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Insphere Radius of Tetrahedron given Midsphere Radius Formula

GoInsphere Radius of Tetrahedron given Face Area Formula

GoInsphere Radius of Tetrahedron Formula

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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. Check FAQs

r i = 2 \cdot \sqrt{2} \cdot \frac{r m}{2 \cdot \sqrt{6}}

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

Insphere Radius of Tetrahedron given Midsphere Radius Example

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

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

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

2.3094 = 2 \cdot \sqrt{2} \cdot \frac{4}{2 \cdot \sqrt{6}}

2.3094m = 2 \cdot \sqrt{2} \cdot \frac{4m}{2 \cdot \sqrt{6}}

2.3094 = 2 \cdot \sqrt{2} \cdot \frac{4}{2 \cdot \sqrt{6}}

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Insphere Radius of Tetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

r i = 2 \cdot \sqrt{2} \cdot \frac{r m}{2 \cdot \sqrt{6}}

Next Step Substitute values of Variables

∴

r i = 2 \cdot \sqrt{2} \cdot \frac{4m}{2 \cdot \sqrt{6}}

Next Step Prepare to Evaluate

∴

r i = 2 \cdot \sqrt{2} \cdot \frac{4}{2 \cdot \sqrt{6}}

Next Step Evaluate

∴

r i = 2.3094010767585m

LAST Step Rounding Answer

∴

r i = 2.3094m

Insphere Radius of Tetrahedron given Midsphere Radius Formula Elements

Variables

Functions

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

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

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 Insphere Radius of Tetrahedron

Go Insphere Radius of Tetrahedron given Face Area

r i = \frac{\sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Go Insphere Radius of Tetrahedron

r i = \frac{l e}{2 \cdot \sqrt{6}}

Go Insphere Radius of Tetrahedron given Height

r i = \frac{h}{4}

Go Insphere Radius of Tetrahedron given Circumsphere Radius

r i = \frac{r c}{3}

How to Evaluate Insphere Radius of Tetrahedron given Midsphere Radius?

Insphere Radius of Tetrahedron given Midsphere Radius evaluator uses Insphere Radius of Tetrahedron = 2*sqrt(2)*Midsphere Radius of Tetrahedron/(2*sqrt(6)) to evaluate the Insphere Radius of Tetrahedron, The Insphere Radius of Tetrahedron given Midsphere Radius formula is defined as the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere, calculated using midsphere radius of Tetrahedron. Insphere Radius of Tetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Tetrahedron given Midsphere Radius

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

The formula of Insphere Radius of Tetrahedron given Midsphere Radius is expressed as Insphere Radius of Tetrahedron = 2*sqrt(2)*Midsphere Radius of Tetrahedron/(2*sqrt(6)). Here is an example- 2.309401 = 2*sqrt(2)*4/(2*sqrt(6)).

How to calculate Insphere Radius of Tetrahedron given Midsphere Radius?

With Midsphere Radius of Tetrahedron (r_m) we can find Insphere Radius of Tetrahedron given Midsphere Radius using the formula - Insphere Radius of Tetrahedron = 2*sqrt(2)*Midsphere Radius of Tetrahedron/(2*sqrt(6)). This formula also uses Square Root (sqrt) function(s).

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

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

Insphere Radius of Tetrahedron=sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(6))
Insphere Radius of Tetrahedron=Edge Length of Tetrahedron/(2*sqrt(6))
Insphere Radius of Tetrahedron=Height of Tetrahedron/4

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

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

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

Insphere Radius of Tetrahedron given Midsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Tetrahedron given Midsphere Radius can be measured.

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