Edge Length of Stellated Octahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Stellated Octahedron = (4*Circumsphere Radius of Stellated Octahedron)/sqrt(6)
le = (4*rc)/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 Stellated Octahedron - (Measured in Meter) - Edge Length of Stellated Octahedron is the distance between any pair of adjacent peak vertices of 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
le = (4*rc)/sqrt(6) --> (4*6)/sqrt(6)
Evaluating ... ...
le = 9.79795897113271
STEP 3: Convert Result to Output's Unit
9.79795897113271 Meter --> No Conversion Required
FINAL ANSWER
9.79795897113271 9.797959 Meter <-- Edge Length of Stellated Octahedron
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verifier Image
Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

Edge Length of Stellated Octahedron Calculators

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

Edge Length of Stellated Octahedron given Circumsphere Radius Formula

​LaTeX ​Go
Edge Length of Stellated Octahedron = (4*Circumsphere Radius of Stellated Octahedron)/sqrt(6)
le = (4*rc)/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 Stellated Octahedron given Circumsphere Radius?

Edge Length of Stellated Octahedron given Circumsphere Radius calculator uses Edge Length of Stellated Octahedron = (4*Circumsphere Radius of Stellated Octahedron)/sqrt(6) to calculate the Edge Length of Stellated Octahedron, Edge Length of Stellated Octahedron given Circumsphere Radius formula is defined as the distance between any pair of adjacent peak vertices of the Stellated Octahedron, calculated using its circumsphere radius. Edge Length of Stellated Octahedron is denoted by le symbol.

How to calculate Edge Length of Stellated Octahedron given Circumsphere Radius using this online calculator? To use this online calculator for Edge Length of Stellated Octahedron given Circumsphere Radius, enter Circumsphere Radius of Stellated Octahedron (rc) and hit the calculate button. Here is how the Edge Length of Stellated Octahedron given Circumsphere Radius calculation can be explained with given input values -> 9.797959 = (4*6)/sqrt(6).

FAQ

What is Edge Length of Stellated Octahedron given Circumsphere Radius?
Edge Length of Stellated Octahedron given Circumsphere Radius formula is defined as the distance between any pair of adjacent peak vertices of the Stellated Octahedron, calculated using its circumsphere radius and is represented as le = (4*rc)/sqrt(6) or Edge Length of Stellated Octahedron = (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 Stellated Octahedron given Circumsphere Radius?
Edge Length of Stellated Octahedron given Circumsphere Radius formula is defined as the distance between any pair of adjacent peak vertices of the Stellated Octahedron, calculated using its circumsphere radius is calculated using Edge Length of Stellated Octahedron = (4*Circumsphere Radius of Stellated Octahedron)/sqrt(6). To calculate Edge Length of Stellated Octahedron given Circumsphere Radius, you need Circumsphere Radius of Stellated Octahedron (rc). 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 Stellated Octahedron?
In this formula, Edge Length 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 Stellated Octahedron = 2*Edge Length of Peaks of Stellated Octahedron
  • Edge Length of Stellated Octahedron = sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))
  • Edge Length of Stellated Octahedron = ((8*Volume of Stellated Octahedron)/(sqrt(2)))^(1/3)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!