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Midsphere Radius of Tetrahedron Formula

GoMidsphere Radius of Tetrahedron given Circumsphere Radius Formula

GoMidsphere Radius of Tetrahedron given Total Surface Area 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{l e}{2 \cdot \sqrt{2}}

r_m - Midsphere Radius of Tetrahedron?l_e - Edge Length of Tetrahedron?

Midsphere Radius of Tetrahedron Example

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Here is how the Midsphere Radius of Tetrahedron equation looks like with Values.

Here is how the Midsphere Radius of Tetrahedron equation looks like with Units.

Here is how the Midsphere Radius of Tetrahedron equation looks like.

3.5355 = \frac{10}{2 \cdot \sqrt{2}}

3.5355m = \frac{10m}{2 \cdot \sqrt{2}}

3.5355 = \frac{10}{2 \cdot \sqrt{2}}

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Midsphere Radius of Tetrahedron Solution

Follow our step by step solution on how to calculate Midsphere Radius of Tetrahedron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{10m}{2 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{10}{2 \cdot \sqrt{2}}

Next Step Evaluate

∴

r m = 3.53553390593274m

LAST Step Rounding Answer

∴

r m = 3.5355m

Midsphere Radius of Tetrahedron 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

Edge Length of Tetrahedron

Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 given Circumsphere Radius

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

Go Midsphere Radius of Tetrahedron given Total Surface Area

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

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?

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

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

FAQs on Midsphere Radius of Tetrahedron

What is the formula to find Midsphere Radius of Tetrahedron?

The formula of Midsphere Radius of Tetrahedron is expressed as Midsphere Radius of Tetrahedron = Edge Length of Tetrahedron/(2*sqrt(2)). Here is an example- 3.535534 = 10/(2*sqrt(2)).

How to calculate Midsphere Radius of Tetrahedron?

With Edge Length of Tetrahedron (l_e) we can find Midsphere Radius of Tetrahedron using the formula - Midsphere Radius of Tetrahedron = Edge Length of Tetrahedron/(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=sqrt(1/3)*Circumsphere Radius of Tetrahedron
Midsphere Radius of Tetrahedron=sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2))
Midsphere Radius of Tetrahedron=sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2))

Can the Midsphere Radius of Tetrahedron be negative?

No, the Midsphere Radius of Tetrahedron, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Tetrahedron?

Midsphere Radius of Tetrahedron 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 can be measured.

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