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Midsphere Radius of Tetrahedron given Face Area Formula

GoMidsphere Radius of Tetrahedron Formula

GoMidsphere Radius of Tetrahedron given Circumsphere Radius Formula

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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. Check FAQs

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

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

Midsphere Radius of Tetrahedron given Face Area Example

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

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

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

3.6042 = \frac{\sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

3.6042m = \frac{\sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

3.6042 = \frac{\sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

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Midsphere Radius of Tetrahedron given Face Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

Next Step Evaluate

∴

r m = 3.60421712120213m

LAST Step Rounding Answer

∴

r m = 3.6042m

Midsphere Radius of Tetrahedron given Face Area Formula Elements

Variables

Functions

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

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

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 Midsphere Radius of Tetrahedron

Go Midsphere Radius of Tetrahedron

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

Go Midsphere Radius of Tetrahedron given Circumsphere Radius

r m = \sqrt{\frac{1}{3}} \cdot r c

Go Midsphere Radius of Tetrahedron given Total Surface Area

r m = \frac{\sqrt{\frac{TSA}{\sqrt{3}}}}{2 \cdot \sqrt{2}}

Go Midsphere Radius of Tetrahedron given Insphere Radius

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

How to Evaluate Midsphere Radius of Tetrahedron given Face Area?

Midsphere Radius of Tetrahedron given Face Area evaluator uses Midsphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2)) to evaluate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Face Area formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using face area of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Tetrahedron given Face Area

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

The formula of Midsphere Radius of Tetrahedron given Face Area is expressed as Midsphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2)). Here is an example- 3.604217 = sqrt((4*45)/sqrt(3))/(2*sqrt(2)).

How to calculate Midsphere Radius of Tetrahedron given Face Area?

With Face Area of Tetrahedron (A_Face) we can find Midsphere Radius of Tetrahedron given Face Area using the formula - Midsphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2)). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Tetrahedron=Edge Length of Tetrahedron/(2*sqrt(2))
Midsphere Radius of Tetrahedron=sqrt(1/3)*Circumsphere Radius of Tetrahedron
Midsphere Radius of Tetrahedron=sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2))

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

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

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

Midsphere Radius of Tetrahedron given Face Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Midsphere Radius of Tetrahedron given Face Area can be measured.

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