Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area Calculator

✖Total Surface Area of Rhombicosidodecahedron is the total quantity of plane enclosed by the entire surface of the of the Rhombicosidodecahedron.ⓘ Total Surface Area of Rhombicosidodecahedron [TSA]

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✖Circumsphere Radius of Rhombicosidodecahedron is the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area [r_c]

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Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
r_c = sqrt(11+(4*sqrt(5)))/2*sqrt(TSA/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circumsphere Radius of Rhombicosidodecahedron - (Measured in Meter) - Circumsphere Radius of Rhombicosidodecahedron is the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere.
Total Surface Area of Rhombicosidodecahedron - (Measured in Square Meter) - Total Surface Area of Rhombicosidodecahedron is the total quantity of plane enclosed by the entire surface of the of the Rhombicosidodecahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombicosidodecahedron: 5900 Square Meter --> 5900 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(11+(4*sqrt(5)))/2*sqrt(TSA/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))) --> sqrt(11+(4*sqrt(5)))/2*sqrt(5900/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))

Evaluating ... ...

r_c = 22.2718272614068

STEP 3: Convert Result to Output's Unit

22.2718272614068 Meter --> No Conversion Required

FINAL ANSWER

22.2718272614068 ≈ 22.27183 Meter <-- Circumsphere Radius of Rhombicosidodecahedron

(Calculation completed in 00.004 seconds)

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< Circumsphere Radius of Rhombicosidodecahedron Calculators

Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))

Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius

LaTeX Go Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))*(Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5))))

Circumsphere Radius of Rhombicosidodecahedron given Volume

LaTeX Go Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)

Circumsphere Radius of Rhombicosidodecahedron

LaTeX Go Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron

Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area Formula

LaTeX Go

What is a Rhombicosidodecahedron?

In geometry, the Rhombicosidodecahedron, is an Archimedean solid, one of the 13 convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges. If you expand an icosahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and do the same to its dual dodecahedron, and patch the square holes in the result, you get a Rhombicosidodecahedron. Therefore, it has the same number of triangles as an icosahedron and the same number of pentagons as a dodecahedron, with a square for each edge of either.

How to Calculate Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area?

Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area calculator uses Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))) to calculate the Circumsphere Radius of Rhombicosidodecahedron, Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Rhombicosidodecahedron. Circumsphere Radius of Rhombicosidodecahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area using this online calculator? To use this online calculator for Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area, enter Total Surface Area of Rhombicosidodecahedron (TSA) and hit the calculate button. Here is how the Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area calculation can be explained with given input values -> 22.27183 = sqrt(11+(4*sqrt(5)))/2*sqrt(5900/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))).

FAQ

What is Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area?

Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Rhombicosidodecahedron and is represented as r_c = sqrt(11+(4*sqrt(5)))/2*sqrt(TSA/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))) or Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). Total Surface Area of Rhombicosidodecahedron is the total quantity of plane enclosed by the entire surface of the of the Rhombicosidodecahedron.

How to calculate Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area?

Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Rhombicosidodecahedron is calculated using Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). To calculate Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area, you need Total Surface Area of Rhombicosidodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Rhombicosidodecahedron 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 Circumsphere Radius of Rhombicosidodecahedron?

In this formula, Circumsphere Radius of Rhombicosidodecahedron uses Total Surface Area of Rhombicosidodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron
Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)
Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))*(Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5))))

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