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Long Edge of Hexakis Icosahedron given Insphere Radius Formula

GoLong Edge of Hexakis Icosahedron given Medium Edge Formula

GoLong Edge of Hexakis Icosahedron given Short Edge Formula

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Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron. Check FAQs

l e(Long) = \frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}

l_e(Long) - Long Edge of Hexakis Icosahedron?r_i - Insphere Radius of Hexakis Icosahedron?

Long Edge of Hexakis Icosahedron given Insphere Radius Example

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

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

Here is how the Long Edge of Hexakis Icosahedron given Insphere Radius equation looks like.

9.6497 = \frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}

9.6497m = \frac{4 \cdot 14m}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}

9.6497 = \frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}

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Long Edge of Hexakis Icosahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

l e(Long) = \frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}

Next Step Substitute values of Variables

∴

l e(Long) = \frac{4 \cdot 14m}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}

Next Step Prepare to Evaluate

∴

l e(Long) = \frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}

Next Step Evaluate

∴

l e(Long) = 9.6497336551704m

LAST Step Rounding Answer

∴

l e(Long) = 9.6497m

Long Edge of Hexakis Icosahedron given Insphere Radius Formula Elements

Variables

Functions

Long Edge of Hexakis Icosahedron

Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Hexakis Icosahedron

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 Hexakis Icosahedron

Go Long Edge of Hexakis Icosahedron given Medium Edge

l e(Long) = \frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})}

Go Long Edge of Hexakis Icosahedron given Short Edge

l e(Long) = \frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})}

Go Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

l e(Long) = (\frac{2}{5}) \cdot l e(Truncated Icosidodecahedron) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

Go Long Edge of Hexakis Icosahedron given Total Surface Area

l e(Long) = \sqrt{\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}}

How to Evaluate Long Edge of Hexakis Icosahedron given Insphere Radius?

Long Edge of Hexakis Icosahedron given Insphere Radius evaluator uses Long Edge of Hexakis Icosahedron = (4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))) to evaluate the Long Edge of Hexakis Icosahedron, Long Edge of Hexakis Icosahedron given Insphere Radius formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using insphere radius of Hexakis Icosahedron. Long Edge of Hexakis Icosahedron is denoted by l_e(Long) symbol.

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

FAQs on Long Edge of Hexakis Icosahedron given Insphere Radius

What is the formula to find Long Edge of Hexakis Icosahedron given Insphere Radius?

The formula of Long Edge of Hexakis Icosahedron given Insphere Radius is expressed as Long Edge of Hexakis Icosahedron = (4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))). Here is an example- 9.649734 = (4*14)/(sqrt((15/241)*(275+(119*sqrt(5))))).

How to calculate Long Edge of Hexakis Icosahedron given Insphere Radius?

With Insphere Radius of Hexakis Icosahedron (r_i) we can find Long Edge of Hexakis Icosahedron given Insphere Radius using the formula - Long Edge of Hexakis Icosahedron = (4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Edge of Hexakis Icosahedron?

Here are the different ways to Calculate Long Edge of Hexakis Icosahedron-

Long Edge of Hexakis Icosahedron=(22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))
Long Edge of Hexakis Icosahedron=(44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))
Long Edge of Hexakis Icosahedron=(2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5))))

Can the Long Edge of Hexakis Icosahedron given Insphere Radius be negative?

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

Which unit is used to measure Long Edge of Hexakis Icosahedron given Insphere Radius?

Long Edge of Hexakis Icosahedron 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 Hexakis Icosahedron given Insphere Radius can be measured.

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