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Circumradius of Snub Dodecahedron given midradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = ((2*Midradius)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
rc = ((2*rm)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
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 = ((2*rm)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2 --> ((2*13)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
Evaluating ... ...
rc = 13.3331645378551
STEP 3: Convert Result to Output's Unit
13.3331645378551 Meter --> No Conversion Required
FINAL ANSWER
13.3331645378551 Meter <-- Circumradius
(Calculation completed in 00.000 seconds)

5 Circumradius of Snub Dodecahedron Calculators

Circumradius of Snub Dodecahedron given surface to volume ratio
circumradius = (((6*sqrt(3-1.7155^2)^(3))*((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio*((12*(1.7155^2)*((3*1.6180)+1))-(0.9431*((36*1.6180)+7))-((53*1.6180)+6))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2 Go
Circumradius of Snub Dodecahedron given surface area
circumradius = (sqrt(Surface Area/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2 Go
Circumradius of Snub Dodecahedron given volume
circumradius = (((Volume*(6*sqrt(3-1.7155^2)^(3)))/(((12*(1.7155^2)*((3*1.6180)+1))-(1.7155*((36*1.6180)+7))-((53*1.6180)+6))))^(1/3))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2 Go
Circumradius of Snub Dodecahedron given midradius
circumradius = ((2*Midradius)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2 Go
Circumradius of Snub Dodecahedron
circumradius = Side*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2 Go

Circumradius of Snub Dodecahedron given midradius Formula

circumradius = ((2*Midradius)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
rc = ((2*rm)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2

What is a snub dodecahedron?

In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces. The snub dodecahedron has 92 faces (the most of the 13 Archimedean solids): 12 are pentagons and the other 80 are equilateral triangles. It also has 150 edges, and 60 vertices. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. The union of both forms is a compound of two snub dodecahedra, and the convex hull of both forms is a truncated icosidodecahedron.

How to Calculate Circumradius of Snub Dodecahedron given midradius?

Circumradius of Snub Dodecahedron given midradius calculator uses circumradius = ((2*Midradius)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2 to calculate the Circumradius, Circumradius of Snub Dodecahedron given midradius formula is defined as a straight line connecting center and any point of circumsphere of snub dodecahedron ,Where side= snub dodecahedron edge (a). Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Snub Dodecahedron given midradius using this online calculator? To use this online calculator for Circumradius of Snub Dodecahedron given midradius, enter Midradius (rm) and hit the calculate button. Here is how the Circumradius of Snub Dodecahedron given midradius calculation can be explained with given input values -> 13.33316 = ((2*13)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2.

FAQ

What is Circumradius of Snub Dodecahedron given midradius?
Circumradius of Snub Dodecahedron given midradius formula is defined as a straight line connecting center and any point of circumsphere of snub dodecahedron ,Where side= snub dodecahedron edge (a) and is represented as rc = ((2*rm)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2 or circumradius = ((2*Midradius)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2. Midradius is the radius of sphere which is in between insphere and circumsphere.
How to calculate Circumradius of Snub Dodecahedron given midradius?
Circumradius of Snub Dodecahedron given midradius formula is defined as a straight line connecting center and any point of circumsphere of snub dodecahedron ,Where side= snub dodecahedron edge (a) is calculated using circumradius = ((2*Midradius)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2. To calculate Circumradius of Snub 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 5 other way(s) to calculate the same, which is/are as follows -
  • circumradius = Side*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
  • circumradius = (sqrt(Surface Area/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
  • circumradius = (((Volume*(6*sqrt(3-1.7155^2)^(3)))/(((12*(1.7155^2)*((3*1.6180)+1))-(1.7155*((36*1.6180)+7))-((53*1.6180)+6))))^(1/3))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
  • circumradius = ((2*Midradius)/(1.6180*(sqrt((1.8392*(1.8392+1.6180))+1))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
  • circumradius = (((6*sqrt(3-1.7155^2)^(3))*((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio*((12*(1.7155^2)*((3*1.6180)+1))-(0.9431*((36*1.6180)+7))-((53*1.6180)+6))))*1.6180*(sqrt((1.8392*(1.8392+1.6180))+(3-1.6180)))/2
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