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Midsphere Radius of Deltoidal Icositetrahedron given Short Edge Formula

GoMidsphere Radius of Deltoidal Icositetrahedron Formula

GoMidsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Formula

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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. Check FAQs

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

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

Midsphere Radius of Deltoidal Icositetrahedron given Short Edge Example

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

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

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

23.4099 = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 15}{4 + \sqrt{2}}

23.4099m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 15m}{4 + \sqrt{2}}

23.4099 = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 15}{4 + \sqrt{2}}

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Midsphere Radius of Deltoidal Icositetrahedron given Short Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 15m}{4 + \sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 15}{4 + \sqrt{2}}

Next Step Evaluate

∴

r m = 23.4099025766973m

LAST Step Rounding Answer

∴

r m = 23.4099m

Midsphere Radius of Deltoidal Icositetrahedron given Short Edge Formula Elements

Variables

Functions

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

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

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 Midsphere Radius of Deltoidal Icositetrahedron

Go Midsphere Radius of Deltoidal Icositetrahedron

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

Go Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot d Symmetry}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Go Midsphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Go Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area

r m = \frac{1 + \sqrt{2}}{2} \cdot \sqrt{\frac{7 \cdot TSA}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

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

Midsphere Radius of Deltoidal Icositetrahedron given Short Edge evaluator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)) to evaluate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Short Edge formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using short edge of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Deltoidal Icositetrahedron given Short Edge

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

The formula of Midsphere Radius of Deltoidal Icositetrahedron given Short Edge is expressed as Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)). Here is an example- 23.4099 = (1+sqrt(2))/2*(7*15)/(4+sqrt(2)).

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

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

What are the other ways to Calculate Midsphere Radius of Deltoidal Icositetrahedron?

Here are the different ways to Calculate Midsphere Radius of Deltoidal Icositetrahedron-

Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*Long Edge of Deltoidal Icositetrahedron
Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))
Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

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

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

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

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

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