FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Insphere Radius of Pentagonal Icositetrahedron given Short Edge Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Volume Formula

Fx Copy

LaTeX Copy

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{1}{2} \cdot \sqrt{\frac{[Tribonacci_C] + 1}{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}} \cdot l e(Short)

r_i - Insphere Radius of Pentagonal Icositetrahedron?l_e(Short) - Short Edge of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Insphere Radius of Pentagonal Icositetrahedron given Short Edge Example

With values

With units

Only example

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

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

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

11.7041 = \frac{1}{2} \cdot \sqrt{\frac{1.8393 + 1}{(2 - 1.8393) \cdot (3 - 1.8393)}} \cdot 6

11.7041m = \frac{1}{2} \cdot \sqrt{\frac{1.8393 + 1}{(2 - 1.8393) \cdot (3 - 1.8393)}} \cdot 6m

11.7041 = \frac{1}{2} \cdot \sqrt{\frac{1.8393 + 1}{(2 - 1.8393) \cdot (3 - 1.8393)}} \cdot 6

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Insphere Radius of Pentagonal Icositetrahedron given Short Edge

Insphere Radius of Pentagonal Icositetrahedron given Short Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{1}{2} \cdot \sqrt{\frac{[Tribonacci_C] + 1}{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}} \cdot 6m

Next Step Substitute values of Constants

∴

r i = \frac{1}{2} \cdot \sqrt{\frac{1.8393 + 1}{(2 - 1.8393) \cdot (3 - 1.8393)}} \cdot 6m

Next Step Prepare to Evaluate

∴

r i = \frac{1}{2} \cdot \sqrt{\frac{1.8393 + 1}{(2 - 1.8393) \cdot (3 - 1.8393)}} \cdot 6

Next Step Evaluate

∴

r i = 11.7040879907085m

LAST Step Rounding Answer

∴

r i = 11.7041m

Insphere Radius of Pentagonal Icositetrahedron given Short Edge 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

Short Edge of Pentagonal Icositetrahedron

Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short 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

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 given Short Edge?

Insphere Radius of Pentagonal Icositetrahedron given Short Edge evaluator uses Insphere Radius of Pentagonal Icositetrahedron = 1/2*sqrt(([Tribonacci_C]+1)/((2-[Tribonacci_C])*(3-[Tribonacci_C])))*Short Edge of Pentagonal Icositetrahedron to evaluate the Insphere Radius of Pentagonal Icositetrahedron, Insphere Radius of Pentagonal Icositetrahedron given Short Edge 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 short edge of Pentagonal Icositetrahedron. Insphere Radius of Pentagonal Icositetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Pentagonal Icositetrahedron given Short Edge

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

The formula of Insphere Radius of Pentagonal Icositetrahedron given Short Edge is expressed as Insphere Radius of Pentagonal Icositetrahedron = 1/2*sqrt(([Tribonacci_C]+1)/((2-[Tribonacci_C])*(3-[Tribonacci_C])))*Short Edge of Pentagonal Icositetrahedron. Here is an example- 11.70409 = 1/2*sqrt(([Tribonacci_C]+1)/((2-[Tribonacci_C])*(3-[Tribonacci_C])))*6.

How to calculate Insphere Radius of Pentagonal Icositetrahedron given Short Edge?

With Short Edge of Pentagonal Icositetrahedron (l_e(Short)) we can find Insphere Radius of Pentagonal Icositetrahedron given Short Edge using the formula - Insphere Radius of Pentagonal Icositetrahedron = 1/2*sqrt(([Tribonacci_C]+1)/((2-[Tribonacci_C])*(3-[Tribonacci_C])))*Short Edge of Pentagonal Icositetrahedron. This formula also uses Tribonacci constant, 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 given Short Edge be negative?

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

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

Insphere Radius of Pentagonal Icositetrahedron given Short Edge 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 given Short Edge can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Insphere Radius of Pentagonal Icositetrahedron given Short Edge Formula

​GoInsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

​GoInsphere Radius of Pentagonal Icositetrahedron given Volume Formula

Insphere Radius of Pentagonal Icositetrahedron given Short Edge Example

Insphere Radius of Pentagonal Icositetrahedron given Short Edge Solution

Insphere Radius of Pentagonal Icositetrahedron given Short Edge Formula Elements

Other Formulas to find Insphere Radius of Pentagonal Icositetrahedron

How to Evaluate Insphere Radius of Pentagonal Icositetrahedron given Short Edge?

FAQs on Insphere Radius of Pentagonal Icositetrahedron given Short Edge

Variable Name

GoInsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Volume Formula