Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1000+ more calculators!

Circumradius of Great Stellated Dodecahedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio))
rc = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*RAV))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface to Volume Ratio - Surface to Volume Ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*RAV)) --> ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*0.5))
Evaluating ... ...
rc = 31.984225536035
STEP 3: Convert Result to Output's Unit
31.984225536035 Meter --> No Conversion Required
FINAL ANSWER
31.984225536035 Meter <-- Circumradius
(Calculation completed in 00.000 seconds)

7 Circumradius of Great Stellated Dodecahedron Calculators

Circumradius of Great Stellated Dodecahedron given surface to volume ratio
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio)) Go
Circumradius of Great Stellated Dodecahedron given surface area
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5)))))) Go
Circumradius of Great Stellated Dodecahedron given pyramid height
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((6*Height)/(sqrt(3)*(3+sqrt(5)))) Go
Circumradius of Great Stellated Dodecahedron given volume
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3)) Go
Circumradius of Great Stellated Dodecahedron given ridge length
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((2*Ridge Length 1)/(1+sqrt(5))) Go
Circumradius of Great Stellated Dodecahedron given pentagram chord
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(Chord Length/(2+sqrt(5))) Go
Circumradius of Great Stellated Dodecahedron given edge length
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*Side A Go

Circumradius of Great Stellated Dodecahedron given surface to volume ratio Formula

circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio))
rc = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*RAV))

What is Great Stellated Dodecahedron?

In geometry, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {​⁵⁄₂,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.

How to Calculate Circumradius of Great Stellated Dodecahedron given surface to volume ratio?

Circumradius of Great Stellated Dodecahedron given surface to volume ratio calculator uses circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio)) to calculate the Circumradius, Circumradius of Great Stellated Dodecahedron given surface to volume ratio formula is defined as a straight line connecting circumcenter and any point on circumsphere of Great Stellated Dodecahedron. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Great Stellated Dodecahedron given surface to volume ratio using this online calculator? To use this online calculator for Circumradius of Great Stellated Dodecahedron given surface to volume ratio, enter Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Circumradius of Great Stellated Dodecahedron given surface to volume ratio calculation can be explained with given input values -> 31.98423 = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*0.5)).

FAQ

What is Circumradius of Great Stellated Dodecahedron given surface to volume ratio?
Circumradius of Great Stellated Dodecahedron given surface to volume ratio formula is defined as a straight line connecting circumcenter and any point on circumsphere of Great Stellated Dodecahedron and is represented as rc = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*RAV)) or circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio)). Surface to Volume Ratio is fraction of surface to volume.
How to calculate Circumradius of Great Stellated Dodecahedron given surface to volume ratio?
Circumradius of Great Stellated Dodecahedron given surface to volume ratio formula is defined as a straight line connecting circumcenter and any point on circumsphere of Great Stellated Dodecahedron is calculated using circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio)). To calculate Circumradius of Great Stellated Dodecahedron given surface to volume ratio, you need Surface to Volume Ratio (RAV). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*Side A
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((2*Ridge Length 1)/(1+sqrt(5)))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(Chord Length/(2+sqrt(5)))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((6*Height)/(sqrt(3)*(3+sqrt(5))))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5))))))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio))
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!