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Circumsphere Radius of Tetrahedron given Insphere Radius Formula

GoCircumsphere Radius of Tetrahedron given Height Formula

GoCircumsphere Radius of Tetrahedron Formula

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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. Check FAQs

r c = 3 \cdot r i

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

Circumsphere Radius of Tetrahedron given Insphere Radius Example

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

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

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

6 = 3 \cdot 2

6m = 3 \cdot 2m

6 = 3 \cdot 2

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Circumsphere Radius of Tetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

r c = 3 \cdot r i

Next Step Substitute values of Variables

∴

r c = 3 \cdot 2m

Next Step Prepare to Evaluate

∴

r c = 3 \cdot 2

LAST Step Evaluate

∴

r c = 6m

Circumsphere Radius of Tetrahedron given Insphere Radius Formula Elements

Variables

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

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

Other Formulas to find Circumsphere Radius of Tetrahedron

Go Circumsphere Radius of Tetrahedron given Height

r c = \frac{3}{4} \cdot h

Go Circumsphere Radius of Tetrahedron

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot l e

Go Circumsphere Radius of Tetrahedron given Face Area

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

Go Circumsphere Radius of Tetrahedron given Total Surface Area

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{TSA}{\sqrt{3}}}

How to Evaluate Circumsphere Radius of Tetrahedron given Insphere Radius?

Circumsphere Radius of Tetrahedron given Insphere Radius evaluator uses Circumsphere Radius of Tetrahedron = 3*Insphere Radius of Tetrahedron to evaluate the Circumsphere Radius of Tetrahedron, The Circumsphere Radius of Tetrahedron given Insphere Radius formula is defined as the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere, calculated using Insphere Radius. Circumsphere Radius of Tetrahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Tetrahedron given Insphere Radius

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

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

How to calculate Circumsphere Radius of Tetrahedron given Insphere Radius?

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

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

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

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

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

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

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

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

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