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Circumsphere Radius of Tetrahedron given Midsphere 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 = \sqrt{3} \cdot r m

r_c - Circumsphere Radius of Tetrahedron?r_m - Midsphere Radius of Tetrahedron?

Circumsphere Radius of Tetrahedron given Midsphere Radius Example

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

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

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

6.9282 = \sqrt{3} \cdot 4

6.9282m = \sqrt{3} \cdot 4m

6.9282 = \sqrt{3} \cdot 4

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Circumsphere Radius of Tetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{3} \cdot 4m

Next Step Prepare to Evaluate

∴

r c = \sqrt{3} \cdot 4

Next Step Evaluate

∴

r c = 6.92820323027551m

LAST Step Rounding Answer

∴

r c = 6.9282m

Circumsphere Radius of Tetrahedron given Midsphere Radius Formula Elements

Variables

Functions

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

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 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 Midsphere Radius?

Circumsphere Radius of Tetrahedron given Midsphere Radius evaluator uses Circumsphere Radius of Tetrahedron = sqrt(3)*Midsphere Radius of Tetrahedron to evaluate the Circumsphere Radius of Tetrahedron, The Circumsphere Radius of Tetrahedron given Midsphere 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 Midphere radius of Tetrahedron. Circumsphere Radius of Tetrahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Tetrahedron given Midsphere Radius

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

The formula of Circumsphere Radius of Tetrahedron given Midsphere Radius is expressed as Circumsphere Radius of Tetrahedron = sqrt(3)*Midsphere Radius of Tetrahedron. Here is an example- 6.928203 = sqrt(3)*4.

How to calculate Circumsphere Radius of Tetrahedron given Midsphere Radius?

With Midsphere Radius of Tetrahedron (r_m) we can find Circumsphere Radius of Tetrahedron given Midsphere Radius using the formula - Circumsphere Radius of Tetrahedron = sqrt(3)*Midsphere Radius of Tetrahedron. This formula also uses Square Root (sqrt) function(s).

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 Midsphere Radius be negative?

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

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

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

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