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Circumsphere Radius of Tetrahedron given Face Area Formula

GoCircumsphere Radius of Tetrahedron given Height Formula

GoCircumsphere Radius of Tetrahedron Formula

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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. Check FAQs

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

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

Circumsphere Radius of Tetrahedron given Face Area Example

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

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

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

6.2427 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

6.2427m = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}

6.2427 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

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Circumsphere Radius of Tetrahedron given Face Area Solution

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

FIRST Step Consider the formula

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

Next Step Substitute values of Variables

∴

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

Next Step Evaluate

∴

r c = 6.24268717543173m

LAST Step Rounding Answer

∴

r c = 6.2427m

Circumsphere Radius of Tetrahedron given Face Area Formula Elements

Variables

Functions

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

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 Circumsphere Radius of Tetrahedron

Go Circumsphere Radius of Tetrahedron given Height

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

Go Circumsphere Radius of Tetrahedron

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

Go Circumsphere Radius of Tetrahedron given Total Surface Area

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

Go Circumsphere Radius of Tetrahedron given Volume

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot {(6 \cdot \sqrt{2} \cdot V)}^{\frac{1}{3}}

How to Evaluate Circumsphere Radius of Tetrahedron given Face Area?

Circumsphere Radius of Tetrahedron given Face Area evaluator uses Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt((4*Face Area of Tetrahedron)/sqrt(3)) to evaluate the Circumsphere Radius of Tetrahedron, The Circumsphere Radius of Tetrahedron given Face Area formula is defined as the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere, calculated using face area of Tetrahedron. Circumsphere Radius of Tetrahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Tetrahedron given Face Area

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

The formula of Circumsphere Radius of Tetrahedron given Face Area is expressed as Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt((4*Face Area of Tetrahedron)/sqrt(3)). Here is an example- 6.242687 = 1/2*sqrt(3/2)*sqrt((4*45)/sqrt(3)).

How to calculate Circumsphere Radius of Tetrahedron given Face Area?

With Face Area of Tetrahedron (A_Face) we can find Circumsphere Radius of Tetrahedron given Face Area using the formula - Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt((4*Face Area of Tetrahedron)/sqrt(3)). This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Tetrahedron=3/4*Height of Tetrahedron
Circumsphere Radius of Tetrahedron=1/2*sqrt(3/2)*Edge Length of Tetrahedron
Circumsphere Radius of Tetrahedron=1/2*sqrt(3/2)*sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))

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

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

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

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

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