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Circumsphere 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{3}{4} \cdot h

r_c - Circumsphere Radius of Tetrahedron?h - Height of Tetrahedron?

Circumsphere Radius of Tetrahedron given Height Example

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

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

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

6 = \frac{3}{4} \cdot 8

6m = \frac{3}{4} \cdot 8m

6 = \frac{3}{4} \cdot 8

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Circumsphere Radius of Tetrahedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{3}{4} \cdot 8m

Next Step Prepare to Evaluate

∴

r c = \frac{3}{4} \cdot 8

LAST Step Evaluate

∴

r c = 6m

Circumsphere Radius of Tetrahedron given Height Formula Elements

Variables

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

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

Other Formulas to find Circumsphere Radius of Tetrahedron

Go Circumsphere Radius of Tetrahedron

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

Other formulas in Circumsphere Radius of Tetrahedron category

Go Insphere Radius of Tetrahedron

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

Go Insphere Radius of Tetrahedron given Face Area

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

Go Midsphere Radius of Tetrahedron

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

Go Midsphere Radius of Tetrahedron given Insphere Radius

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

How to Evaluate Circumsphere Radius of Tetrahedron given Height?

Circumsphere Radius of Tetrahedron given Height evaluator uses Circumsphere Radius of Tetrahedron = 3/4*Height of Tetrahedron to evaluate the Circumsphere Radius of Tetrahedron, Circumsphere Radius of Tetrahedron given Height 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, and calculated using the height of the Tetrahedron. Circumsphere Radius of Tetrahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Tetrahedron given Height

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

The formula of Circumsphere Radius of Tetrahedron given Height is expressed as Circumsphere Radius of Tetrahedron = 3/4*Height of Tetrahedron. Here is an example- 6 = 3/4*8.

How to calculate Circumsphere Radius of Tetrahedron given Height?

With Height of Tetrahedron (h) we can find Circumsphere Radius of Tetrahedron given Height using the formula - Circumsphere Radius of Tetrahedron = 3/4*Height of Tetrahedron.

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=1/2*sqrt(3/2)*Edge Length of Tetrahedron

Can the Circumsphere Radius of Tetrahedron given Height be negative?

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

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

Circumsphere 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 Circumsphere Radius of Tetrahedron given Height can be measured.

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