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Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius Formula

GoMidsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoMidsphere Radius of Pentagonal Icositetrahedron given Short Edge Formula

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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. Check FAQs

r m = \sqrt{3 - [Tribonacci_C]} \cdot r i

r_m - Midsphere Radius of Pentagonal Icositetrahedron?r_i - Insphere Radius of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?

Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius Example

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

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

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

12.9284 = \sqrt{3 - 1.8393} \cdot 12

12.9284m = \sqrt{3 - 1.8393} \cdot 12m

12.9284 = \sqrt{3 - 1.8393} \cdot 12

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Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

r m = \sqrt{3 - [Tribonacci_C]} \cdot r i

Next Step Substitute values of Variables

∴

r m = \sqrt{3 - [Tribonacci_C]} \cdot 12m

Next Step Substitute values of Constants

∴

r m = \sqrt{3 - 1.8393} \cdot 12m

Next Step Prepare to Evaluate

∴

r m = \sqrt{3 - 1.8393} \cdot 12

Next Step Evaluate

∴

r m = 12.9283683134865m

LAST Step Rounding Answer

∴

r m = 12.9284m

Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius Formula Elements

Variables

Constants

Functions

Midsphere Radius of Pentagonal Icositetrahedron

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.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Pentagonal Icositetrahedron

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

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 Midsphere Radius of Pentagonal Icositetrahedron

Go Midsphere Radius of Pentagonal Icositetrahedron given Long Edge

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

Go Midsphere Radius of Pentagonal Icositetrahedron given Short Edge

r m = \frac{\sqrt{[Tribonacci_C] + 1} \cdot l e(Short)}{2 \cdot \sqrt{2 - [Tribonacci_C]}}

Go Midsphere Radius of Pentagonal Icositetrahedron

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

Go Midsphere Radius of Pentagonal Icositetrahedron given Total Surface Area

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

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

Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius evaluator uses Midsphere Radius of Pentagonal Icositetrahedron = sqrt(3-[Tribonacci_C])*Insphere Radius of Pentagonal Icositetrahedron to evaluate the Midsphere Radius of Pentagonal Icositetrahedron, Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere, calculated using the insphere radius of Pentagonal Icositetrahedron. Midsphere Radius of Pentagonal Icositetrahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius using this online evaluator? To use this online evaluator for Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius, enter Insphere Radius of Pentagonal Icositetrahedron (r_i) and hit the calculate button.

FAQs on Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius

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

The formula of Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius is expressed as Midsphere Radius of Pentagonal Icositetrahedron = sqrt(3-[Tribonacci_C])*Insphere Radius of Pentagonal Icositetrahedron. Here is an example- 12.92837 = sqrt(3-[Tribonacci_C])*12.

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

With Insphere Radius of Pentagonal Icositetrahedron (r_i) we can find Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius using the formula - Midsphere Radius of Pentagonal Icositetrahedron = sqrt(3-[Tribonacci_C])*Insphere Radius of Pentagonal Icositetrahedron. This formula also uses Tribonacci constant and Square Root (sqrt) function(s).

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

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

Midsphere Radius of Pentagonal Icositetrahedron=1/sqrt(2-[Tribonacci_C])*((Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))
Midsphere Radius of Pentagonal Icositetrahedron=(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)/(2*sqrt(2-[Tribonacci_C]))
Midsphere Radius of Pentagonal Icositetrahedron=Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C]))

Can the Midsphere Radius of Pentagonal Icositetrahedron given Insphere Radius be negative?

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

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

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

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