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Insphere Radius of Tetrahedron given Circumsphere 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 = \frac{r c}{3}

r_i - Insphere Radius of Tetrahedron?r_c - Circumsphere Radius of Tetrahedron?

Insphere Radius of Tetrahedron given Circumsphere Radius Example

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

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

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

2 = \frac{6}{3}

2m = \frac{6m}{3}

2 = \frac{6}{3}

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Insphere Radius of Tetrahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{6m}{3}

Next Step Prepare to Evaluate

∴

r i = \frac{6}{3}

LAST Step Evaluate

∴

r i = 2m

Insphere Radius of Tetrahedron given Circumsphere Radius Formula Elements

Variables

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

Circumsphere Radius of Tetrahedron

Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Tetrahedron

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 Midsphere Radius

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

How to Evaluate Insphere Radius of Tetrahedron given Circumsphere Radius?

Insphere Radius of Tetrahedron given Circumsphere Radius evaluator uses Insphere Radius of Tetrahedron = Circumsphere Radius of Tetrahedron/3 to evaluate the Insphere Radius of Tetrahedron, The Insphere Radius of Tetrahedron given Circumsphere 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 circumsphere radius of Tetrahedron. Insphere Radius of Tetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Tetrahedron given Circumsphere Radius

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

The formula of Insphere Radius of Tetrahedron given Circumsphere Radius is expressed as Insphere Radius of Tetrahedron = Circumsphere Radius of Tetrahedron/3. Here is an example- 2 = 6/3.

How to calculate Insphere Radius of Tetrahedron given Circumsphere Radius?

With Circumsphere Radius of Tetrahedron (r_c) we can find Insphere Radius of Tetrahedron given Circumsphere Radius using the formula - Insphere Radius of Tetrahedron = Circumsphere Radius of Tetrahedron/3.

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 Circumsphere Radius be negative?

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

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

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

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