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Face Area of Tetrahedron given Insphere Radius Formula

GoFace Area of Tetrahedron Formula

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Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron. Check FAQs

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

A_Face - Face Area of Tetrahedron?r_i - Insphere Radius of Tetrahedron?

Face Area of Tetrahedron given Insphere Radius Example

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

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

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

41.5692 = 6 \cdot \sqrt{3} \cdot 2^{2}

41.5692m² = 6 \cdot \sqrt{3} \cdot {2m}^{2}

41.5692 = 6 \cdot \sqrt{3} \cdot 2^{2}

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Face Area of Tetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Face = 6 \cdot \sqrt{3} \cdot {2m}^{2}

Next Step Prepare to Evaluate

∴

A Face = 6 \cdot \sqrt{3} \cdot 2^{2}

Next Step Evaluate

∴

A Face = 41.5692193816531m²

LAST Step Rounding Answer

∴

A Face = 41.5692m²

Face Area of Tetrahedron given Insphere Radius Formula Elements

Variables

Functions

Face Area of Tetrahedron

Face Area of Tetrahedron is the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area of Tetrahedron

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

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 Face Area of Tetrahedron

Go Face Area of Tetrahedron

A Face = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Other formulas in Face Area of Tetrahedron category

Go Total Surface Area of Tetrahedron

TSA = \sqrt{3} \cdot {l e}^{2}

Go Total Surface Area of Tetrahedron given Circumsphere Radius

TSA = \sqrt{3} \cdot {(\frac{2 \cdot \sqrt{2} \cdot r c}{\sqrt{3}})}^{2}

Go Total Surface Area of Tetrahedron given Height

TSA = \sqrt{3} \cdot {(\sqrt{\frac{3}{2}} \cdot h)}^{2}

Go Total Surface Area of Tetrahedron given Volume

TSA = \sqrt{3} \cdot {(\frac{12 \cdot V}{\sqrt{2}})}^{\frac{2}{3}}

How to Evaluate Face Area of Tetrahedron given Insphere Radius?

Face Area of Tetrahedron given Insphere Radius evaluator uses Face Area of Tetrahedron = 6*sqrt(3)*Insphere Radius of Tetrahedron^2 to evaluate the Face Area of Tetrahedron, Face Area of Tetrahedron given Insphere Radius formula is defined as the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron, and calculated using the insphere radius of the Tetrahedron. Face Area of Tetrahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Tetrahedron given Insphere Radius

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

The formula of Face Area of Tetrahedron given Insphere Radius is expressed as Face Area of Tetrahedron = 6*sqrt(3)*Insphere Radius of Tetrahedron^2. Here is an example- 41.56922 = 6*sqrt(3)*2^2.

How to calculate Face Area of Tetrahedron given Insphere Radius?

With Insphere Radius of Tetrahedron (r_i) we can find Face Area of Tetrahedron given Insphere Radius using the formula - Face Area of Tetrahedron = 6*sqrt(3)*Insphere Radius of Tetrahedron^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Face Area of Tetrahedron?

Here are the different ways to Calculate Face Area of Tetrahedron-

Face Area of Tetrahedron=(sqrt(3))/4*Edge Length of Tetrahedron^2

Can the Face Area of Tetrahedron given Insphere Radius be negative?

No, the Face Area of Tetrahedron given Insphere Radius, measured in Area cannot be negative.

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

Face Area of Tetrahedron given Insphere Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Face Area of Tetrahedron given Insphere Radius can be measured.

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