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Midsphere Radius of Tetrahedron given Height 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 = \sqrt{\frac{3}{2}} \cdot \frac{h}{2 \cdot \sqrt{2}}

r_m - Midsphere Radius of Tetrahedron?h - Height of Tetrahedron?

Midsphere Radius of Tetrahedron given Height Example

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

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

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

3.4641 = \sqrt{\frac{3}{2}} \cdot \frac{8}{2 \cdot \sqrt{2}}

3.4641m = \sqrt{\frac{3}{2}} \cdot \frac{8m}{2 \cdot \sqrt{2}}

3.4641 = \sqrt{\frac{3}{2}} \cdot \frac{8}{2 \cdot \sqrt{2}}

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Midsphere Radius of Tetrahedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \sqrt{\frac{3}{2}} \cdot \frac{8m}{2 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \sqrt{\frac{3}{2}} \cdot \frac{8}{2 \cdot \sqrt{2}}

Next Step Evaluate

∴

r m = 3.46410161513775m

LAST Step Rounding Answer

∴

r m = 3.4641m

Midsphere Radius of Tetrahedron given Height 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

Height of Tetrahedron

Height of Tetrahedron is the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Face Area

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

How to Evaluate Midsphere Radius of Tetrahedron given Height?

Midsphere Radius of Tetrahedron given Height evaluator uses Midsphere Radius of Tetrahedron = sqrt(3/2)*Height of Tetrahedron/(2*sqrt(2)) to evaluate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Height 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 height of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Tetrahedron given Height

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

The formula of Midsphere Radius of Tetrahedron given Height is expressed as Midsphere Radius of Tetrahedron = sqrt(3/2)*Height of Tetrahedron/(2*sqrt(2)). Here is an example- 3.464102 = sqrt(3/2)*8/(2*sqrt(2)).

How to calculate Midsphere Radius of Tetrahedron given Height?

With Height of Tetrahedron (h) we can find Midsphere Radius of Tetrahedron given Height using the formula - Midsphere Radius of Tetrahedron = sqrt(3/2)*Height of Tetrahedron/(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 Height be negative?

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

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

Midsphere Radius of Tetrahedron given Height 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 Height can be measured.

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