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Circumsphere Radius of Tetrahedron given Total Surface 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{TSA}{\sqrt{3}}}

r_c - Circumsphere Radius of Tetrahedron?TSA - Total Surface Area of Tetrahedron?

Circumsphere Radius of Tetrahedron given Total Surface Area Example

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

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

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

6.0668 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{170}{\sqrt{3}}}

6.0668m = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{170m²}{\sqrt{3}}}

6.0668 = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{170}{\sqrt{3}}}

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Circumsphere Radius of Tetrahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{170m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{170}{\sqrt{3}}}

Next Step Evaluate

∴

r c = 6.06680143575168m

LAST Step Rounding Answer

∴

r c = 6.0668m

Circumsphere Radius of Tetrahedron given Total Surface 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

Total Surface Area of Tetrahedron

Total Surface Area of Tetrahedron is the total quantity of plane enclosed by the entire surface of the Tetrahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface 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 Face Area

r c = \frac{1}{2} \cdot \sqrt{\frac{3}{2}} \cdot \sqrt{\frac{4 \cdot A Face}{\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 Total Surface Area?

Circumsphere Radius of Tetrahedron given Total Surface Area evaluator uses Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt(Total Surface Area of Tetrahedron/(sqrt(3))) to evaluate the Circumsphere Radius of Tetrahedron, The Circumsphere Radius of Tetrahedron given Total Surface 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 Total Surface Area of Tetrahedron. Circumsphere Radius of Tetrahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Tetrahedron given Total Surface Area

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

The formula of Circumsphere Radius of Tetrahedron given Total Surface Area is expressed as Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt(Total Surface Area of Tetrahedron/(sqrt(3))). Here is an example- 6.066801 = 1/2*sqrt(3/2)*sqrt(170/(sqrt(3))).

How to calculate Circumsphere Radius of Tetrahedron given Total Surface Area?

With Total Surface Area of Tetrahedron (TSA) we can find Circumsphere Radius of Tetrahedron given Total Surface Area using the formula - Circumsphere Radius of Tetrahedron = 1/2*sqrt(3/2)*sqrt(Total Surface 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((4*Face Area of Tetrahedron)/sqrt(3))

Can the Circumsphere Radius of Tetrahedron given Total Surface Area be negative?

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

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

Circumsphere Radius of Tetrahedron given Total Surface 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 Total Surface Area can be measured.

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