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Insphere Radius of Tetrahedron Formula

GoInsphere Radius of Tetrahedron given Face Area Formula

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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. Check FAQs

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

r_i - Insphere Radius of Tetrahedron?l_e - Edge Length of Tetrahedron?

Insphere Radius of Tetrahedron Example

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

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

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

2.0412 = \frac{10}{2 \cdot \sqrt{6}}

2.0412m = \frac{10m}{2 \cdot \sqrt{6}}

2.0412 = \frac{10}{2 \cdot \sqrt{6}}

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Insphere Radius of Tetrahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{10m}{2 \cdot \sqrt{6}}

Next Step Prepare to Evaluate

∴

r i = \frac{10}{2 \cdot \sqrt{6}}

Next Step Evaluate

∴

r i = 2.04124145231932m

LAST Step Rounding Answer

∴

r i = 2.0412m

Insphere Radius of Tetrahedron Formula Elements

Variables

Functions

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

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 Insphere Radius of Tetrahedron

Go Insphere Radius of Tetrahedron given Face Area

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

Other formulas in Insphere Radius of Tetrahedron category

Go Circumsphere Radius of Tetrahedron

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

Go Midsphere Radius of Tetrahedron

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

Go Circumsphere Radius of Tetrahedron given Height

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

Go Midsphere Radius of Tetrahedron given Insphere Radius

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

How to Evaluate Insphere Radius of Tetrahedron?

Insphere Radius of Tetrahedron evaluator uses Insphere Radius of Tetrahedron = Edge Length of Tetrahedron/(2*sqrt(6)) to evaluate the Insphere Radius of Tetrahedron, Insphere Radius of Tetrahedron formula is defined as the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere. Insphere Radius of Tetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Tetrahedron

What is the formula to find Insphere Radius of Tetrahedron?

The formula of Insphere Radius of Tetrahedron is expressed as Insphere Radius of Tetrahedron = Edge Length of Tetrahedron/(2*sqrt(6)). Here is an example- 2.041241 = 10/(2*sqrt(6)).

How to calculate Insphere Radius of Tetrahedron?

With Edge Length of Tetrahedron (l_e) we can find Insphere Radius of Tetrahedron using the formula - Insphere Radius of Tetrahedron = Edge Length of Tetrahedron/(2*sqrt(6)). This formula also uses Square Root (sqrt) function(s).

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

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

Insphere Radius of Tetrahedron=sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(6))

Can the Insphere Radius of Tetrahedron be negative?

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

Which unit is used to measure Insphere Radius of Tetrahedron?

Insphere 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 Insphere Radius of Tetrahedron can be measured.

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