Midsphere Radius 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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✖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 Insphere Radius [r_m]

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Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

r_m = 3/20*(5+(3*sqrt(5)))*(2*r_i)/(3*sqrt((135+(59*sqrt(5)))/205)) --> 3/20*(5+(3*sqrt(5)))*(2*17)/(3*sqrt((135+(59*sqrt(5)))/205))

Evaluating ... ...

r_m = 17.4429146331831

STEP 3: Convert Result to Output's Unit

17.4429146331831 Meter --> No Conversion Required

FINAL ANSWER

17.4429146331831 ≈ 17.44291 Meter <-- Midsphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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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 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 Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius?

Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius calculator uses Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)) to calculate the Midsphere Radius of Deltoidal Hexecontahedron, Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius formula is defined as radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using insphere radius of Deltoidal Hexecontahedron. Midsphere Radius of Deltoidal Hexecontahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (r_i) and hit the calculate button. Here is how the Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius calculation can be explained with given input values -> 17.44291 = 3/20*(5+(3*sqrt(5)))*(2*17)/(3*sqrt((135+(59*sqrt(5)))/205)).

FAQ

What is Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius?

Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius formula is defined as radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using insphere radius of Deltoidal Hexecontahedron and is represented as r_m = 3/20*(5+(3*sqrt(5)))*(2*r_i)/(3*sqrt((135+(59*sqrt(5)))/205)) or Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(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 Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius?

Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius formula is defined as radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using insphere radius of Deltoidal Hexecontahedron is calculated using Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)). To calculate Midsphere Radius 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 Midsphere Radius of Deltoidal Hexecontahedron?

In this formula, Midsphere Radius 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 -

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)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

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