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Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio Formula

GoCircumsphere Radius of Stellated Octahedron Formula

GoCircumsphere Radius of Stellated Octahedron given Edge Length of Peaks 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 (\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot R A/V})

r_c - Circumsphere Radius of Stellated Octahedron?R_A/V - Surface to Volume Ratio of Stellated Octahedron?

Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio Example

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Here is how the Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio equation looks like.

6.4286 = (\frac{\sqrt{6}}{4}) \cdot (\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4})

6.4286m = (\frac{\sqrt{6}}{4}) \cdot (\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4m⁻¹})

6.4286 = (\frac{\sqrt{6}}{4}) \cdot (\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4})

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Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{6}}{4}) \cdot (\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4m⁻¹})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{6}}{4}) \cdot (\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4})

Next Step Evaluate

∴

r c = 6.42857142857143m

LAST Step Rounding Answer

∴

r c = 6.4286m

Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Stellated Octahedron

Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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

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

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}})

How to Evaluate Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio?

Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio evaluator uses Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)) to evaluate the Circumsphere Radius of Stellated Octahedron, Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio 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, calculated using its surface to volume ratio. Circumsphere Radius of Stellated Octahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Stellated Octahedron (R_A/V) and hit the calculate button.

FAQs on Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio

What is the formula to find Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio?

The formula of Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio is expressed as Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)). Here is an example- 6.428571 = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4)).

How to calculate Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Stellated Octahedron (R_A/V) we can find Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio using the formula - Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)). This formula also uses Square Root (sqrt) 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)*Edge Length 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))))

Can the Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio be negative?

No, the Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio?

Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio 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 given Surface to Volume Ratio can be measured.

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