoidal Hexecontahedron 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 Hexecontahedron?

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

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25)

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