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Short Edge of Deltoidal Icositetrahedron given Insphere Radius Formula

GoShort Edge of Deltoidal Icositetrahedron Formula

GoShort Edge of Deltoidal Icositetrahedron given Symmetry Diagonal Formula

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Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron. Check FAQs

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{r i}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

l_e(Short) - Short Edge of Deltoidal Icositetrahedron?r_i - Insphere Radius of Deltoidal Icositetrahedron?

Short Edge of Deltoidal Icositetrahedron given Insphere Radius Example

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

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

Here is how the Short Edge of Deltoidal Icositetrahedron given Insphere Radius equation looks like.

15.0935 = \frac{4 + \sqrt{2}}{7} \cdot \frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

15.0935m = \frac{4 + \sqrt{2}}{7} \cdot \frac{22m}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

15.0935 = \frac{4 + \sqrt{2}}{7} \cdot \frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

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Short Edge of Deltoidal Icositetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{r i}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

Next Step Substitute values of Variables

∴

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{22m}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

Next Step Prepare to Evaluate

∴

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}

Next Step Evaluate

∴

l e(Short) = 15.0935448874971m

LAST Step Rounding Answer

∴

l e(Short) = 15.0935m

Short Edge of Deltoidal Icositetrahedron given Insphere Radius Formula Elements

Variables

Functions

Short Edge of Deltoidal Icositetrahedron

Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron

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.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Icositetrahedron

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 Deltoidal Icositetrahedron

Go Short Edge of Deltoidal Icositetrahedron

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot l e(Long)

Go Short Edge of Deltoidal Icositetrahedron given Symmetry Diagonal

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{7 \cdot d Symmetry}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Go Short Edge of Deltoidal Icositetrahedron given NonSymmetry Diagonal

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Go Short Edge of Deltoidal Icositetrahedron given Total Surface Area

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \sqrt{\frac{7 \cdot TSA}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

How to Evaluate Short Edge of Deltoidal Icositetrahedron given Insphere Radius?

Short Edge of Deltoidal Icositetrahedron given Insphere Radius evaluator uses Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)) to evaluate the Short Edge of Deltoidal Icositetrahedron, Short Edge of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron. Short Edge of Deltoidal Icositetrahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Deltoidal Icositetrahedron given Insphere Radius

What is the formula to find Short Edge of Deltoidal Icositetrahedron given Insphere Radius?

The formula of Short Edge of Deltoidal Icositetrahedron given Insphere Radius is expressed as Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). Here is an example- 15.09354 = (4+sqrt(2))/7*22/(sqrt((22+(15*sqrt(2)))/34)).

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

With Insphere Radius of Deltoidal Icositetrahedron (r_i) we can find Short Edge of Deltoidal Icositetrahedron given Insphere Radius using the formula - Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Edge of Deltoidal Icositetrahedron?

Here are the different ways to Calculate Short Edge of Deltoidal Icositetrahedron-

Short Edge of Deltoidal Icositetrahedron=(4+sqrt(2))/7*Long Edge of Deltoidal Icositetrahedron
Short Edge of Deltoidal Icositetrahedron=(4+sqrt(2))/7*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))
Short Edge of Deltoidal Icositetrahedron=(4+sqrt(2))/7*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

Can the Short Edge of Deltoidal Icositetrahedron given Insphere Radius be negative?

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

Which unit is used to measure Short Edge of Deltoidal Icositetrahedron given Insphere Radius?

Short Edge of Deltoidal Icositetrahedron 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 Deltoidal Icositetrahedron given Insphere Radius can be measured.

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