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Midsphere Radius of Tetrahedron given Insphere Radius 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 = \sqrt{3} \cdot r i

r_m - Midsphere Radius of Tetrahedron?r_i - Insphere Radius of Tetrahedron?

Midsphere Radius of Tetrahedron given Insphere Radius Example

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

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

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

3.4641 = \sqrt{3} \cdot 2

3.4641m = \sqrt{3} \cdot 2m

3.4641 = \sqrt{3} \cdot 2

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Midsphere Radius of Tetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

r m = \sqrt{3} \cdot 2

Next Step Evaluate

∴

r m = 3.46410161513775m

LAST Step Rounding Answer

∴

r m = 3.4641m

Midsphere Radius of Tetrahedron given Insphere Radius 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

Insphere Radius of Tetrahedron

Insphere Radius of Tetrahedron is the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius 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 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}}

How to Evaluate Midsphere Radius of Tetrahedron given Insphere Radius?

Midsphere Radius of Tetrahedron given Insphere Radius evaluator uses Midsphere Radius of Tetrahedron = sqrt(3)*Insphere Radius of Tetrahedron to evaluate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Insphere Radius 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 Insphere Radius of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Tetrahedron given Insphere Radius

What is the formula to find Midsphere Radius of Tetrahedron given Insphere Radius?

The formula of Midsphere Radius of Tetrahedron given Insphere Radius is expressed as Midsphere Radius of Tetrahedron = sqrt(3)*Insphere Radius of Tetrahedron. Here is an example- 3.464102 = sqrt(3)*2.

How to calculate Midsphere Radius of Tetrahedron given Insphere Radius?

With Insphere Radius of Tetrahedron (r_i) we can find Midsphere Radius of Tetrahedron given Insphere Radius using the formula - Midsphere Radius of Tetrahedron = sqrt(3)*Insphere Radius of Tetrahedron. 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(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2))

Can the Midsphere Radius of Tetrahedron given Insphere Radius be negative?

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

Which unit is used to measure Midsphere Radius of Tetrahedron given Insphere Radius?

Midsphere Radius of Tetrahedron given Insphere Radius 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 Insphere Radius can be measured.

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