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Face Area of Tetrahedron given Circumsphere Radius Formula

GoFace Area of Tetrahedron Formula

GoFace Area of Tetrahedron given Insphere Radius 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 = \frac{\sqrt{3}}{4} \cdot {(\frac{2 \cdot \sqrt{2} \cdot r c}{\sqrt{3}})}^{2}

A_Face - Face Area of Tetrahedron?r_c - Circumsphere Radius of Tetrahedron?

Face Area of Tetrahedron given Circumsphere Radius Example

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

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

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

41.5692 = \frac{\sqrt{3}}{4} \cdot {(\frac{2 \cdot \sqrt{2} \cdot 6}{\sqrt{3}})}^{2}

41.5692m² = \frac{\sqrt{3}}{4} \cdot {(\frac{2 \cdot \sqrt{2} \cdot 6m}{\sqrt{3}})}^{2}

41.5692 = \frac{\sqrt{3}}{4} \cdot {(\frac{2 \cdot \sqrt{2} \cdot 6}{\sqrt{3}})}^{2}

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Face Area of Tetrahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{2 \cdot \sqrt{2} \cdot r c}{\sqrt{3}})}^{2}

Next Step Substitute values of Variables

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{2 \cdot \sqrt{2} \cdot 6m}{\sqrt{3}})}^{2}

Next Step Prepare to Evaluate

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{2 \cdot \sqrt{2} \cdot 6}{\sqrt{3}})}^{2}

Next Step Evaluate

∴

A Face = 41.5692193816531m²

LAST Step Rounding Answer

∴

A Face = 41.5692m²

Face Area of Tetrahedron given Circumsphere 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

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 Face Area of Tetrahedron

Go Face Area of Tetrahedron

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

Go Face Area of Tetrahedron given Insphere Radius

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

Go Face Area of Tetrahedron given Midsphere Radius

A Face = \frac{\sqrt{3}}{4} \cdot {(2 \cdot \sqrt{2} \cdot r m)}^{2}

Go Face Area of Tetrahedron given Surface to Volume Ratio

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{6 \cdot \sqrt{6}}{R A/V})}^{2}

How to Evaluate Face Area of Tetrahedron given Circumsphere Radius?

Face Area of Tetrahedron given Circumsphere Radius evaluator uses Face Area of Tetrahedron = (sqrt(3))/4*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2 to evaluate the Face Area of Tetrahedron, The Face Area of Tetrahedron given Circumsphere Radius formula is defined as the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron, and calculated using the circumsphere radius of the Tetrahedron. Face Area of Tetrahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Tetrahedron given Circumsphere Radius

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

The formula of Face Area of Tetrahedron given Circumsphere Radius is expressed as Face Area of Tetrahedron = (sqrt(3))/4*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2. Here is an example- 41.56922 = (sqrt(3))/4*((2*sqrt(2)*6)/sqrt(3))^2.

How to calculate Face Area of Tetrahedron given Circumsphere Radius?

With Circumsphere Radius of Tetrahedron (r_c) we can find Face Area of Tetrahedron given Circumsphere Radius using the formula - Face Area of Tetrahedron = (sqrt(3))/4*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2. This formula also uses Square Root Function 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
Face Area of Tetrahedron=6*sqrt(3)*Insphere Radius of Tetrahedron^2
Face Area of Tetrahedron=(sqrt(3))/4*(2*sqrt(2)*Midsphere Radius of Tetrahedron)^2

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

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

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

Face Area of Tetrahedron given Circumsphere 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 Circumsphere Radius can be measured.

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