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Circumradius of Icosidodecahedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(Surface to Volume Ratio*(45+17*sqrt(5))))/2)*(1+sqrt(5))
rc = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(RAV*(45+17*sqrt(5))))/2)*(1+sqrt(5))
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 = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(RAV*(45+17*sqrt(5))))/2)*(1+sqrt(5)) --> (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(0.5*(45+17*sqrt(5))))/2)*(1+sqrt(5))
Evaluating ... ...
rc = 21.2242188052286
STEP 3: Convert Result to Output's Unit
21.2242188052286 Meter --> No Conversion Required
FINAL ANSWER
21.2242188052286 Meter <-- Circumradius
(Calculation completed in 00.016 seconds)

5 Circumradius of Icosidodecahedron Calculators

Circumradius of Icosidodecahedron given surface to volume ratio
circumradius = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(Surface to Volume Ratio*(45+17*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Icosidodecahedron given surface area
circumradius = (sqrt(Surface Area/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5)) Go
Circumradius of Icosidodecahedron given midradius
circumradius = (((2*Midradius)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5)) Go
Circumradius of Icosidodecahedron given volume
circumradius = ((((6*Volume)/(45+(17*sqrt(5))))^(1/3))/2)*(1+sqrt(5)) Go
Circumradius of Icosidodecahedron
circumradius = (Side/2)*(1+sqrt(5)) Go

Circumradius of Icosidodecahedron given surface to volume ratio Formula

circumradius = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(Surface to Volume Ratio*(45+17*sqrt(5))))/2)*(1+sqrt(5))
rc = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(RAV*(45+17*sqrt(5))))/2)*(1+sqrt(5))

What is an icosidodecahedron ?

In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.

How to Calculate Circumradius of Icosidodecahedron given surface to volume ratio?

Circumradius of Icosidodecahedron given surface to volume ratio calculator uses circumradius = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(Surface to Volume Ratio*(45+17*sqrt(5))))/2)*(1+sqrt(5)) to calculate the Circumradius, Circumradius of Icosidodecahedron given surface to volume ratio formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= icosidodecahedron edge (a). Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Icosidodecahedron given surface to volume ratio using this online calculator? To use this online calculator for Circumradius of Icosidodecahedron given surface to volume ratio, enter Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Circumradius of Icosidodecahedron given surface to volume ratio calculation can be explained with given input values -> 21.22422 = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(0.5*(45+17*sqrt(5))))/2)*(1+sqrt(5)).

FAQ

What is Circumradius of Icosidodecahedron given surface to volume ratio?
Circumradius of Icosidodecahedron given surface to volume ratio formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= icosidodecahedron edge (a) and is represented as rc = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(RAV*(45+17*sqrt(5))))/2)*(1+sqrt(5)) or circumradius = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(Surface to Volume Ratio*(45+17*sqrt(5))))/2)*(1+sqrt(5)). Surface to Volume Ratio is fraction of surface to volume.
How to calculate Circumradius of Icosidodecahedron given surface to volume ratio?
Circumradius of Icosidodecahedron given surface to volume ratio formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= icosidodecahedron edge (a) is calculated using circumradius = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(Surface to Volume Ratio*(45+17*sqrt(5))))/2)*(1+sqrt(5)). To calculate Circumradius of Icosidodecahedron 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 5 other way(s) to calculate the same, which is/are as follows -
  • circumradius = (Side/2)*(1+sqrt(5))
  • circumradius = (sqrt(Surface Area/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5))
  • circumradius = ((((6*Volume)/(45+(17*sqrt(5))))^(1/3))/2)*(1+sqrt(5))
  • circumradius = (((2*Midradius)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5))
  • circumradius = (((6*(5*sqrt(3)+(3*(sqrt(25)+(10*sqrt(5))))))/(Surface to Volume Ratio*(45+17*sqrt(5))))/2)*(1+sqrt(5))
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