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Short Edge of Deltoidal Icositetrahedron given Midsphere 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{2 \cdot r m}{1 + \sqrt{2}}

l_e(Short) - Short Edge of Deltoidal Icositetrahedron?r_m - Midsphere Radius of Deltoidal Icositetrahedron?

Short Edge of Deltoidal Icositetrahedron given Midsphere Radius Example

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

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

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

15.3781 = \frac{4 + \sqrt{2}}{7} \cdot \frac{2 \cdot 24}{1 + \sqrt{2}}

15.3781m = \frac{4 + \sqrt{2}}{7} \cdot \frac{2 \cdot 24m}{1 + \sqrt{2}}

15.3781 = \frac{4 + \sqrt{2}}{7} \cdot \frac{2 \cdot 24}{1 + \sqrt{2}}

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Short Edge of Deltoidal Icositetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{2 \cdot r m}{1 + \sqrt{2}}

Next Step Substitute values of Variables

∴

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{2 \cdot 24m}{1 + \sqrt{2}}

Next Step Prepare to Evaluate

∴

l e(Short) = \frac{4 + \sqrt{2}}{7} \cdot \frac{2 \cdot 24}{1 + \sqrt{2}}

Next Step Evaluate

∴

l e(Short) = 15.378107568818m

LAST Step Rounding Answer

∴

l e(Short) = 15.3781m

Short Edge of Deltoidal Icositetrahedron given Midsphere 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

Midsphere Radius of Deltoidal Icositetrahedron

Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Midsphere Radius?

Short Edge of Deltoidal Icositetrahedron given Midsphere Radius evaluator uses Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)) to evaluate the Short Edge of Deltoidal Icositetrahedron, Short Edge of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron, calculated using midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Short Edge of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button.

FAQs on Short Edge of Deltoidal Icositetrahedron given Midsphere Radius

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

The formula of Short Edge of Deltoidal Icositetrahedron given Midsphere Radius is expressed as Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). Here is an example- 15.37811 = (4+sqrt(2))/7*(2*24)/(1+sqrt(2)).

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

With Midsphere Radius of Deltoidal Icositetrahedron (r_m) we can find Short Edge of Deltoidal Icositetrahedron given Midsphere Radius using the formula - Short Edge of Deltoidal Icositetrahedron = (4+sqrt(2))/7*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)). This formula also uses Square Root Function 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 Midsphere Radius be negative?

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

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

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

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