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Circumsphere Radius of Stellated Octahedron Formula

GoCircumsphere Radius of Stellated Octahedron given Edge Length of Peaks Formula

GoCircumsphere Radius of Stellated Octahedron given Total Surface Area Formula

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Circumsphere Radius of Stellated Octahedron is the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere. Check FAQs

r c = (\frac{\sqrt{6}}{4}) \cdot l e

r_c - Circumsphere Radius of Stellated Octahedron?l_e - Edge Length of Stellated Octahedron?

Circumsphere Radius of Stellated Octahedron Example

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Here is how the Circumsphere Radius of Stellated Octahedron equation looks like with Values.

Here is how the Circumsphere Radius of Stellated Octahedron equation looks like with Units.

Here is how the Circumsphere Radius of Stellated Octahedron equation looks like.

6.1237 = (\frac{\sqrt{6}}{4}) \cdot 10

6.1237m = (\frac{\sqrt{6}}{4}) \cdot 10m

6.1237 = (\frac{\sqrt{6}}{4}) \cdot 10

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Circumsphere Radius of Stellated Octahedron Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Stellated Octahedron?

FIRST Step Consider the formula

r c = (\frac{\sqrt{6}}{4}) \cdot l e

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{6}}{4}) \cdot 10m

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{6}}{4}) \cdot 10

Next Step Evaluate

∴

r c = 6.12372435695795m

LAST Step Rounding Answer

∴

r c = 6.1237m

Circumsphere Radius of Stellated Octahedron Formula Elements

Variables

Functions

Circumsphere Radius of Stellated Octahedron

Circumsphere Radius of Stellated Octahedron is the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Stellated Octahedron

Edge Length of Stellated Octahedron

Edge Length of Stellated Octahedron is the distance between any pair of adjacent peak vertices of the Stellated Octahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Stellated Octahedron

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 Stellated Octahedron

Go Circumsphere Radius of Stellated Octahedron given Edge Length of Peaks

r c = (\frac{\sqrt{6}}{4}) \cdot (2 \cdot l e(Peaks))

Go Circumsphere Radius of Stellated Octahedron given Total Surface Area

r c = (\frac{\sqrt{6}}{4}) \cdot (\sqrt{\frac{2 \cdot TSA}{3 \cdot \sqrt{3}}})

Go Circumsphere Radius of Stellated Octahedron given Volume

r c = (\frac{\sqrt{6}}{4}) \cdot ({(8 \cdot \frac{V}{\sqrt{2}})}^{\frac{1}{3}})

Go Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio

r c = (\frac{\sqrt{6}}{4}) \cdot (\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot R A/V})

How to Evaluate Circumsphere Radius of Stellated Octahedron?

Circumsphere Radius of Stellated Octahedron evaluator uses Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*Edge Length of Stellated Octahedron to evaluate the Circumsphere Radius of Stellated Octahedron, Circumsphere Radius of Stellated Octahedron formula is defined as the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere. Circumsphere Radius of Stellated Octahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Stellated Octahedron using this online evaluator? To use this online evaluator for Circumsphere Radius of Stellated Octahedron, enter Edge Length of Stellated Octahedron (l_e) and hit the calculate button.

FAQs on Circumsphere Radius of Stellated Octahedron

What is the formula to find Circumsphere Radius of Stellated Octahedron?

The formula of Circumsphere Radius of Stellated Octahedron is expressed as Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*Edge Length of Stellated Octahedron. Here is an example- 6.123724 = (sqrt(6)/4)*10.

How to calculate Circumsphere Radius of Stellated Octahedron?

With Edge Length of Stellated Octahedron (l_e) we can find Circumsphere Radius of Stellated Octahedron using the formula - Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*Edge Length of Stellated Octahedron. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Circumsphere Radius of Stellated Octahedron?

Here are the different ways to Calculate Circumsphere Radius of Stellated Octahedron-

Circumsphere Radius of Stellated Octahedron=(sqrt(6)/4)*(2*Edge Length of Peaks of Stellated Octahedron)
Circumsphere Radius of Stellated Octahedron=(sqrt(6)/4)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3))))
Circumsphere Radius of Stellated Octahedron=(sqrt(6)/4)*((8*Volume of Stellated Octahedron/sqrt(2))^(1/3))

Can the Circumsphere Radius of Stellated Octahedron be negative?

No, the Circumsphere Radius of Stellated Octahedron, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Stellated Octahedron?

Circumsphere Radius of Stellated Octahedron 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 Stellated Octahedron can be measured.

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