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Circumradius of Truncated Dodecahedron given edge length dodecahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5))))
rc = (((sqrt(5)*a)/5)/4)*(sqrt(74+(30*sqrt(5))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Edge length - The Edge length is the length of the edge of the unit cell. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Edge length: 50 Centimeter --> 0.5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (((sqrt(5)*a)/5)/4)*(sqrt(74+(30*sqrt(5)))) --> (((sqrt(5)*0.5)/5)/4)*(sqrt(74+(30*sqrt(5))))
Evaluating ... ...
rc = 0.663988985519041
STEP 3: Convert Result to Output's Unit
0.663988985519041 Meter --> No Conversion Required
FINAL ANSWER
0.663988985519041 Meter <-- Circumradius
(Calculation completed in 00.015 seconds)

6 Circumradius of Truncated Dodecahedron Calculators

Circumradius of Truncated Dodecahedron given surface to volume ratio
circumradius = (((12*(sqrt(3)+(6*(sqrt(5)+(2*sqrt(5))))))/(Surface to Volume Ratio*((99+(47*sqrt(5))))))/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron given surface area
circumradius = ((sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))))/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron given volume
circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron given midradius
circumradius = (((4*Midradius)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron given edge length dodecahedron
circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron
circumradius = (Side/4)*(sqrt(74+(30*sqrt(5)))) Go

Circumradius of Truncated Dodecahedron given edge length dodecahedron Formula

circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5))))
rc = (((sqrt(5)*a)/5)/4)*(sqrt(74+(30*sqrt(5))))

What is a truncated dodecahedron?

In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. This polyhedron can be formed from a dodecahedron by truncating (cutting off) the corners so the pentagon faces become decagons and the corners become triangles . The truncated dodecahedron has five special orthogonal projections, centered, on a vertex, on two types of edges, and two types of faces: hexagonal and pentagonal

How to Calculate Circumradius of Truncated Dodecahedron given edge length dodecahedron?

Circumradius of Truncated Dodecahedron given edge length dodecahedron calculator uses circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5)))) to calculate the Circumradius, Circumradius of Truncated Dodecahedron given edge length dodecahedron formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= truncated dodecahedron edge (a). Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Truncated Dodecahedron given edge length dodecahedron using this online calculator? To use this online calculator for Circumradius of Truncated Dodecahedron given edge length dodecahedron, enter Edge length (a) and hit the calculate button. Here is how the Circumradius of Truncated Dodecahedron given edge length dodecahedron calculation can be explained with given input values -> 0.663989 = (((sqrt(5)*0.5)/5)/4)*(sqrt(74+(30*sqrt(5)))).

FAQ

What is Circumradius of Truncated Dodecahedron given edge length dodecahedron?
Circumradius of Truncated Dodecahedron given edge length dodecahedron formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= truncated dodecahedron edge (a) and is represented as rc = (((sqrt(5)*a)/5)/4)*(sqrt(74+(30*sqrt(5)))) or circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5)))). The Edge length is the length of the edge of the unit cell.
How to calculate Circumradius of Truncated Dodecahedron given edge length dodecahedron?
Circumradius of Truncated Dodecahedron given edge length dodecahedron formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= truncated dodecahedron edge (a) is calculated using circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5)))). To calculate Circumradius of Truncated Dodecahedron given edge length dodecahedron, you need Edge length (a). With our tool, you need to enter the respective value for Edge length 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 Circumradius?
In this formula, Circumradius uses Edge length. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • circumradius = (Side/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = ((sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))))/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = (((4*Midradius)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = (((12*(sqrt(3)+(6*(sqrt(5)+(2*sqrt(5))))))/(Surface to Volume Ratio*((99+(47*sqrt(5))))))/4)*(sqrt(74+(30*sqrt(5))))
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