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Circumradius of Icosidodecahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (sqrt(Surface Area/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5))
rc = (sqrt(SA/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (sqrt(SA/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5)) --> (sqrt(50/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5))
Evaluating ... ...
rc = 2.11346225920848
STEP 3: Convert Result to Output's Unit
2.11346225920848 Meter --> No Conversion Required
FINAL ANSWER
2.11346225920848 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 surface area Formula

circumradius = (sqrt(Surface Area/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5))
rc = (sqrt(SA/((5*sqrt(3))+(3*sqrt(25+(10*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 area?

Circumradius of Icosidodecahedron given surface area calculator uses circumradius = (sqrt(Surface Area/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5)) to calculate the Circumradius, Circumradius of Icosidodecahedron given surface area 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 area using this online calculator? To use this online calculator for Circumradius of Icosidodecahedron given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Circumradius of Icosidodecahedron given surface area calculation can be explained with given input values -> 2.113462 = (sqrt(50/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5)).

FAQ

What is Circumradius of Icosidodecahedron given surface area?
Circumradius of Icosidodecahedron given surface area 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 = (sqrt(SA/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5)) or circumradius = (sqrt(Surface Area/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5)). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
How to calculate Circumradius of Icosidodecahedron given surface area?
Circumradius of Icosidodecahedron given surface area 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 = (sqrt(Surface Area/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/2)*(1+sqrt(5)). To calculate Circumradius of Icosidodecahedron given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface Area 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 Area. 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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