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Midsphere Radius of Tetrahedron given Total Surface Area Formula

GoMidsphere Radius of Tetrahedron Formula

GoMidsphere Radius of Tetrahedron given Circumsphere Radius Formula

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Midsphere Radius of Tetrahedron is the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere. Check FAQs

r m = \frac{\sqrt{\frac{TSA}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

r_m - Midsphere Radius of Tetrahedron?TSA - Total Surface Area of Tetrahedron?

Midsphere Radius of Tetrahedron given Total Surface Area Example

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

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

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

3.5027 = \frac{\sqrt{\frac{170}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

3.5027m = \frac{\sqrt{\frac{170m²}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

3.5027 = \frac{\sqrt{\frac{170}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

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Midsphere Radius of Tetrahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

r m = \frac{\sqrt{\frac{TSA}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{\frac{170m²}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{\frac{170}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

Next Step Evaluate

∴

r m = 3.50266944205124m

LAST Step Rounding Answer

∴

r m = 3.5027m

Midsphere Radius of Tetrahedron given Total Surface Area Formula Elements

Variables

Functions

Midsphere Radius of Tetrahedron

Midsphere Radius of Tetrahedron is the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Tetrahedron

Total Surface Area of Tetrahedron

Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Tetrahedron

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 Tetrahedron

Go Midsphere Radius of Tetrahedron

r m = \frac{l e}{2 \cdot \sqrt{2}}

Go Midsphere Radius of Tetrahedron given Circumsphere Radius

r m = \sqrt{\frac{1}{3}} \cdot r c

Go Midsphere Radius of Tetrahedron given Face Area

r m = \frac{\sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

Go Midsphere Radius of Tetrahedron given Insphere Radius

r m = \sqrt{3} \cdot r i

How to Evaluate Midsphere Radius of Tetrahedron given Total Surface Area?

Midsphere Radius of Tetrahedron given Total Surface Area evaluator uses Midsphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2)) to evaluate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using Total Surface Area of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Tetrahedron given Total Surface Area

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

The formula of Midsphere Radius of Tetrahedron given Total Surface Area is expressed as Midsphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2)). Here is an example- 3.502669 = sqrt(170/(sqrt(3)))/(2*sqrt(2)).

How to calculate Midsphere Radius of Tetrahedron given Total Surface Area?

With Total Surface Area of Tetrahedron (TSA) we can find Midsphere Radius of Tetrahedron given Total Surface Area using the formula - Midsphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Tetrahedron?

Here are the different ways to Calculate Midsphere Radius of Tetrahedron-

Midsphere Radius of Tetrahedron=Edge Length of Tetrahedron/(2*sqrt(2))
Midsphere Radius of Tetrahedron=sqrt(1/3)*Circumsphere Radius of Tetrahedron
Midsphere Radius of Tetrahedron=sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2))

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

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

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

Midsphere Radius of Tetrahedron 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 Tetrahedron given Total Surface Area can be measured.

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