NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius Calculator

✖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 [r_i]

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✖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 given Insphere Radius [d_{Non Symmetry}]

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NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205))
d_{Non Symmetry} = sqrt((470+(156*sqrt(5)))/5)/11*(2*r_i)/(3*sqrt((135+(59*sqrt(5)))/205))
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Deltoidal Hexecontahedron: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_{Non Symmetry} = sqrt((470+(156*sqrt(5)))/5)/11*(2*r_i)/(3*sqrt((135+(59*sqrt(5)))/205)) --> sqrt((470+(156*sqrt(5)))/5)/11*(2*17)/(3*sqrt((135+(59*sqrt(5)))/205))

Evaluating ... ...

d_{Non Symmetry} = 11.5546236121945

STEP 3: Convert Result to Output's Unit

11.5546236121945 Meter --> No Conversion Required

FINAL ANSWER

11.5546236121945 ≈ 11.55462 Meter <-- NonSymmetry Diagonal of Deltoidal Hexecontahedron

(Calculation completed in 00.007 seconds)

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< Non Symmetry Diagonal of Deltoidal Hexecontahedron Calculators

NonSymmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area

LaTeX Go NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))

NonSymmetry Diagonal of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

NonSymmetry Diagonal of Deltoidal Hexecontahedron given Short Edge

LaTeX Go NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

NonSymmetry Diagonal of Deltoidal Hexecontahedron

LaTeX Go NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*Long Edge of Deltoidal Hexecontahedron

NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius Formula

LaTeX Go

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 NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius?

NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius calculator uses NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)) to calculate the NonSymmetry Diagonal of Deltoidal Hexecontahedron, NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the length of the diagonal which divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles, calculated using insphere radius of Deltoidal Hexecontahedron. NonSymmetry Diagonal of Deltoidal Hexecontahedron is denoted by d_{Non Symmetry} symbol.

How to calculate NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius using this online calculator? To use this online calculator for NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (r_i) and hit the calculate button. Here is how the NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius calculation can be explained with given input values -> 11.55462 = sqrt((470+(156*sqrt(5)))/5)/11*(2*17)/(3*sqrt((135+(59*sqrt(5)))/205)).

FAQ

What is NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius?

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

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

NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the length of the diagonal which divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles, calculated using insphere radius of Deltoidal Hexecontahedron is calculated using NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)). To calculate NonSymmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius, you need Insphere Radius of Deltoidal Hexecontahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 NonSymmetry Diagonal of Deltoidal Hexecontahedron?

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

NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*Long Edge of Deltoidal Hexecontahedron
NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
NonSymmetry Diagonal of Deltoidal Hexecontahedron = sqrt((470+(156*sqrt(5)))/5)/11*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

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