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Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius Formula

GoEdge Length of Peaks of Stellated Octahedron Formula

GoEdge Length of Peaks of Stellated Octahedron given Total Surface Area Formula

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Edge Length of Peaks of Stellated Octahedron is the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron. Check FAQs

l e(Peaks) = (\frac{1}{2}) \cdot (4 \cdot \frac{r c}{\sqrt{6}})

l_e(Peaks) - Edge Length of Peaks of Stellated Octahedron?r_c - Circumsphere Radius of Stellated Octahedron?

Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius Example

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Here is how the Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius equation looks like with Values.

Here is how the Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius equation looks like with Units.

Here is how the Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius equation looks like.

4.899 = (\frac{1}{2}) \cdot (4 \cdot \frac{6}{\sqrt{6}})

4.899m = (\frac{1}{2}) \cdot (4 \cdot \frac{6m}{\sqrt{6}})

4.899 = (\frac{1}{2}) \cdot (4 \cdot \frac{6}{\sqrt{6}})

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Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius?

FIRST Step Consider the formula

l e(Peaks) = (\frac{1}{2}) \cdot (4 \cdot \frac{r c}{\sqrt{6}})

Next Step Substitute values of Variables

∴

l e(Peaks) = (\frac{1}{2}) \cdot (4 \cdot \frac{6m}{\sqrt{6}})

Next Step Prepare to Evaluate

∴

l e(Peaks) = (\frac{1}{2}) \cdot (4 \cdot \frac{6}{\sqrt{6}})

Next Step Evaluate

∴

l e(Peaks) = 4.89897948556636m

LAST Step Rounding Answer

∴

l e(Peaks) = 4.899m

Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius Formula Elements

Variables

Functions

Edge Length of Peaks of Stellated Octahedron

Edge Length of Peaks of Stellated Octahedron is the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron.

Symbol: l_e(Peaks)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Peaks of Stellated Octahedron

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

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 Edge Length of Peaks of Stellated Octahedron

Go Edge Length of Peaks of Stellated Octahedron

l e(Peaks) = \frac{l e}{2}

Go Edge Length of Peaks of Stellated Octahedron given Total Surface Area

l e(Peaks) = (\frac{1}{2}) \cdot (\sqrt{\frac{2 \cdot TSA}{3 \cdot \sqrt{3}}})

Go Edge Length of Peaks of Stellated Octahedron given Volume

l e(Peaks) = (\frac{1}{2}) \cdot ({(8 \cdot \frac{V}{\sqrt{2}})}^{\frac{1}{3}})

Go Edge Length of Peaks of Stellated Octahedron given Surface to Volume Ratio

l e(Peaks) = (\frac{1}{2}) \cdot (\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot R A/V})

How to Evaluate Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius?

Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius evaluator uses Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)) to evaluate the Edge Length of Peaks of Stellated Octahedron, Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius formula is defined as the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron, calculated using its circumsphere radius. Edge Length of Peaks of Stellated Octahedron is denoted by l_e(Peaks) symbol.

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

FAQs on Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius

What is the formula to find Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius?

The formula of Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius is expressed as Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)). Here is an example- 4.898979 = (1/2)*(4*6/sqrt(6)).

How to calculate Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius?

With Circumsphere Radius of Stellated Octahedron (r_c) we can find Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius using the formula - Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Peaks of Stellated Octahedron?

Here are the different ways to Calculate Edge Length of Peaks of Stellated Octahedron-

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

Can the Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius be negative?

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

Which unit is used to measure Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius?

Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius can be measured.

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