Long Edge of Deltoidal Hexecontahedron given Midsphere Radius Calculator

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

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

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Long Edge of Deltoidal Hexecontahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Deltoidal Hexecontahedron = (20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
l_e(Long) = (20*r_m)/(3*(5+(3*sqrt(5))))
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 Hexecontahedron - (Measured in Meter) - Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.
Midsphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Hexecontahedron: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = (20*r_m)/(3*(5+(3*sqrt(5)))) --> (20*18)/(3*(5+(3*sqrt(5))))

Evaluating ... ...

l_e(Long) = 10.2492235949962

STEP 3: Convert Result to Output's Unit

10.2492235949962 Meter --> No Conversion Required

FINAL ANSWER

10.2492235949962 ≈ 10.24922 Meter <-- Long Edge of Deltoidal Hexecontahedron

(Calculation completed in 00.020 seconds)

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< Long Edge of Deltoidal Hexecontahedron Calculators

Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio

LaTeX Go Long Edge of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25))

Long Edge of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX Go Long Edge of Deltoidal Hexecontahedron = (11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Long Edge of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go Long Edge of Deltoidal Hexecontahedron = Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Long Edge of Deltoidal Hexecontahedron given Short Edge

LaTeX Go Long Edge of Deltoidal Hexecontahedron = (22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

Long Edge of Deltoidal Hexecontahedron given Midsphere Radius Formula

LaTeX Go

Long Edge of Deltoidal Hexecontahedron = (20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
l_e(Long) = (20*r_m)/(3*(5+(3*sqrt(5))))

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

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

Long Edge of Deltoidal Hexecontahedron given Midsphere Radius calculator uses Long Edge of Deltoidal Hexecontahedron = (20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))) to calculate the Long Edge of Deltoidal Hexecontahedron, Long Edge of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the length of the longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron. Long Edge of Deltoidal Hexecontahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Deltoidal Hexecontahedron given Midsphere Radius using this online calculator? To use this online calculator for Long Edge of Deltoidal Hexecontahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Hexecontahedron (r_m) and hit the calculate button. Here is how the Long Edge of Deltoidal Hexecontahedron given Midsphere Radius calculation can be explained with given input values -> 10.24922 = (20*18)/(3*(5+(3*sqrt(5)))).

FAQ

What is Long Edge of Deltoidal Hexecontahedron given Midsphere Radius?

Long Edge of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the length of the longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron and is represented as l_e(Long) = (20*r_m)/(3*(5+(3*sqrt(5)))) or Long Edge of Deltoidal Hexecontahedron = (20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))). Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.

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

Long Edge of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the length of the longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron is calculated using Long Edge of Deltoidal Hexecontahedron = (20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))). To calculate Long Edge of Deltoidal Hexecontahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Hexecontahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Deltoidal Hexecontahedron 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 Hexecontahedron?

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

Long Edge of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25))
Long Edge of Deltoidal Hexecontahedron = (22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Long Edge of Deltoidal Hexecontahedron = Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

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