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Edge length of icosahedron of Triakis Icosahedron given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (4*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61))
Sa = (4*ri)/(sqrt((10*(33+(13*sqrt(5))))/61))
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 = (4*ri)/(sqrt((10*(33+(13*sqrt(5))))/61)) --> (4*10)/(sqrt((10*(33+(13*sqrt(5))))/61))
Evaluating ... ...
Sa = 12.5397229514894
STEP 3: Convert Result to Output's Unit
12.5397229514894 Meter --> No Conversion Required
FINAL ANSWER
12.5397229514894 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 inradius Formula

side_a = (4*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61))
Sa = (4*ri)/(sqrt((10*(33+(13*sqrt(5))))/61))

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 inradius?

Edge length of icosahedron of Triakis Icosahedron given inradius calculator uses side_a = (4*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61)) to calculate the Side A, Edge length of icosahedron of Triakis Icosahedron given inradius 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 inradius using this online calculator? To use this online calculator for Edge length of icosahedron of Triakis Icosahedron given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Edge length of icosahedron of Triakis Icosahedron given inradius calculation can be explained with given input values -> 12.53972 = (4*10)/(sqrt((10*(33+(13*sqrt(5))))/61)).

FAQ

What is Edge length of icosahedron of Triakis Icosahedron given inradius?
Edge length of icosahedron of Triakis Icosahedron given inradius 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*ri)/(sqrt((10*(33+(13*sqrt(5))))/61)) or side_a = (4*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Edge length of icosahedron of Triakis Icosahedron given inradius?
Edge length of icosahedron of Triakis Icosahedron given inradius 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*Inradius)/(sqrt((10*(33+(13*sqrt(5))))/61)). To calculate Edge length of icosahedron of Triakis Icosahedron 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 = (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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