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Edge length of icosahedron of Triakis Icosahedron given midradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (4*Midradius)/(1+sqrt(5))
Sa = (4*rm)/(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Midradius - Midradius is the radius of sphere which is in between insphere and circumsphere. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Midradius: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = (4*rm)/(1+sqrt(5)) --> (4*13)/(1+sqrt(5))
Evaluating ... ...
Sa = 16.0688837074973
STEP 3: Convert Result to Output's Unit
16.0688837074973 Meter --> No Conversion Required
FINAL ANSWER
16.0688837074973 Meter <-- Side A
(Calculation completed in 00.000 seconds)

6 Edge length of icosahedron of Triakis Icosahedron Calculators

Edge length of icosahedron of Triakis Icosahedron given surface to volume ratio
side_a = (12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio) Go
Edge length of icosahedron of Triakis Icosahedron given surface area
side_a = sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5)))))) Go
Edge length of icosahedron of Triakis Icosahedron given inradius
side_a = (4*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61)) Go
Edge length of icosahedron of Triakis Icosahedron given volume
side_a = ((44*Volume)/(5*(5+(7*sqrt(5)))))^(1/3) Go
Edge length of icosahedron of Triakis Icosahedron given midradius
side_a = (4*Midradius)/(1+sqrt(5)) Go
Edge length of icosahedron of Triakis Icosahedron given edge length of pyramid
side_a = (22*Side B)/(15-sqrt(5)) Go

Edge length of icosahedron of Triakis Icosahedron given midradius Formula

side_a = (4*Midradius)/(1+sqrt(5))
Sa = (4*rm)/(1+sqrt(5))

What is Triakis Icosahedron?

The triakis icosahedron is a three-dimensional polyhedron created from the dual of the truncated dodecahedron. Because of this, it shares the same full icosahedral symmetry group as the dodecahedron and the truncated dodecahedron. It can also be constructed by adding short triangular pyramids onto the faces of an icosahedron.

How to Calculate Edge length of icosahedron of Triakis Icosahedron given midradius?

Edge length of icosahedron of Triakis Icosahedron given midradius calculator uses side_a = (4*Midradius)/(1+sqrt(5)) to calculate the Side A, Edge length of icosahedron of Triakis Icosahedron given midradius formula is defined as a straight line joining two adjacent vertices of icosahedron of Triakis Icosahedron. Where, side_a = Edge length of icosahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of icosahedron of Triakis Icosahedron given midradius using this online calculator? To use this online calculator for Edge length of icosahedron of Triakis Icosahedron given midradius, enter Midradius (rm) and hit the calculate button. Here is how the Edge length of icosahedron of Triakis Icosahedron given midradius calculation can be explained with given input values -> 16.06888 = (4*13)/(1+sqrt(5)).

FAQ

What is Edge length of icosahedron of Triakis Icosahedron given midradius?
Edge length of icosahedron of Triakis Icosahedron given midradius formula is defined as a straight line joining two adjacent vertices of icosahedron of Triakis Icosahedron. Where, side_a = Edge length of icosahedron and is represented as Sa = (4*rm)/(1+sqrt(5)) or side_a = (4*Midradius)/(1+sqrt(5)). Midradius is the radius of sphere which is in between insphere and circumsphere.
How to calculate Edge length of icosahedron of Triakis Icosahedron given midradius?
Edge length of icosahedron of Triakis Icosahedron given midradius formula is defined as a straight line joining two adjacent vertices of icosahedron of Triakis Icosahedron. Where, side_a = Edge length of icosahedron is calculated using side_a = (4*Midradius)/(1+sqrt(5)). To calculate Edge length of icosahedron of Triakis Icosahedron given midradius, you need Midradius (rm). With our tool, you need to enter the respective value for Midradius 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 Midradius. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • side_a = (22*Side B)/(15-sqrt(5))
  • side_a = sqrt((11*Surface Area)/(15*(sqrt(109-(30*sqrt(5))))))
  • side_a = ((44*Volume)/(5*(5+(7*sqrt(5)))))^(1/3)
  • side_a = (4*Midradius)/(1+sqrt(5))
  • side_a = (4*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61))
  • side_a = (12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio)
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