Circumsphere Radius of Rhombicuboctahedron given Total Surface Area Calculator

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

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

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Circumsphere Radius of Rhombicuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
r_c = sqrt(5+(2*sqrt(2)))/2*sqrt((TSA)/(2*(9+sqrt(3))))
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 Rhombicuboctahedron - (Measured in Meter) - Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.
Total Surface Area of Rhombicuboctahedron - (Measured in Square Meter) - Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombicuboctahedron: 2100 Square Meter --> 2100 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(5+(2*sqrt(2)))/2*sqrt((TSA)/(2*(9+sqrt(3)))) --> sqrt(5+(2*sqrt(2)))/2*sqrt((2100)/(2*(9+sqrt(3))))

Evaluating ... ...

r_c = 13.8375929257378

STEP 3: Convert Result to Output's Unit

13.8375929257378 Meter --> No Conversion Required

FINAL ANSWER

13.8375929257378 ≈ 13.83759 Meter <-- Circumsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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< Circumsphere Radius of Rhombicuboctahedron Calculators

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2))))

Circumsphere Radius of Rhombicuboctahedron given Volume

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Circumsphere Radius of Rhombicuboctahedron

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

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area Formula

LaTeX Go

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
r_c = sqrt(5+(2*sqrt(2)))/2*sqrt((TSA)/(2*(9+sqrt(3))))

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

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

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area calculator uses Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))) to calculate the Circumsphere Radius of Rhombicuboctahedron, Circumsphere Radius of Rhombicuboctahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Rhombicuboctahedron. Circumsphere Radius of Rhombicuboctahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Rhombicuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Circumsphere Radius of Rhombicuboctahedron given Total Surface Area, enter Total Surface Area of Rhombicuboctahedron (TSA) and hit the calculate button. Here is how the Circumsphere Radius of Rhombicuboctahedron given Total Surface Area calculation can be explained with given input values -> 13.83759 = sqrt(5+(2*sqrt(2)))/2*sqrt((2100)/(2*(9+sqrt(3)))).

FAQ

What is Circumsphere Radius of Rhombicuboctahedron given Total Surface Area?

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Rhombicuboctahedron and is represented as r_c = sqrt(5+(2*sqrt(2)))/2*sqrt((TSA)/(2*(9+sqrt(3)))) or Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))). Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

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

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Rhombicuboctahedron is calculated using Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))). To calculate Circumsphere Radius of Rhombicuboctahedron given Total Surface Area, you need Total Surface Area of Rhombicuboctahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Rhombicuboctahedron 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 Rhombicuboctahedron?

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

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2))))

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