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Circumradius of Icosidodecahedron given midradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (((2*Midradius)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5))
rc = (((2*rm)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5))
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)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5)) --> (((2*13)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5))
Evaluating ... ...
rc = 13.6690089150975
STEP 3: Convert Result to Output's Unit
13.6690089150975 Meter --> No Conversion Required
FINAL ANSWER
13.6690089150975 Meter <-- Circumradius
(Calculation completed in 00.000 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 midradius Formula

circumradius = (((2*Midradius)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5))
rc = (((2*rm)/(sqrt(5+(2*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 midradius?

Circumradius of Icosidodecahedron given midradius calculator uses circumradius = (((2*Midradius)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5)) to calculate the Circumradius, Circumradius of Icosidodecahedron given midradius 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 midradius using this online calculator? To use this online calculator for Circumradius of Icosidodecahedron given midradius, enter Midradius (rm) and hit the calculate button. Here is how the Circumradius of Icosidodecahedron given midradius calculation can be explained with given input values -> 13.66901 = (((2*13)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5)).

FAQ

What is Circumradius of Icosidodecahedron given midradius?
Circumradius of Icosidodecahedron given midradius 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 = (((2*rm)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5)) or circumradius = (((2*Midradius)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5)). Midradius is the radius of sphere which is in between insphere and circumsphere.
How to calculate Circumradius of Icosidodecahedron given midradius?
Circumradius of Icosidodecahedron given midradius 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 = (((2*Midradius)/(sqrt(5+(2*sqrt(5)))))/2)*(1+sqrt(5)). To calculate Circumradius of Icosidodecahedron 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/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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