Midsphere Radius of Hexakis Icosahedron given Insphere Radius Calculator

✖Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Hexakis Icosahedron [r_i]

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✖Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Hexakis Icosahedron given Insphere Radius [r_m]

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Midsphere Radius of Hexakis Icosahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Hexakis Icosahedron = 1/8*(4*Insphere Radius of Hexakis Icosahedron/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5))
r_m = 1/8*(4*r_i/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(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

Midsphere Radius of Hexakis Icosahedron - (Measured in Meter) - Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.
Insphere Radius of Hexakis Icosahedron - (Measured in Meter) - Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Hexakis Icosahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = 1/8*(4*r_i/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5)) --> 1/8*(4*14/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5))

Evaluating ... ...

r_m = 14.1226311911297

STEP 3: Convert Result to Output's Unit

14.1226311911297 Meter --> No Conversion Required

FINAL ANSWER

14.1226311911297 ≈ 14.12263 Meter <-- Midsphere Radius of Hexakis Icosahedron

(Calculation completed in 00.020 seconds)

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< Midsphere Radius of Hexakis Icosahedron Calculators

Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

LaTeX Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))

Midsphere Radius of Hexakis Icosahedron given Medium Edge

LaTeX Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

Midsphere Radius of Hexakis Icosahedron given Short Edge

LaTeX Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))

Midsphere Radius of Hexakis Icosahedron

LaTeX Go Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5))

Midsphere Radius of Hexakis Icosahedron given Insphere Radius Formula

LaTeX Go

Midsphere Radius of Hexakis Icosahedron = 1/8*(4*Insphere Radius of Hexakis Icosahedron/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5))
r_m = 1/8*(4*r_i/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5))

What is Hexakis Icosahedron?

A Hexakis Icosahedron is a polyhedron with identical, but irregular triangle faces. It has thirty vertices with four edges, twenty vertices with six edges and twelve vertices with ten edges. It has 120 faces, 180 edges, 62 vertices.

How to Calculate Midsphere Radius of Hexakis Icosahedron given Insphere Radius?

Midsphere Radius of Hexakis Icosahedron given Insphere Radius calculator uses Midsphere Radius of Hexakis Icosahedron = 1/8*(4*Insphere Radius of Hexakis Icosahedron/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5)) to calculate the Midsphere Radius of Hexakis Icosahedron, The Midsphere Radius of Hexakis Icosahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using the insphere radius of Hexakis Icosahedron. Midsphere Radius of Hexakis Icosahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Hexakis Icosahedron given Insphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Hexakis Icosahedron given Insphere Radius, enter Insphere Radius of Hexakis Icosahedron (r_i) and hit the calculate button. Here is how the Midsphere Radius of Hexakis Icosahedron given Insphere Radius calculation can be explained with given input values -> 14.12263 = 1/8*(4*14/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5)).

FAQ

What is Midsphere Radius of Hexakis Icosahedron given Insphere Radius?

The Midsphere Radius of Hexakis Icosahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using the insphere radius of Hexakis Icosahedron and is represented as r_m = 1/8*(4*r_i/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5)) or Midsphere Radius of Hexakis Icosahedron = 1/8*(4*Insphere Radius of Hexakis Icosahedron/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5)). Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

How to calculate Midsphere Radius of Hexakis Icosahedron given Insphere Radius?

The Midsphere Radius of Hexakis Icosahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using the insphere radius of Hexakis Icosahedron is calculated using Midsphere Radius of Hexakis Icosahedron = 1/8*(4*Insphere Radius of Hexakis Icosahedron/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5)). To calculate Midsphere Radius of Hexakis Icosahedron given Insphere Radius, you need Insphere Radius of Hexakis Icosahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Hexakis Icosahedron 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 Hexakis Icosahedron?

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

Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

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