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Short Edge of Hexakis Icosahedron given Insphere Radius Formula

GoShort Edge of Hexakis Icosahedron Formula

GoShort Edge of Hexakis Icosahedron given Medium Edge Formula

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Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron. Check FAQs

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

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

Short Edge of Hexakis Icosahedron given Insphere Radius Example

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

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

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

5.2239 = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

5.2239m = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{4 \cdot 14m}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

5.2239 = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

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Short Edge of Hexakis Icosahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{4 \cdot 14m}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

Next Step Evaluate

∴

l e(Short) = 5.22394036005276m

LAST Step Rounding Answer

∴

l e(Short) = 5.2239m

Short Edge of Hexakis Icosahedron given Insphere Radius Formula Elements

Variables

Functions

Short Edge of Hexakis Icosahedron

Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short 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 Short Edge of Hexakis Icosahedron

Go Short Edge of Hexakis Icosahedron

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

Go Short Edge of Hexakis Icosahedron given Medium Edge

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\frac{2}{5}) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})}) \cdot l e(Truncated Icosidodecahedron)

Go Short Edge of Hexakis Icosahedron given Total Surface Area

l e(Short) = (\frac{5}{44}) \cdot (7 - \sqrt{5}) \cdot (\sqrt{\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}})

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

Short Edge of Hexakis Icosahedron given Insphere Radius evaluator uses Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))) to evaluate the Short Edge of Hexakis Icosahedron, The Short Edge of Hexakis Icosahedron given Insphere Radius formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron, calculated using insphere radius of Hexakis Icosahedron. Short Edge of Hexakis Icosahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Hexakis Icosahedron given Insphere Radius

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

The formula of Short Edge of Hexakis Icosahedron given Insphere Radius is expressed as Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))). Here is an example- 5.22394 = (5/44)*(7-sqrt(5))*((4*14)/(sqrt((15/241)*(275+(119*sqrt(5)))))).

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

With Insphere Radius of Hexakis Icosahedron (r_i) we can find Short Edge of Hexakis Icosahedron given Insphere Radius using the formula - Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))). This formula also uses Square Root Function function(s).

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

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

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

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

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

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

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

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