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Insphere Radius of Tetrahedron given Total Surface Area Formula

GoInsphere Radius of Tetrahedron given Face Area Formula

GoInsphere Radius of Tetrahedron 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{\sqrt{\frac{TSA}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

r_i - Insphere Radius of Tetrahedron?TSA - Total Surface Area of Tetrahedron?

Insphere Radius of Tetrahedron given Total Surface Area Example

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Here is how the Insphere Radius of Tetrahedron given Total Surface Area equation looks like with Values.

Here is how the Insphere Radius of Tetrahedron given Total Surface Area equation looks like with Units.

Here is how the Insphere Radius of Tetrahedron given Total Surface Area equation looks like.

2.0223 = \frac{\sqrt{\frac{170}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

2.0223m = \frac{\sqrt{\frac{170m²}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

2.0223 = \frac{\sqrt{\frac{170}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

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Insphere Radius of Tetrahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Insphere Radius of Tetrahedron given Total Surface Area?

FIRST Step Consider the formula

r i = \frac{\sqrt{\frac{TSA}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Next Step Substitute values of Variables

∴

r i = \frac{\sqrt{\frac{170m²}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Next Step Prepare to Evaluate

∴

r i = \frac{\sqrt{\frac{170}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Next Step Evaluate

∴

r i = 2.02226714525056m

LAST Step Rounding Answer

∴

r i = 2.0223m

Insphere Radius of Tetrahedron given Total Surface Area 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

Total Surface Area of Tetrahedron

Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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}}

Go Insphere Radius of Tetrahedron

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

Go Insphere Radius of Tetrahedron given Height

r i = \frac{h}{4}

Go Insphere Radius of Tetrahedron given Circumsphere Radius

r i = \frac{r c}{3}

How to Evaluate Insphere Radius of Tetrahedron given Total Surface Area?

Insphere Radius of Tetrahedron given Total Surface Area evaluator uses Insphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(6)) to evaluate the Insphere Radius of Tetrahedron, The Insphere Radius of Tetrahedron given Total Surface Area 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, calculated using total surface area of Tetrahedron. Insphere Radius of Tetrahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Tetrahedron given Total Surface Area using this online evaluator? To use this online evaluator for Insphere Radius of Tetrahedron given Total Surface Area, enter Total Surface Area of Tetrahedron (TSA) and hit the calculate button.

FAQs on Insphere Radius of Tetrahedron given Total Surface Area

What is the formula to find Insphere Radius of Tetrahedron given Total Surface Area?

The formula of Insphere Radius of Tetrahedron given Total Surface Area is expressed as Insphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(6)). Here is an example- 2.022267 = sqrt(170/(sqrt(3)))/(2*sqrt(6)).

How to calculate Insphere Radius of Tetrahedron given Total Surface Area?

With Total Surface Area of Tetrahedron (TSA) we can find Insphere Radius of Tetrahedron given Total Surface Area using the formula - Insphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(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))
Insphere Radius of Tetrahedron=Edge Length of Tetrahedron/(2*sqrt(6))
Insphere Radius of Tetrahedron=Height of Tetrahedron/4

Can the Insphere Radius of Tetrahedron given Total Surface Area be negative?

No, the Insphere Radius of Tetrahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Tetrahedron given Total Surface Area?

Insphere Radius of Tetrahedron given Total Surface Area 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 given Total Surface Area can be measured.

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