Midsphere Radius of Pentagonal Icositetrahedron Calculator

✖Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.ⓘ Snub Cube Edge of Pentagonal Icositetrahedron [l_{e(Snub Cube)}]

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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.ⓘ Midsphere Radius of Pentagonal Icositetrahedron [r_m]

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Midsphere Radius of Pentagonal Icositetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C]))
r_m = l_{e(Snub Cube)}/(2*sqrt(2-[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

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.
Snub Cube Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Snub Cube Edge of Pentagonal Icositetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = l_{e(Snub Cube)}/(2*sqrt(2-[Tribonacci_C])) --> 10/(2*sqrt(2-[Tribonacci_C]))

Evaluating ... ...

r_m = 12.4722316799364

STEP 3: Convert Result to Output's Unit

12.4722316799364 Meter --> No Conversion Required

FINAL ANSWER

12.4722316799364 ≈ 12.47223 Meter <-- Midsphere Radius 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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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Midsphere Radius of Pentagonal Icositetrahedron Calculators

Midsphere Radius of Pentagonal Icositetrahedron given Total Surface Area

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

Midsphere Radius of Pentagonal Icositetrahedron given Short Edge

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

Midsphere Radius of Pentagonal Icositetrahedron given Long Edge

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

Midsphere Radius of Pentagonal Icositetrahedron

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

Midsphere Radius of Pentagonal Icositetrahedron Formula

LaTeX Go

Midsphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C]))
r_m = l_{e(Snub Cube)}/(2*sqrt(2-[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 Midsphere Radius of Pentagonal Icositetrahedron?

Midsphere Radius of Pentagonal Icositetrahedron calculator uses Midsphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C])) to calculate the Midsphere Radius of Pentagonal Icositetrahedron, Midsphere Radius of Pentagonal Icositetrahedron 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. Midsphere Radius of Pentagonal Icositetrahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Pentagonal Icositetrahedron using this online calculator? To use this online calculator for Midsphere Radius of Pentagonal Icositetrahedron, enter Snub Cube Edge of Pentagonal Icositetrahedron (l_{e(Snub Cube)}) and hit the calculate button. Here is how the Midsphere Radius of Pentagonal Icositetrahedron calculation can be explained with given input values -> 12.47223 = 10/(2*sqrt(2-[Tribonacci_C])).

FAQ

What is Midsphere Radius of Pentagonal Icositetrahedron?

Midsphere Radius of Pentagonal Icositetrahedron 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 and is represented as r_m = l_{e(Snub Cube)}/(2*sqrt(2-[Tribonacci_C])) or Midsphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C])). Snub Cube Edge of Pentagonal Icositetrahedron is the length of any edge of the Snub Cube of which dual body is the Pentagonal Icositetrahedron.

How to calculate Midsphere Radius of Pentagonal Icositetrahedron?

Midsphere Radius of Pentagonal Icositetrahedron 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 is calculated using Midsphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C])). To calculate Midsphere Radius of Pentagonal Icositetrahedron, you need Snub Cube Edge of Pentagonal Icositetrahedron (l_{e(Snub Cube)}). With our tool, you need to enter the respective value for Snub Cube Edge 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 Midsphere Radius of Pentagonal Icositetrahedron?

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

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

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