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Edge length dodecahedron of Truncated Dodecahedron given circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
edge_length = (5*((4*Circumradius)/(sqrt(74+30*sqrt(5)))))/(sqrt(5))
a = (5*((4*rc)/(sqrt(74+30*sqrt(5)))))/(sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Circumradius - Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Circumradius: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (5*((4*rc)/(sqrt(74+30*sqrt(5)))))/(sqrt(5)) --> (5*((4*15)/(sqrt(74+30*sqrt(5)))))/(sqrt(5))
Evaluating ... ...
a = 11.2953680912903
STEP 3: Convert Result to Output's Unit
11.2953680912903 Meter -->1129.53680912903 Centimeter (Check conversion here)
FINAL ANSWER
1129.53680912903 Centimeter <-- Edge length
(Calculation completed in 00.000 seconds)

6 Edge length dodecahedron of Truncated Dodecahedron Calculators

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

Edge length dodecahedron of Truncated Dodecahedron given circumradius Formula

edge_length = (5*((4*Circumradius)/(sqrt(74+30*sqrt(5)))))/(sqrt(5))
a = (5*((4*rc)/(sqrt(74+30*sqrt(5)))))/(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 Edge length dodecahedron of Truncated Dodecahedron given circumradius?

Edge length dodecahedron of Truncated Dodecahedron given circumradius calculator uses edge_length = (5*((4*Circumradius)/(sqrt(74+30*sqrt(5)))))/(sqrt(5)) to calculate the Edge length, The Edge length dodecahedron of Truncated Dodecahedron given circumradius formula is defined as a straight line joining two adjacent vertices of icosidodecahedron. Where, a = truncated dodecahedron edge. Edge length and is denoted by a symbol.

How to calculate Edge length dodecahedron of Truncated Dodecahedron given circumradius using this online calculator? To use this online calculator for Edge length dodecahedron of Truncated Dodecahedron given circumradius, enter Circumradius (rc) and hit the calculate button. Here is how the Edge length dodecahedron of Truncated Dodecahedron given circumradius calculation can be explained with given input values -> 1129.537 = (5*((4*15)/(sqrt(74+30*sqrt(5)))))/(sqrt(5)).

FAQ

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