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Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Formula

GoMidsphere Radius of Deltoidal Icositetrahedron Formula

GoMidsphere Radius of Deltoidal Icositetrahedron given Short Edge 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 d Symmetry}{\sqrt{46 + (15 \cdot \sqrt{2})}}

r_m - Midsphere Radius of Deltoidal Icositetrahedron?d_Symmetry - Symmetry Diagonal of Deltoidal Icositetrahedron?

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Example

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

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

Here is how the Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal equation looks like.

23.7052 = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 23}{\sqrt{46 + (15 \cdot \sqrt{2})}}

23.7052m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 23m}{\sqrt{46 + (15 \cdot \sqrt{2})}}

23.7052 = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 23}{\sqrt{46 + (15 \cdot \sqrt{2})}}

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Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 23m}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot 23}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Next Step Evaluate

∴

r m = 23.7052351814832m

LAST Step Rounding Answer

∴

r m = 23.7052m

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal 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

Symmetry Diagonal of Deltoidal Icositetrahedron

Symmetry Diagonal of Deltoidal Icositetrahedron is the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves.

Symbol: d_Symmetry

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Symmetry Diagonal 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 Short Edge

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

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal evaluator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))) to evaluate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal 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 symmetry diagonal of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

What is the formula to find Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal?

The formula of Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal is expressed as Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))). Here is an example- 23.70524 = (1+sqrt(2))/2*(7*23)/(sqrt(46+(15*sqrt(2)))).

How to calculate Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal?

With Symmetry Diagonal of Deltoidal Icositetrahedron (d_Symmetry) we can find Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal using the formula - Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*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*Short Edge of Deltoidal Icositetrahedron)/(4+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 Symmetry Diagonal be negative?

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

Which unit is used to measure Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal?

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal 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 Symmetry Diagonal can be measured.

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