## Credits

St Joseph's College (SJC), Bengaluru
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STEP 0: Pre-Calculation Summary
Formula Used
rc = (((4*rm)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*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
rc = (((4*rm)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5)))) --> (((4*13)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5))))
Evaluating ... ...
rc = 13.188303664261
STEP 3: Convert Result to Output's Unit
13.188303664261 Meter --> No Conversion Required
(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 of Truncated Dodecahedron given volume
Circumradius of Truncated Dodecahedron given edge length dodecahedron

rc = (((4*rm)/(5+(3*sqrt(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

Circumradius of Truncated Dodecahedron given midradius calculator uses circumradius = (((4*Midradius)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5)))) to calculate the Circumradius, Circumradius of Truncated Dodecahedron given midradius 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 midradius using this online calculator? To use this online calculator for Circumradius of Truncated Dodecahedron given midradius, enter Midradius (rm) and hit the calculate button. Here is how the Circumradius of Truncated Dodecahedron given midradius calculation can be explained with given input values -> 13.1883 = (((4*13)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5)))).

### FAQ

Circumradius of Truncated Dodecahedron given midradius 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 = (((4*rm)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5)))) or circumradius = (((4*Midradius)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5)))). Midradius is the radius of sphere which is in between insphere and circumsphere.
Circumradius of Truncated Dodecahedron given midradius 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 = (((4*Midradius)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5)))). To calculate Circumradius of Truncated Dodecahedron 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 Circumradius?
In this formula, Circumradius uses Midradius. We can use 6 other way(s) to calculate the same, which is/are as follows -