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Face Area of Tetrahedron given Midsphere 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 {(2 \cdot \sqrt{2} \cdot r m)}^{2}

A_Face - Face Area of Tetrahedron?r_m - Midsphere Radius of Tetrahedron?

Face Area of Tetrahedron given Midsphere Radius Example

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

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

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

55.4256 = \frac{\sqrt{3}}{4} \cdot {(2 \cdot \sqrt{2} \cdot 4)}^{2}

55.4256m² = \frac{\sqrt{3}}{4} \cdot {(2 \cdot \sqrt{2} \cdot 4m)}^{2}

55.4256 = \frac{\sqrt{3}}{4} \cdot {(2 \cdot \sqrt{2} \cdot 4)}^{2}

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Face Area of Tetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A Face = 55.4256258422041m²

LAST Step Rounding Answer

∴

A Face = 55.4256m²

Face Area of Tetrahedron given Midsphere 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

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 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 Circumsphere Radius

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

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

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

FAQs on Face Area of Tetrahedron given Midsphere Radius

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

The formula of Face Area of Tetrahedron given Midsphere Radius is expressed as Face Area of Tetrahedron = (sqrt(3))/4*(2*sqrt(2)*Midsphere Radius of Tetrahedron)^2. Here is an example- 55.42563 = (sqrt(3))/4*(2*sqrt(2)*4)^2.

How to calculate Face Area of Tetrahedron given Midsphere Radius?

With Midsphere Radius of Tetrahedron (r_m) we can find Face Area of Tetrahedron given Midsphere Radius using the formula - Face Area of Tetrahedron = (sqrt(3))/4*(2*sqrt(2)*Midsphere 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
Face Area of Tetrahedron=6*sqrt(3)*Insphere Radius of Tetrahedron^2
Face Area of Tetrahedron=(sqrt(3))/4*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2

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

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

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

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

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