Long Edge of Deltoidal Icositetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Deltoidal Icositetrahedron [r_m]

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✖Long Edge of Deltoidal Icositetrahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.ⓘ Long Edge of Deltoidal Icositetrahedron given Midsphere Radius [l_e(Long)]

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Long Edge of Deltoidal Icositetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Deltoidal Icositetrahedron = (2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
l_e(Long) = (2*r_m)/(1+sqrt(2))
This formula uses 1 Functions, 2 Variables

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

Long Edge of Deltoidal Icositetrahedron - (Measured in Meter) - Long Edge of Deltoidal Icositetrahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.
Midsphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Icositetrahedron: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = (2*r_m)/(1+sqrt(2)) --> (2*24)/(1+sqrt(2))

Evaluating ... ...

l_e(Long) = 19.8822509939086

STEP 3: Convert Result to Output's Unit

19.8822509939086 Meter --> No Conversion Required

FINAL ANSWER

19.8822509939086 ≈ 19.88225 Meter <-- Long Edge of Deltoidal Icositetrahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Long Edge of Deltoidal Icositetrahedron Calculators

Long Edge of Deltoidal Icositetrahedron given Total Surface Area

LaTeX Go Long Edge of Deltoidal Icositetrahedron = sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))

Long Edge of Deltoidal Icositetrahedron given NonSymmetry Diagonal

LaTeX Go Long Edge of Deltoidal Icositetrahedron = (2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

Long Edge of Deltoidal Icositetrahedron given Symmetry Diagonal

LaTeX Go Long Edge of Deltoidal Icositetrahedron = (7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

Long Edge of Deltoidal Icositetrahedron given Short Edge

LaTeX Go Long Edge of Deltoidal Icositetrahedron = (7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))

Long Edge of Deltoidal Icositetrahedron given Midsphere Radius Formula

LaTeX Go

Long Edge of Deltoidal Icositetrahedron = (2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
l_e(Long) = (2*r_m)/(1+sqrt(2))

What is Deltoidal Icositetrahedron?

A Deltoidal Icositetrahedron is a polyhedron with deltoid (kite) faces, those have three angles with 81.579° and one with 115.263°. It has eight vertices with three edges and eighteen vertices with four edges. In total, it has 24 faces, 48 edges, 26 vertices.

How to Calculate Long Edge of Deltoidal Icositetrahedron given Midsphere Radius?

Long Edge of Deltoidal Icositetrahedron given Midsphere Radius calculator uses Long Edge of Deltoidal Icositetrahedron = (2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)) to calculate the Long Edge of Deltoidal Icositetrahedron, Long Edge of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron. Long Edge of Deltoidal Icositetrahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Deltoidal Icositetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Long Edge of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button. Here is how the Long Edge of Deltoidal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 19.88225 = (2*24)/(1+sqrt(2)).

FAQ

What is Long Edge of Deltoidal Icositetrahedron given Midsphere Radius?

Long Edge of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron and is represented as l_e(Long) = (2*r_m)/(1+sqrt(2)) or Long Edge of Deltoidal Icositetrahedron = (2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

How to calculate Long Edge of Deltoidal Icositetrahedron given Midsphere Radius?

Long Edge of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron is calculated using Long Edge of Deltoidal Icositetrahedron = (2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). To calculate Long Edge of Deltoidal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Icositetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Deltoidal 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 Long Edge of Deltoidal Icositetrahedron?

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

Long Edge of Deltoidal Icositetrahedron = (7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Long Edge of Deltoidal Icositetrahedron = (7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))
Long Edge of Deltoidal Icositetrahedron = (2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

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