FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Insphere Radius of Tetrahedron given Face Area Formula

GoInsphere Radius of Tetrahedron Formula

Fx Copy

LaTeX Copy

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. Check FAQs

r i = \frac{\sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

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

Insphere Radius of Tetrahedron given Face Area Example

With values

With units

Only example

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

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

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

2.0809 = \frac{\sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

2.0809m = \frac{\sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

2.0809 = \frac{\sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Insphere Radius of Tetrahedron given Face Area

Insphere Radius of Tetrahedron given Face Area Solution

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

FIRST Step Consider the formula

r i = \frac{\sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Next Step Substitute values of Variables

∴

r i = \frac{\sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Next Step Prepare to Evaluate

∴

r i = \frac{\sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}{2 \cdot \sqrt{6}}

Next Step Evaluate

∴

r i = 2.08089572514391m

LAST Step Rounding Answer

∴

r i = 2.0809m

Insphere Radius of Tetrahedron given Face Area Formula Elements

Variables

Functions

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

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 Insphere Radius of Tetrahedron

Go Insphere Radius of Tetrahedron

r i = \frac{l e}{2 \cdot \sqrt{6}}

Other formulas in Insphere Radius of Tetrahedron category

Go Circumsphere Radius of Tetrahedron

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot l e

Go Midsphere Radius of Tetrahedron

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

Go Circumsphere Radius of Tetrahedron given Height

r c = \frac{3}{4} \cdot h

Go Midsphere Radius of Tetrahedron given Insphere Radius

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

How to Evaluate Insphere Radius of Tetrahedron given Face Area?

Insphere Radius of Tetrahedron given Face Area evaluator uses Insphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(6)) to evaluate the Insphere Radius of Tetrahedron, Insphere Radius of Tetrahedron given Face Area formula is defined as the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere, and calculated using the face area of the Tetrahedron. Insphere Radius of Tetrahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Tetrahedron given Face Area

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

The formula of Insphere Radius of Tetrahedron given Face Area is expressed as Insphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(6)). Here is an example- 2.080896 = sqrt((4*45)/sqrt(3))/(2*sqrt(6)).

How to calculate Insphere Radius of Tetrahedron given Face Area?

With Face Area of Tetrahedron (A_Face) we can find Insphere Radius of Tetrahedron given Face Area using the formula - Insphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(6)). This formula also uses Square Root (sqrt) function(s).

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

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

Insphere Radius of Tetrahedron=Edge Length of Tetrahedron/(2*sqrt(6))

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit