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Circumsphere Radius of Tetrahedron Formula

GoCircumsphere Radius of Tetrahedron given Height 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 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot l e

r_c - Circumsphere Radius of Tetrahedron?l_e - Edge Length of Tetrahedron?

Circumsphere Radius of Tetrahedron Example

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

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

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

6.1237 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot 10

6.1237m = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot 10m

6.1237 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot 10

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Circumsphere Radius of Tetrahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot 10

Next Step Evaluate

∴

r c = 6.12372435695795m

LAST Step Rounding Answer

∴

r c = 6.1237m

Circumsphere Radius of Tetrahedron 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

Edge Length of Tetrahedron

Edge Length of Tetrahedron is the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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

Other formulas in Circumsphere Radius of Tetrahedron category

Go Insphere Radius of Tetrahedron

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

Go Insphere Radius of Tetrahedron given Face Area

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

Go Midsphere Radius of Tetrahedron

r m = \frac{l e}{2 \cdot \sqrt{2}}

Go Midsphere Radius of Tetrahedron given Insphere Radius

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

How to Evaluate Circumsphere Radius of Tetrahedron?

Circumsphere Radius of Tetrahedron evaluator uses Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*Edge Length of Tetrahedron to evaluate the Circumsphere Radius of Tetrahedron, Circumsphere Radius of Tetrahedron 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. Circumsphere Radius of Tetrahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Tetrahedron

What is the formula to find Circumsphere Radius of Tetrahedron?

The formula of Circumsphere Radius of Tetrahedron is expressed as Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*Edge Length of Tetrahedron. Here is an example- 6.123724 = 1/2*sqrt(3/2)*10.

How to calculate Circumsphere Radius of Tetrahedron?

With Edge Length of Tetrahedron (l_e) we can find Circumsphere Radius of Tetrahedron using the formula - Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*Edge Length 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

Can the Circumsphere Radius of Tetrahedron be negative?

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

Which unit is used to measure Circumsphere Radius of Tetrahedron?

Circumsphere Radius of Tetrahedron 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 can be measured.

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