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Edge Length of Tetrahedron given Circumsphere Radius Formula

GoEdge Length of Tetrahedron given Face Area Formula

GoEdge Length of Tetrahedron given Total Surface Area Formula

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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. Check FAQs

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

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

Edge Length of Tetrahedron given Circumsphere Radius Example

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

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

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

9.798 = 2 \cdot \sqrt{\frac{2}{3}} \cdot 6

9.798m = 2 \cdot \sqrt{\frac{2}{3}} \cdot 6m

9.798 = 2 \cdot \sqrt{\frac{2}{3}} \cdot 6

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Edge Length of Tetrahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = 2 \cdot \sqrt{\frac{2}{3}} \cdot 6m

Next Step Prepare to Evaluate

∴

l e = 2 \cdot \sqrt{\frac{2}{3}} \cdot 6

Next Step Evaluate

∴

l e = 9.79795897113271m

LAST Step Rounding Answer

∴

l e = 9.798m

Edge Length of Tetrahedron given Circumsphere Radius Formula Elements

Variables

Functions

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

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

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 Edge Length of Tetrahedron

Go Edge Length of Tetrahedron given Face Area

l e = \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

Go Edge Length of Tetrahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{\sqrt{3}}}

Go Edge Length of Tetrahedron given Volume

l e = {(6 \cdot \sqrt{2} \cdot V)}^{\frac{1}{3}}

How to Evaluate Edge Length of Tetrahedron given Circumsphere Radius?

Edge Length of Tetrahedron given Circumsphere Radius evaluator uses Edge Length of Tetrahedron = 2*sqrt(2/3)*Circumsphere Radius of Tetrahedron to evaluate the Edge Length of Tetrahedron, The Edge Length of Tetrahedron given Circumsphere Radius formula is defined as the length of any of edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron, and calculated using the circumsphere radius of the Tetrahedron. Edge Length of Tetrahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Tetrahedron given Circumsphere Radius

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

The formula of Edge Length of Tetrahedron given Circumsphere Radius is expressed as Edge Length of Tetrahedron = 2*sqrt(2/3)*Circumsphere Radius of Tetrahedron. Here is an example- 9.797959 = 2*sqrt(2/3)*6.

How to calculate Edge Length of Tetrahedron given Circumsphere Radius?

With Circumsphere Radius of Tetrahedron (r_c) we can find Edge Length of Tetrahedron given Circumsphere Radius using the formula - Edge Length of Tetrahedron = 2*sqrt(2/3)*Circumsphere Radius of Tetrahedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Tetrahedron?

Here are the different ways to Calculate Edge Length of Tetrahedron-

Edge Length of Tetrahedron=sqrt((4*Face Area of Tetrahedron)/sqrt(3))
Edge Length of Tetrahedron=sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))
Edge Length of Tetrahedron=(6*sqrt(2)*Volume of Tetrahedron)^(1/3)

Can the Edge Length of Tetrahedron given Circumsphere Radius be negative?

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

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

Edge Length 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 Edge Length of Tetrahedron given Circumsphere Radius can be measured.

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