Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Pentagonal Icositetrahedron [r_m]

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✖Insphere Radius of Pentagonal Icositetrahedron is the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere.ⓘ Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius [r_i]

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Formula

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Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius

Formula

`"r"_{"i"} = "r"_{"m"}/sqrt(3-"[Tribonacci_C]")`

Example

`"12.06649m"="13m"/sqrt(3-"[Tribonacci_C]")`

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Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Pentagonal Icositetrahedron = Midsphere Radius of Pentagonal Icositetrahedron/sqrt(3-[Tribonacci_C])
r_i = r_m/sqrt(3-[Tribonacci_C])
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161

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

Insphere Radius of Pentagonal Icositetrahedron - (Measured in Meter) - Insphere Radius of Pentagonal Icositetrahedron is the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere.
Midsphere Radius of Pentagonal Icositetrahedron - (Measured in Meter) - Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Pentagonal Icositetrahedron: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = r_m/sqrt(3-[Tribonacci_C]) --> 13/sqrt(3-[Tribonacci_C])

Evaluating ... ...

r_i = 12.0664879138124

STEP 3: Convert Result to Output's Unit

12.0664879138124 Meter --> No Conversion Required

FINAL ANSWER

12.0664879138124 ≈ 12.06649 Meter <-- Insphere Radius of Pentagonal Icositetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 7 Insphere Radius of Pentagonal Icositetrahedron Calculators

Insphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio

Go Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(SA:V of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))

Insphere Radius of Pentagonal Icositetrahedron given Total Surface Area

Go Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))

Insphere Radius of Pentagonal Icositetrahedron given Volume

Go Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))

Insphere Radius of Pentagonal Icositetrahedron given Short Edge

Go Insphere Radius of Pentagonal Icositetrahedron = 1/2*sqrt(([Tribonacci_C]+1)/((2-[Tribonacci_C])*(3-[Tribonacci_C])))*Short Edge of Pentagonal Icositetrahedron

Insphere Radius of Pentagonal Icositetrahedron given Long Edge

Go Insphere Radius of Pentagonal Icositetrahedron = Long Edge of Pentagonal Icositetrahedron/sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C])*([Tribonacci_C]+1))

Insphere Radius of Pentagonal Icositetrahedron

Go Insphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C])))

Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius

Go Insphere Radius of Pentagonal Icositetrahedron = Midsphere Radius of Pentagonal Icositetrahedron/sqrt(3-[Tribonacci_C])

Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius Formula

Insphere Radius of Pentagonal Icositetrahedron = Midsphere Radius of Pentagonal Icositetrahedron/sqrt(3-[Tribonacci_C])
r_i = r_m/sqrt(3-[Tribonacci_C])

What is Pentagonal Icositetrahedron?

The Pentagonal Icositetrahedron can be constructed from a snub cube. Its faces are axial-symmetric pentagons with the top angle acos(2-t)=80.7517°. Of this polyhedron, there are two forms that are mirror images of each other, but otherwise identical. It has 24 faces, 60 edges, and 38 vertices.

How to Calculate Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius?

Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius calculator uses Insphere Radius of Pentagonal Icositetrahedron = Midsphere Radius of Pentagonal Icositetrahedron/sqrt(3-[Tribonacci_C]) to calculate the Insphere Radius of Pentagonal Icositetrahedron, Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius formula is defined as the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere, calculated using the midsphere radius of the Pentagonal Icositetrahedron. Insphere Radius of Pentagonal Icositetrahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Pentagonal Icositetrahedron (r_m) and hit the calculate button. Here is how the Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 12.06649 = 13/sqrt(3-[Tribonacci_C]).

FAQ

What is Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius?

Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius formula is defined as the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere, calculated using the midsphere radius of the Pentagonal Icositetrahedron and is represented as r_i = r_m/sqrt(3-[Tribonacci_C]) or Insphere Radius of Pentagonal Icositetrahedron = Midsphere Radius of Pentagonal Icositetrahedron/sqrt(3-[Tribonacci_C]). Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.

How to calculate Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius?

Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius formula is defined as the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere, calculated using the midsphere radius of the Pentagonal Icositetrahedron is calculated using Insphere Radius of Pentagonal Icositetrahedron = Midsphere Radius of Pentagonal Icositetrahedron/sqrt(3-[Tribonacci_C]). To calculate Insphere Radius of Pentagonal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Pentagonal Icositetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Pentagonal Icositetrahedron 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 Insphere Radius of Pentagonal Icositetrahedron?

In this formula, Insphere Radius of Pentagonal Icositetrahedron uses Midsphere Radius of Pentagonal Icositetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Insphere Radius of Pentagonal Icositetrahedron = Long Edge of Pentagonal Icositetrahedron/sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C])*([Tribonacci_C]+1))
Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))
Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))
Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(SA:V of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))
Insphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C])))
Insphere Radius of Pentagonal Icositetrahedron = 1/2*sqrt(([Tribonacci_C]+1)/((2-[Tribonacci_C])*(3-[Tribonacci_C])))*Short Edge of Pentagonal Icositetrahedron

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