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Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area 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 \sqrt{\frac{7 \cdot TSA}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

r_m - Midsphere Radius of Deltoidal Icositetrahedron?TSA - Total Surface Area of Deltoidal Icositetrahedron?

Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area Example

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Here is how the Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area equation looks like.

24.1501 = \frac{1 + \sqrt{2}}{2} \cdot \sqrt{\frac{7 \cdot 7350}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

24.1501m = \frac{1 + \sqrt{2}}{2} \cdot \sqrt{\frac{7 \cdot 7350m²}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

24.1501 = \frac{1 + \sqrt{2}}{2} \cdot \sqrt{\frac{7 \cdot 7350}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

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Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot \sqrt{\frac{7 \cdot 7350m²}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

Next Step Prepare to Evaluate

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot \sqrt{\frac{7 \cdot 7350}{12 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}}

Next Step Evaluate

∴

r m = 24.1501001244594m

LAST Step Rounding Answer

∴

r m = 24.1501m

Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area 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

Total Surface Area of Deltoidal Icositetrahedron

Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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})}}

How to Evaluate Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area evaluator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))) to evaluate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area 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 total surface area of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area using this online evaluator? To use this online evaluator for Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area, enter Total Surface Area of Deltoidal Icositetrahedron (TSA) and hit the calculate button.

FAQs on Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area

What is the formula to find Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

The formula of Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area is expressed as Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))). Here is an example- 24.1501 = (1+sqrt(2))/2*sqrt((7*7350)/(12*sqrt(61+(38*sqrt(2))))).

How to calculate Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

With Total Surface Area of Deltoidal Icositetrahedron (TSA) we can find Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area using the formula - Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*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*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

Can the Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area be negative?

No, the Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area 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 Total Surface Area can be measured.

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