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Circumsphere Radius of Stellated Octahedron given Total Surface Area 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 (\sqrt{\frac{2 \cdot TSA}{3 \cdot \sqrt{3}}})

r_c - Circumsphere Radius of Stellated Octahedron?TSA - Total Surface Area of Stellated Octahedron?

Circumsphere Radius of Stellated Octahedron given Total Surface Area Example

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

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

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

6.126 = (\frac{\sqrt{6}}{4}) \cdot (\sqrt{\frac{2 \cdot 260}{3 \cdot \sqrt{3}}})

6.126m = (\frac{\sqrt{6}}{4}) \cdot (\sqrt{\frac{2 \cdot 260m²}{3 \cdot \sqrt{3}}})

6.126 = (\frac{\sqrt{6}}{4}) \cdot (\sqrt{\frac{2 \cdot 260}{3 \cdot \sqrt{3}}})

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Circumsphere Radius of Stellated Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{6}}{4}) \cdot (\sqrt{\frac{2 \cdot 260m²}{3 \cdot \sqrt{3}}})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{6}}{4}) \cdot (\sqrt{\frac{2 \cdot 260}{3 \cdot \sqrt{3}}})

Next Step Evaluate

∴

r c = 6.12599114407829m

LAST Step Rounding Answer

∴

r c = 6.126m

Circumsphere Radius of Stellated Octahedron given Total Surface Area 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

Total Surface Area of Stellated Octahedron

Total Surface Area of Stellated Octahedron is the total quantity of plane enclosed on the entire surface of the Stellated Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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 given Total Surface Area?

Circumsphere Radius of Stellated Octahedron given Total Surface Area evaluator uses Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))) to evaluate the Circumsphere Radius of Stellated Octahedron, Circumsphere Radius of Stellated Octahedron given Total Surface Area 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 total surface area. Circumsphere Radius of Stellated Octahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Stellated Octahedron given Total Surface Area

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

The formula of Circumsphere Radius of Stellated Octahedron given Total Surface Area is expressed as Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))). Here is an example- 6.125991 = (sqrt(6)/4)*(sqrt((2*260)/(3*sqrt(3)))).

How to calculate Circumsphere Radius of Stellated Octahedron given Total Surface Area?

With Total Surface Area of Stellated Octahedron (TSA) we can find Circumsphere Radius of Stellated Octahedron given Total Surface Area using the formula - Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))). 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)*((8*Volume of Stellated Octahedron/sqrt(2))^(1/3))

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

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

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

Circumsphere Radius of Stellated Octahedron 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 Stellated Octahedron given Total Surface Area can be measured.

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