Long Edge of Deltoidal Icositetrahedron given Insphere Radius Calculator

✖Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Deltoidal Icositetrahedron [r_i]

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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 Insphere Radius [l_e(Long)]

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Long Edge of Deltoidal Icositetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Deltoidal Icositetrahedron = Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
l_e(Long) = r_i/(sqrt((22+(15*sqrt(2)))/34))
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.
Insphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Deltoidal Icositetrahedron: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = r_i/(sqrt((22+(15*sqrt(2)))/34)) --> 22/(sqrt((22+(15*sqrt(2)))/34))

Evaluating ... ...

l_e(Long) = 19.5143418329015

STEP 3: Convert Result to Output's Unit

19.5143418329015 Meter --> No Conversion Required

FINAL ANSWER

19.5143418329015 ≈ 19.51434 Meter <-- Long Edge of Deltoidal Icositetrahedron

(Calculation completed in 00.004 seconds)

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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 Insphere Radius Formula

LaTeX Go

Long Edge of Deltoidal Icositetrahedron = Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))
l_e(Long) = r_i/(sqrt((22+(15*sqrt(2)))/34))

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 Insphere Radius?

Long Edge of Deltoidal Icositetrahedron given Insphere Radius calculator uses Long Edge of Deltoidal Icositetrahedron = Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)) to calculate the Long Edge of Deltoidal Icositetrahedron, Long Edge of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using insphere 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 Insphere Radius using this online calculator? To use this online calculator for Long Edge of Deltoidal Icositetrahedron given Insphere Radius, enter Insphere Radius of Deltoidal Icositetrahedron (r_i) and hit the calculate button. Here is how the Long Edge of Deltoidal Icositetrahedron given Insphere Radius calculation can be explained with given input values -> 19.51434 = 22/(sqrt((22+(15*sqrt(2)))/34)).

FAQ

What is Long Edge of Deltoidal Icositetrahedron given Insphere Radius?

Long Edge of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron and is represented as l_e(Long) = r_i/(sqrt((22+(15*sqrt(2)))/34)) or Long Edge of Deltoidal Icositetrahedron = Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.

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

Long Edge of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron is calculated using Long Edge of Deltoidal Icositetrahedron = Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). To calculate Long Edge of Deltoidal Icositetrahedron given Insphere Radius, you need Insphere Radius of Deltoidal Icositetrahedron (r_i). With our tool, you need to enter the respective value for Insphere 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 Insphere 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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