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## Circumradius of Truncated Dodecahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
rc = (S/4)*(sqrt(74+(30*sqrt(5))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (S/4)*(sqrt(74+(30*sqrt(5)))) --> (9/4)*(sqrt(74+(30*sqrt(5))))
Evaluating ... ...
rc = 26.7250411427706
STEP 3: Convert Result to Output's Unit
26.7250411427706 Meter --> No Conversion Required
(Calculation completed in 00.000 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

### Circumradius of Truncated Dodecahedron Formula

rc = (S/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?

Circumradius of Truncated Dodecahedron calculator uses circumradius = (Side/4)*(sqrt(74+(30*sqrt(5)))) to calculate the Circumradius, Circumradius of Truncated 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 using this online calculator? To use this online calculator for Circumradius of Truncated Dodecahedron, enter Side (S) and hit the calculate button. Here is how the Circumradius of Truncated Dodecahedron calculation can be explained with given input values -> 26.72504 = (9/4)*(sqrt(74+(30*sqrt(5)))).

### FAQ

What is Circumradius of Truncated Dodecahedron?
Circumradius of Truncated 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 = (S/4)*(sqrt(74+(30*sqrt(5)))) or circumradius = (Side/4)*(sqrt(74+(30*sqrt(5)))). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Circumradius of Truncated Dodecahedron?
Circumradius of Truncated 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 = (Side/4)*(sqrt(74+(30*sqrt(5)))). To calculate Circumradius of Truncated Dodecahedron, you need Side (S). With our tool, you need to enter the respective value for Side 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 Side. We can use 6 other way(s) to calculate the same, which is/are as follows - 