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Edge length of peaks of Stellated Octahedron given circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = (1/2)*(4*Circumradius/sqrt(6))
L = (1/2)*(4*rc/sqrt(6))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Circumradius - Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Circumradius: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (1/2)*(4*rc/sqrt(6)) --> (1/2)*(4*15/sqrt(6))
Evaluating ... ...
L = 12.2474487139159
STEP 3: Convert Result to Output's Unit
12.2474487139159 Meter --> No Conversion Required
FINAL ANSWER
12.2474487139159 Meter <-- Length
(Calculation completed in 00.015 seconds)

5 Edge length of peaks of Stellated Octahedron Calculators

Edge length of peaks of Stellated Octahedron given surface to volume ratio
length = (1/2)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio)) Go
Edge length of peaks of Stellated Octahedron given surface area
length = (1/2)*(sqrt((2*Surface Area Polyhedron)/(3*sqrt(3)))) Go
Edge length of peaks of Stellated Octahedron given volume
length = (1/2)*((8*Volume/sqrt(2))^(1/3)) Go
Edge length of peaks of Stellated Octahedron given circumradius
length = (1/2)*(4*Circumradius/sqrt(6)) Go
Edge length of peaks of Stellated Octahedron given edge length
length = Side A/2 Go

Edge length of peaks of Stellated Octahedron given circumradius Formula

length = (1/2)*(4*Circumradius/sqrt(6))
L = (1/2)*(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 was depicted in Pacioli's De Divina Proportione, 1509.

How to Calculate Edge length of peaks of Stellated Octahedron given circumradius?

Edge length of peaks of Stellated Octahedron given circumradius calculator uses length = (1/2)*(4*Circumradius/sqrt(6)) to calculate the Length, Edge length of peaks of Stellated Octahedron given circumradius formula is defined as measurement of length of peaks of Stellated Octahedron. Length and is denoted by L symbol.

How to calculate Edge length of peaks of Stellated Octahedron given circumradius using this online calculator? To use this online calculator for Edge length of peaks of Stellated Octahedron given circumradius, enter Circumradius (rc) and hit the calculate button. Here is how the Edge length of peaks of Stellated Octahedron given circumradius calculation can be explained with given input values -> 12.24745 = (1/2)*(4*15/sqrt(6)).

FAQ

What is Edge length of peaks of Stellated Octahedron given circumradius?
Edge length of peaks of Stellated Octahedron given circumradius formula is defined as measurement of length of peaks of Stellated Octahedron and is represented as L = (1/2)*(4*rc/sqrt(6)) or length = (1/2)*(4*Circumradius/sqrt(6)). Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices.
How to calculate Edge length of peaks of Stellated Octahedron given circumradius?
Edge length of peaks of Stellated Octahedron given circumradius formula is defined as measurement of length of peaks of Stellated Octahedron is calculated using length = (1/2)*(4*Circumradius/sqrt(6)). To calculate Edge length of peaks of Stellated Octahedron given circumradius, you need Circumradius (rc). With our tool, you need to enter the respective value for Circumradius 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 Length?
In this formula, Length uses Circumradius. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • length = Side A/2
  • length = (1/2)*(4*Circumradius/sqrt(6))
  • length = (1/2)*(sqrt((2*Surface Area Polyhedron)/(3*sqrt(3))))
  • length = (1/2)*((8*Volume/sqrt(2))^(1/3))
  • length = (1/2)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio))
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