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Edge length of octahedron of Triakis Octahedron given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (Inradius)/(sqrt((5+2*sqrt(2))/34))
Sa = (ri)/(sqrt((5+2*sqrt(2))/34))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = (ri)/(sqrt((5+2*sqrt(2))/34)) --> (10)/(sqrt((5+2*sqrt(2))/34))
Evaluating ... ...
Sa = 20.8402153311995
STEP 3: Convert Result to Output's Unit
20.8402153311995 Meter --> No Conversion Required
FINAL ANSWER
20.8402153311995 Meter <-- Side A
(Calculation completed in 00.000 seconds)

6 Edge length of octahedron of Triakis Octahedron Calculators

Edge length of octahedron of Triakis Octahedron given surface to volume ratio
side_a = (6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio) Go
Edge length of octahedron of Triakis Octahedron given surface area
side_a = sqrt(Surface Area/(6*sqrt(23-16*sqrt(2)))) Go
Edge length of octahedron of Triakis Octahedron given inradius
side_a = (Inradius)/(sqrt((5+2*sqrt(2))/34)) Go
Edge length of octahedron of Triakis Octahedron given volume
side_a = ((Volume)/(2-sqrt(2)))^(1/3) Go
Edge length of octahedron of Triakis Octahedron given edge length of pyramid
side_a = Side B/(2-sqrt(2)) Go
Edge length of octahedron of Triakis Octahedron given midradius
side_a = 2*Midradius Go

Edge length of octahedron of Triakis Octahedron given inradius Formula

side_a = (Inradius)/(sqrt((5+2*sqrt(2))/34))
Sa = (ri)/(sqrt((5+2*sqrt(2))/34))

What is triakis octahedron and what are its properties?

It can be seen as an octahedron with triangular pyramids added to each face; that is, it is the Kleetope of the octahedron. It is also sometimes called a trisoctahedron, or, more fully, trigonal trisoctahedron. Both names reflect the fact that it has three triangular faces for every face of an octahedron. The tetragonal trisoctahedron is another name for the deltoidal icositetrahedron, a different polyhedron with three quadrilateral faces for every face of an octahedron. This convex polyhedron is topologically similar to the concave stellated octahedron. They have the same face connectivity, but the vertices are in different relative distances from the center.

How to Calculate Edge length of octahedron of Triakis Octahedron given inradius?

Edge length of octahedron of Triakis Octahedron given inradius calculator uses side_a = (Inradius)/(sqrt((5+2*sqrt(2))/34)) to calculate the Side A, The Edge length of octahedron of triakis octahedron given inradius formula is defined as a straight line coonecting two adjacent vertices of octahedron of triakis octahedron. Where, side_a = Edge length octahedron (a) of triakis octahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of octahedron of Triakis Octahedron given inradius using this online calculator? To use this online calculator for Edge length of octahedron of Triakis Octahedron given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Edge length of octahedron of Triakis Octahedron given inradius calculation can be explained with given input values -> 20.84022 = (10)/(sqrt((5+2*sqrt(2))/34)).

FAQ

What is Edge length of octahedron of Triakis Octahedron given inradius?
The Edge length of octahedron of triakis octahedron given inradius formula is defined as a straight line coonecting two adjacent vertices of octahedron of triakis octahedron. Where, side_a = Edge length octahedron (a) of triakis octahedron and is represented as Sa = (ri)/(sqrt((5+2*sqrt(2))/34)) or side_a = (Inradius)/(sqrt((5+2*sqrt(2))/34)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Edge length of octahedron of Triakis Octahedron given inradius?
The Edge length of octahedron of triakis octahedron given inradius formula is defined as a straight line coonecting two adjacent vertices of octahedron of triakis octahedron. Where, side_a = Edge length octahedron (a) of triakis octahedron is calculated using side_a = (Inradius)/(sqrt((5+2*sqrt(2))/34)). To calculate Edge length of octahedron of Triakis Octahedron given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Side A?
In this formula, Side A uses Inradius. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • side_a = (6*sqrt(23-16*sqrt(2)))/((2-sqrt(2))*Surface to Volume Ratio)
  • side_a = Side B/(2-sqrt(2))
  • side_a = sqrt(Surface Area/(6*sqrt(23-16*sqrt(2))))
  • side_a = ((Volume)/(2-sqrt(2)))^(1/3)
  • side_a = 2*Midradius
  • side_a = (Inradius)/(sqrt((5+2*sqrt(2))/34))
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