Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Calculator

✖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 [d_Symmetry]

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✖Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal [r_m]

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Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
r_m = 3/20*(5+(3*sqrt(5)))*d_Symmetry/(3*sqrt((5-sqrt(5))/20))
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 Hexecontahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.
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.

STEP 1: Convert Input(s) to Base Unit

Symmetry Diagonal of Deltoidal Hexecontahedron: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = 3/20*(5+(3*sqrt(5)))*d_Symmetry/(3*sqrt((5-sqrt(5))/20)) --> 3/20*(5+(3*sqrt(5)))*11/(3*sqrt((5-sqrt(5))/20))

Evaluating ... ...

r_m = 17.322249389228

STEP 3: Convert Result to Output's Unit

17.322249389228 Meter --> No Conversion Required

FINAL ANSWER

17.322249389228 ≈ 17.32225 Meter <-- Midsphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.020 seconds)

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< Midsphere Radius of Deltoidal Hexecontahedron Calculators

Midsphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

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

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Midsphere Radius of Deltoidal Hexecontahedron given Short Edge

LaTeX Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

Midsphere Radius of Deltoidal Hexecontahedron

LaTeX Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal 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 Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal calculator uses Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)) to calculate the Midsphere Radius of Deltoidal Hexecontahedron, Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using symmetry diagonal of Deltoidal Hexecontahedron. Midsphere Radius of Deltoidal Hexecontahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal using this online calculator? To use this online calculator for Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal, enter Symmetry Diagonal of Deltoidal Hexecontahedron (d_Symmetry) and hit the calculate button. Here is how the Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal calculation can be explained with given input values -> 17.32225 = 3/20*(5+(3*sqrt(5)))*11/(3*sqrt((5-sqrt(5))/20)).

FAQ

What is Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using symmetry diagonal of Deltoidal Hexecontahedron and is represented as r_m = 3/20*(5+(3*sqrt(5)))*d_Symmetry/(3*sqrt((5-sqrt(5))/20)) or Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)). Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.

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

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using symmetry diagonal of Deltoidal Hexecontahedron is calculated using Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)). To calculate Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal, you need Symmetry Diagonal of Deltoidal Hexecontahedron (d_Symmetry). With our tool, you need to enter the respective value for Symmetry 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 Midsphere Radius of Deltoidal Hexecontahedron?

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

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

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