Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius Calculator

✖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.ⓘ Circumsphere Radius of Stellated Octahedron [r_c]

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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.ⓘ Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius [l_e(Peaks)]

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Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))
l_e(Peaks) = (1/2)*(4*r_c/sqrt(6))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Edge Length of Peaks of Stellated Octahedron - (Measured in Meter) - 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.
Circumsphere Radius of Stellated Octahedron - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Stellated Octahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Peaks) = (1/2)*(4*r_c/sqrt(6)) --> (1/2)*(4*6/sqrt(6))

Evaluating ... ...

l_e(Peaks) = 4.89897948556636

STEP 3: Convert Result to Output's Unit

4.89897948556636 Meter --> No Conversion Required

FINAL ANSWER

4.89897948556636 ≈ 4.898979 Meter <-- Edge Length of Peaks of Stellated Octahedron

(Calculation completed in 00.007 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Edge Length of Peaks of Stellated Octahedron Calculators

Edge Length of Peaks of Stellated Octahedron given Total Surface Area

LaTeX Go 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 given Circumsphere Radius

LaTeX Go Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))

Edge Length of Peaks of Stellated Octahedron given Volume

LaTeX Go Edge Length of Peaks of Stellated Octahedron = (1/2)*((8*Volume of Stellated Octahedron/sqrt(2))^(1/3))

Edge Length of Peaks of Stellated Octahedron

LaTeX Go Edge Length of Peaks of Stellated Octahedron = Edge Length of Stellated Octahedron/2

Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius Formula

LaTeX Go

Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))
l_e(Peaks) = (1/2)*(4*r_c/sqrt(6))

What is Stellated Octahedron?

The Stellated Octahedron is the only stellation of the octahedron. It is also called the stella octangula, a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers.
It is the simplest of five regular polyhedral compounds, and the only regular compound of two tetrahedra. It is also the least dense of the regular polyhedral compounds, having a density of 2.

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

Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius calculator uses Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)) to calculate 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 calculate Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius using this online calculator? To use this online calculator for Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius, enter Circumsphere Radius of Stellated Octahedron (r_c) and hit the calculate button. Here is how the Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius calculation can be explained with given input values -> 4.898979 = (1/2)*(4*6/sqrt(6)).

FAQ

What is Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius?

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 and is represented as l_e(Peaks) = (1/2)*(4*r_c/sqrt(6)) or Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)). 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.

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

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 is calculated using Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)). To calculate Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius, you need Circumsphere Radius of Stellated Octahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Stellated Octahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Peaks of Stellated Octahedron?

In this formula, Edge Length of Peaks of Stellated Octahedron uses Circumsphere Radius of Stellated Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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