Symmetry 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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✖Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.ⓘ Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius [d_Symmetry]

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Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Symmetry Diagonal of Deltoidal Hexecontahedron - (Measured in Meter) - Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.
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_Symmetry = sqrt((5-sqrt(5))/20)*(2*r_i)/(sqrt((135+(59*sqrt(5)))/205)) --> sqrt((5-sqrt(5))/20)*(2*17)/(sqrt((135+(59*sqrt(5)))/205))

Evaluating ... ...

d_Symmetry = 11.0766250187075

STEP 3: Convert Result to Output's Unit

11.0766250187075 Meter --> No Conversion Required

FINAL ANSWER

11.0766250187075 ≈ 11.07663 Meter <-- Symmetry Diagonal of Deltoidal Hexecontahedron

(Calculation completed in 00.020 seconds)

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< Symmetry Diagonal of Deltoidal Hexecontahedron Calculators

Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area

LaTeX Go Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5)))))

Symmetry Diagonal of Deltoidal Hexecontahedron given NonSymmetry Diagonal

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

Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge

LaTeX Go Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5))

Symmetry Diagonal of Deltoidal Hexecontahedron

LaTeX Go Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron

Symmetry 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 Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius?

Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius calculator uses Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(2*Insphere Radius of Deltoidal Hexecontahedron)/(sqrt((135+(59*sqrt(5)))/205)) to calculate the Symmetry Diagonal of Deltoidal Hexecontahedron, Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using insphere radius of Deltoidal Hexecontahedron. Symmetry Diagonal of Deltoidal Hexecontahedron is denoted by d_Symmetry symbol.

How to calculate Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius using this online calculator? To use this online calculator for Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (r_i) and hit the calculate button. Here is how the Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius calculation can be explained with given input values -> 11.07663 = sqrt((5-sqrt(5))/20)*(2*17)/(sqrt((135+(59*sqrt(5)))/205)).

FAQ

What is Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius?

Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using insphere radius of Deltoidal Hexecontahedron and is represented as d_Symmetry = sqrt((5-sqrt(5))/20)*(2*r_i)/(sqrt((135+(59*sqrt(5)))/205)) or Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(2*Insphere Radius of Deltoidal Hexecontahedron)/(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 Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius?

Symmetry Diagonal of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using insphere radius of Deltoidal Hexecontahedron is calculated using Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(2*Insphere Radius of Deltoidal Hexecontahedron)/(sqrt((135+(59*sqrt(5)))/205)). To calculate Symmetry 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 Symmetry Diagonal of Deltoidal Hexecontahedron?

In this formula, Symmetry 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 -

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

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