Short Edge of Pentagonal Icositetrahedron given Insphere Radius Calculator

✖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 [r_i]

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✖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.ⓘ Short Edge of Pentagonal Icositetrahedron given Insphere Radius [l_e(Short)]

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Short Edge of Pentagonal Icositetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Short Edge of Pentagonal Icositetrahedron - (Measured in Meter) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Pentagonal Icositetrahedron: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Short) = 2*sqrt(((2-[Tribonacci_C])*(3-[Tribonacci_C]))/([Tribonacci_C]+1))*r_i --> 2*sqrt(((2-[Tribonacci_C])*(3-[Tribonacci_C]))/([Tribonacci_C]+1))*12

Evaluating ... ...

l_e(Short) = 6.15169674537293

STEP 3: Convert Result to Output's Unit

6.15169674537293 Meter --> No Conversion Required

FINAL ANSWER

6.15169674537293 ≈ 6.151697 Meter <-- Short Edge of Pentagonal Icositetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Short Edge of Pentagonal Icositetrahedron Calculators

Short Edge of Pentagonal Icositetrahedron given Total Surface Area

LaTeX Go Short Edge of Pentagonal Icositetrahedron = sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1)

Short Edge of Pentagonal Icositetrahedron given Volume

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

Short Edge of Pentagonal Icositetrahedron

LaTeX Go Short Edge of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/sqrt([Tribonacci_C]+1)

Short Edge of Pentagonal Icositetrahedron given Long Edge

LaTeX Go Short Edge of Pentagonal Icositetrahedron = (2*Long Edge of Pentagonal Icositetrahedron)/([Tribonacci_C]+1)

Short Edge of Pentagonal Icositetrahedron given Insphere Radius Formula

LaTeX Go

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 Short Edge of Pentagonal Icositetrahedron given Insphere Radius?

Short Edge of Pentagonal Icositetrahedron given Insphere Radius calculator uses Short Edge of Pentagonal Icositetrahedron = 2*sqrt(((2-[Tribonacci_C])*(3-[Tribonacci_C]))/([Tribonacci_C]+1))*Insphere Radius of Pentagonal Icositetrahedron to calculate the Short Edge of Pentagonal Icositetrahedron, Short Edge of Pentagonal Icositetrahedron given Insphere Radius formula is defined as the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using insphere radius of Pentagonal Icositetrahedron. Short Edge of Pentagonal Icositetrahedron is denoted by l_e(Short) symbol.

How to calculate Short Edge of Pentagonal Icositetrahedron given Insphere Radius using this online calculator? To use this online calculator for Short Edge of Pentagonal Icositetrahedron given Insphere Radius, enter Insphere Radius of Pentagonal Icositetrahedron (r_i) and hit the calculate button. Here is how the Short Edge of Pentagonal Icositetrahedron given Insphere Radius calculation can be explained with given input values -> 6.151697 = 2*sqrt(((2-[Tribonacci_C])*(3-[Tribonacci_C]))/([Tribonacci_C]+1))*12.

FAQ

What is Short Edge of Pentagonal Icositetrahedron given Insphere Radius?

Short Edge of Pentagonal Icositetrahedron given Insphere Radius formula is defined as the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using insphere radius of Pentagonal Icositetrahedron and is represented as l_e(Short) = 2*sqrt(((2-[Tribonacci_C])*(3-[Tribonacci_C]))/([Tribonacci_C]+1))*r_i or Short Edge of Pentagonal Icositetrahedron = 2*sqrt(((2-[Tribonacci_C])*(3-[Tribonacci_C]))/([Tribonacci_C]+1))*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.

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

Short Edge of Pentagonal Icositetrahedron given Insphere Radius formula is defined as the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using insphere radius of Pentagonal Icositetrahedron is calculated using Short Edge of Pentagonal Icositetrahedron = 2*sqrt(((2-[Tribonacci_C])*(3-[Tribonacci_C]))/([Tribonacci_C]+1))*Insphere Radius of Pentagonal Icositetrahedron. To calculate Short Edge of Pentagonal Icositetrahedron given Insphere Radius, you need Insphere Radius of Pentagonal Icositetrahedron (r_i). With our tool, you need to enter the respective value for Insphere 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 Short Edge of Pentagonal Icositetrahedron?

In this formula, Short Edge of Pentagonal Icositetrahedron uses Insphere Radius of Pentagonal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Short Edge of Pentagonal Icositetrahedron = (2*Long Edge of Pentagonal Icositetrahedron)/([Tribonacci_C]+1)
Short Edge of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/sqrt([Tribonacci_C]+1)
Short Edge of Pentagonal Icositetrahedron = sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4)*1/sqrt([Tribonacci_C]+1)

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