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Insphere Radius of Pentagonal Icositetrahedron Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Volume Formula

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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. Check FAQs

r i = \frac{l e(Snub Cube)}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}

r_i - Insphere Radius of Pentagonal Icositetrahedron?l_{e(Snub Cube)} - Snub Cube Edge of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Insphere Radius of Pentagonal Icositetrahedron Example

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Here is how the Insphere Radius of Pentagonal Icositetrahedron equation looks like with Values.

Here is how the Insphere Radius of Pentagonal Icositetrahedron equation looks like with Units.

Here is how the Insphere Radius of Pentagonal Icositetrahedron equation looks like.

11.5766 = \frac{10}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}

11.5766m = \frac{10m}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}

11.5766 = \frac{10}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}

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Insphere Radius of Pentagonal Icositetrahedron Solution

Follow our step by step solution on how to calculate Insphere Radius of Pentagonal Icositetrahedron?

FIRST Step Consider the formula

r i = \frac{l e(Snub Cube)}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}

Next Step Substitute values of Variables

∴

r i = \frac{10m}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}

Next Step Substitute values of Constants

∴

r i = \frac{10m}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}

Next Step Prepare to Evaluate

∴

r i = \frac{10}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}

Next Step Evaluate

∴

r i = 11.5766179095555m

LAST Step Rounding Answer

∴

r i = 11.5766m

Insphere Radius of Pentagonal Icositetrahedron Formula Elements

Variables

Constants

Functions

Insphere Radius of Pentagonal Icositetrahedron

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.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Pentagonal Icositetrahedron

Snub Cube Edge of Pentagonal Icositetrahedron

Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.

Symbol: l_{e(Snub Cube)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Snub Cube Edge of Pentagonal Icositetrahedron

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

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.

Syntax: sqrt(Number)

Other Formulas to find Insphere Radius of Pentagonal Icositetrahedron

Go Insphere Radius of Pentagonal Icositetrahedron given Long Edge

r i = \frac{l e(Long)}{\sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C]) \cdot ([Tribonacci_C] + 1)}}

Go Insphere Radius of Pentagonal Icositetrahedron given Volume

r i = (\frac{1}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}) \cdot (V^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}})

Go Insphere Radius of Pentagonal Icositetrahedron given Total Surface Area

r i = (\frac{1}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}) \cdot (\sqrt{\frac{TSA}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}})

Go Insphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio

r i = (\frac{1}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}) \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot [Tribonacci_C] - 1)}{(4 \cdot [Tribonacci_C]) - 3}}}{R A/V \cdot \sqrt{\frac{11 \cdot ([Tribonacci_C] - 4)}{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}}})

How to Evaluate Insphere Radius of Pentagonal Icositetrahedron?

Insphere Radius of Pentagonal Icositetrahedron evaluator uses Insphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))) to evaluate the Insphere Radius of Pentagonal Icositetrahedron, Insphere Radius of Pentagonal Icositetrahedron 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. Insphere Radius of Pentagonal Icositetrahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Pentagonal Icositetrahedron using this online evaluator? To use this online evaluator for Insphere Radius of Pentagonal Icositetrahedron, enter Snub Cube Edge of Pentagonal Icositetrahedron (l_{e(Snub Cube)}) and hit the calculate button.

FAQs on Insphere Radius of Pentagonal Icositetrahedron

What is the formula to find Insphere Radius of Pentagonal Icositetrahedron?

The formula of Insphere Radius of Pentagonal Icositetrahedron is expressed as Insphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))). Here is an example- 11.57662 = 10/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))).

How to calculate Insphere Radius of Pentagonal Icositetrahedron?

With Snub Cube Edge of Pentagonal Icositetrahedron (l_{e(Snub Cube)}) we can find Insphere Radius of Pentagonal Icositetrahedron using the formula - Insphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))). This formula also uses Tribonacci constant, Tribonacci constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Pentagonal Icositetrahedron?

Here are the different ways to Calculate Insphere Radius of Pentagonal Icositetrahedron-

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))

Can the Insphere Radius of Pentagonal Icositetrahedron be negative?

No, the Insphere Radius of Pentagonal Icositetrahedron, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Pentagonal Icositetrahedron?

Insphere Radius of Pentagonal Icositetrahedron is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Pentagonal Icositetrahedron can be measured.

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