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Long Edge of Deltoidal Hexecontahedron given Insphere Radius Formula

GoLong Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Formula

GoLong Edge of Deltoidal Hexecontahedron given Short Edge Formula

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Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron. Check FAQs

l e(Long) = \frac{2 \cdot r i}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

l_e(Long) - Long Edge of Deltoidal Hexecontahedron?r_i - Insphere Radius of Deltoidal Hexecontahedron?

Long Edge of Deltoidal Hexecontahedron given Insphere Radius Example

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Here is how the Long Edge of Deltoidal Hexecontahedron given Insphere Radius equation looks like with Values.

Here is how the Long Edge of Deltoidal Hexecontahedron given Insphere Radius equation looks like with Units.

Here is how the Long Edge of Deltoidal Hexecontahedron given Insphere Radius equation looks like.

9.932 = \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

9.932m = \frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

9.932 = \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

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Long Edge of Deltoidal Hexecontahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Long Edge of Deltoidal Hexecontahedron given Insphere Radius?

FIRST Step Consider the formula

l e(Long) = \frac{2 \cdot r i}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Substitute values of Variables

∴

l e(Long) = \frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Prepare to Evaluate

∴

l e(Long) = \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Evaluate

∴

l e(Long) = 9.9320184568847m

LAST Step Rounding Answer

∴

l e(Long) = 9.932m

Long Edge of Deltoidal Hexecontahedron given Insphere Radius Formula Elements

Variables

Functions

Long Edge of Deltoidal Hexecontahedron

Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Hexecontahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Long Edge of Deltoidal Hexecontahedron

Go Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio

l e(Long) = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{AV \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}}

Go Long Edge of Deltoidal Hexecontahedron given Short Edge

l e(Long) = \frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})}

Go Long Edge of Deltoidal Hexecontahedron given Symmetry Diagonal

l e(Long) = \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Long Edge of Deltoidal Hexecontahedron given NonSymmetry Diagonal

l e(Long) = \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

How to Evaluate Long Edge of Deltoidal Hexecontahedron given Insphere Radius?

Long Edge of Deltoidal Hexecontahedron given Insphere Radius evaluator uses Long Edge of Deltoidal Hexecontahedron = (2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)) to evaluate the Long Edge of Deltoidal Hexecontahedron, Long Edge of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the length of the longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron. Long Edge of Deltoidal Hexecontahedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Deltoidal Hexecontahedron given Insphere Radius using this online evaluator? To use this online evaluator for Long Edge of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (r_i) and hit the calculate button.

FAQs on Long Edge of Deltoidal Hexecontahedron given Insphere Radius

What is the formula to find Long Edge of Deltoidal Hexecontahedron given Insphere Radius?

The formula of Long Edge of Deltoidal Hexecontahedron given Insphere Radius is expressed as Long Edge of Deltoidal Hexecontahedron = (2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)). Here is an example- 9.932018 = (2*17)/(3*sqrt((135+(59*sqrt(5)))/205)).

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

With Insphere Radius of Deltoidal Hexecontahedron (r_i) we can find Long Edge of Deltoidal Hexecontahedron given Insphere Radius using the formula - Long Edge of Deltoidal Hexecontahedron = (2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Edge of Deltoidal Hexecontahedron?

Here are the different ways to Calculate Long Edge of Deltoidal Hexecontahedron-

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))

Can the Long Edge of Deltoidal Hexecontahedron given Insphere Radius be negative?

No, the Long Edge of Deltoidal Hexecontahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Deltoidal Hexecontahedron given Insphere Radius?

Long Edge of Deltoidal Hexecontahedron given Insphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Edge of Deltoidal Hexecontahedron given Insphere Radius can be measured.

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