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Edge Length of Tetrahedron given Midsphere Radius Formula

GoEdge Length of Tetrahedron given Total Surface Area Formula

GoEdge Length of Tetrahedron given Face 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{2} \cdot r m

l_e - Edge Length of Tetrahedron?r_m - Midsphere Radius of Tetrahedron?

Edge Length of Tetrahedron given Midsphere Radius Example

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

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

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

11.3137 = 2 \cdot \sqrt{2} \cdot 4

11.3137m = 2 \cdot \sqrt{2} \cdot 4m

11.3137 = 2 \cdot \sqrt{2} \cdot 4

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Edge Length of Tetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = 2 \cdot \sqrt{2} \cdot 4m

Next Step Prepare to Evaluate

∴

l e = 2 \cdot \sqrt{2} \cdot 4

Next Step Evaluate

∴

l e = 11.3137084989848m

LAST Step Rounding Answer

∴

l e = 11.3137m

Edge Length of Tetrahedron given Midsphere 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

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 Edge Length of Tetrahedron

Go Edge Length of Tetrahedron given Total Surface Area

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

Go Edge Length of Tetrahedron given Face Area

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

Go Edge Length of Tetrahedron given Height

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

Go Edge Length of Tetrahedron given Insphere Radius

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

How to Evaluate Edge Length of Tetrahedron given Midsphere Radius?

Edge Length of Tetrahedron given Midsphere Radius evaluator uses Edge Length of Tetrahedron = 2*sqrt(2)*Midsphere Radius of Tetrahedron to evaluate the Edge Length of Tetrahedron, The Edge Length of Tetrahedron given Midsphere 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 midsphere radius of the Tetrahedron. Edge Length of Tetrahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Tetrahedron given Midsphere Radius

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

The formula of Edge Length of Tetrahedron given Midsphere Radius is expressed as Edge Length of Tetrahedron = 2*sqrt(2)*Midsphere Radius of Tetrahedron. Here is an example- 11.31371 = 2*sqrt(2)*4.

How to calculate Edge Length of Tetrahedron given Midsphere Radius?

With Midsphere Radius of Tetrahedron (r_m) we can find Edge Length of Tetrahedron given Midsphere Radius using the formula - Edge Length of Tetrahedron = 2*sqrt(2)*Midsphere 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(Total Surface Area of Tetrahedron/(sqrt(3)))
Edge Length of Tetrahedron=sqrt((4*Face Area of Tetrahedron)/sqrt(3))
Edge Length of Tetrahedron=sqrt(3/2)*Height of Tetrahedron

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

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

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

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

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