Edge Length of Truncated Icosidodecahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Truncated Icosidodecahedron = (2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5))))
le = (2*rc)/(sqrt(31+(12*sqrt(5))))
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 Truncated Icosidodecahedron - (Measured in Meter) - Edge Length of Truncated Icosidodecahedron is the length of any edge of the Truncated Icosidodecahedron.
Circumsphere Radius of Truncated Icosidodecahedron - (Measured in Meter) - Circumsphere Radius of Truncated Icosidodecahedron is the radius of the sphere that contains the Truncated Icosidodecahedron in such a way that all the vertices are lying on the sphere.
STEP 1: Convert Input(s) to Base Unit
Circumsphere Radius of Truncated Icosidodecahedron: 38 Meter --> 38 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = (2*rc)/(sqrt(31+(12*sqrt(5)))) --> (2*38)/(sqrt(31+(12*sqrt(5))))
Evaluating ... ...
le = 9.99370265275897
STEP 3: Convert Result to Output's Unit
9.99370265275897 Meter --> No Conversion Required
FINAL ANSWER
9.99370265275897 9.993703 Meter <-- Edge Length of Truncated Icosidodecahedron
(Calculation completed in 00.004 seconds)

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5 Edge Length of Truncated Icosidodecahedron Calculators

Edge Length of Truncated Icosidodecahedron given Total Surface Area
Go Edge Length of Truncated Icosidodecahedron = sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))
Edge Length of Truncated Icosidodecahedron given Surface to Volume Ratio
Go Edge Length of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5))))
Edge Length of Truncated Icosidodecahedron given Circumsphere Radius
Go Edge Length of Truncated Icosidodecahedron = (2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5))))
Edge Length of Truncated Icosidodecahedron given Midsphere Radius
Go Edge Length of Truncated Icosidodecahedron = (2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5))))
Edge Length of Truncated Icosidodecahedron given Volume
Go Edge Length of Truncated Icosidodecahedron = (Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)

Edge Length of Truncated Icosidodecahedron given Circumsphere Radius Formula

Edge Length of Truncated Icosidodecahedron = (2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5))))
le = (2*rc)/(sqrt(31+(12*sqrt(5))))

What is a Truncated Icosidodecahedron?

In geometry, the Truncated Icosidodecahedron is an Archimedean solid, one of thirteen convex isogonal non-prismatic solids constructed by two or more types of regular polygon faces. It has 62 faces which include 30 squares, 20 regular hexagons and 12 regular decagons. Each vertex is identical in such a way that, one square, one hexagon and one decagon join at each vertex. It has the most edges and vertices of all Platonic and Archimedean solids, though the snub dodecahedron has more number of faces. Out of all vertex-transitive polyhedra, it occupies the largest percentage (89.80%) of the volume of a sphere in which it is inscribed, very narrowly beating the Snub Dodecahedron (89.63%) and Small Rhombicosidodecahedron (89.23%), and less narrowly beating the Truncated Icosahedron (86.74%).

How to Calculate Edge Length of Truncated Icosidodecahedron given Circumsphere Radius?

Edge Length of Truncated Icosidodecahedron given Circumsphere Radius calculator uses Edge Length of Truncated Icosidodecahedron = (2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))) to calculate the Edge Length of Truncated Icosidodecahedron, Edge Length of Truncated Icosidodecahedron given Circumsphere Radius formula is defined as the length of any edge of the Truncated Icosidodecahedron, and calculated using the circumsphere radius of the Truncated Icosidodecahedron. Edge Length of Truncated Icosidodecahedron is denoted by le symbol.

How to calculate Edge Length of Truncated Icosidodecahedron given Circumsphere Radius using this online calculator? To use this online calculator for Edge Length of Truncated Icosidodecahedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Icosidodecahedron (rc) and hit the calculate button. Here is how the Edge Length of Truncated Icosidodecahedron given Circumsphere Radius calculation can be explained with given input values -> 9.993703 = (2*38)/(sqrt(31+(12*sqrt(5)))).

FAQ

What is Edge Length of Truncated Icosidodecahedron given Circumsphere Radius?
Edge Length of Truncated Icosidodecahedron given Circumsphere Radius formula is defined as the length of any edge of the Truncated Icosidodecahedron, and calculated using the circumsphere radius of the Truncated Icosidodecahedron and is represented as le = (2*rc)/(sqrt(31+(12*sqrt(5)))) or Edge Length of Truncated Icosidodecahedron = (2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))). Circumsphere Radius of Truncated Icosidodecahedron is the radius of the sphere that contains the Truncated Icosidodecahedron in such a way that all the vertices are lying on the sphere.
How to calculate Edge Length of Truncated Icosidodecahedron given Circumsphere Radius?
Edge Length of Truncated Icosidodecahedron given Circumsphere Radius formula is defined as the length of any edge of the Truncated Icosidodecahedron, and calculated using the circumsphere radius of the Truncated Icosidodecahedron is calculated using Edge Length of Truncated Icosidodecahedron = (2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))). To calculate Edge Length of Truncated Icosidodecahedron given Circumsphere Radius, you need Circumsphere Radius of Truncated Icosidodecahedron (rc). With our tool, you need to enter the respective value for Circumsphere Radius of Truncated Icosidodecahedron 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 Truncated Icosidodecahedron?
In this formula, Edge Length of Truncated Icosidodecahedron uses Circumsphere Radius of Truncated Icosidodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Truncated Icosidodecahedron = sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))
  • Edge Length of Truncated Icosidodecahedron = (Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)
  • Edge Length of Truncated Icosidodecahedron = (2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5))))
  • Edge Length of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5))))
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