Midsphere Radius of Rhombic Triacontahedron given Total Surface Area Calculator

✖Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.ⓘ Total Surface Area of Rhombic Triacontahedron [TSA]

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✖Midsphere Radius of Rhombic Triacontahedron is the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Rhombic Triacontahedron given Total Surface Area [r_m]

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Midsphere Radius of Rhombic Triacontahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5
r_m = sqrt(TSA/(12*sqrt(5)))*(5+sqrt(5))/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

Midsphere Radius of Rhombic Triacontahedron - (Measured in Meter) - Midsphere Radius of Rhombic Triacontahedron is the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere.
Total Surface Area of Rhombic Triacontahedron - (Measured in Square Meter) - Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombic Triacontahedron: 2700 Square Meter --> 2700 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(TSA/(12*sqrt(5)))*(5+sqrt(5))/5 --> sqrt(2700/(12*sqrt(5)))*(5+sqrt(5))/5

Evaluating ... ...

r_m = 14.51715091831

STEP 3: Convert Result to Output's Unit

14.51715091831 Meter --> No Conversion Required

FINAL ANSWER

14.51715091831 ≈ 14.51715 Meter <-- Midsphere Radius of Rhombic Triacontahedron

(Calculation completed in 00.009 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Midsphere Radius of Rhombic Triacontahedron Calculators

Midsphere Radius of Rhombic Triacontahedron given Insphere Radius

LaTeX Go Midsphere Radius of Rhombic Triacontahedron = (Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area

LaTeX Go Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5

Midsphere Radius of Rhombic Triacontahedron given Volume

LaTeX Go Midsphere Radius of Rhombic Triacontahedron = (Volume of Rhombic Triacontahedron/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5

Midsphere Radius of Rhombic Triacontahedron

LaTeX Go Midsphere Radius of Rhombic Triacontahedron = Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5))

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area Formula

LaTeX Go

Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5
r_m = sqrt(TSA/(12*sqrt(5)))*(5+sqrt(5))/5

What is Rhombic Triacontahedron?

In geometry, the Rhombic Triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron.

How to Calculate Midsphere Radius of Rhombic Triacontahedron given Total Surface Area?

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area calculator uses Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5 to calculate the Midsphere Radius of Rhombic Triacontahedron, Midsphere Radius of Rhombic Triacontahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere, calculated using total surface area of Rhombic Triacontahedron. Midsphere Radius of Rhombic Triacontahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombic Triacontahedron given Total Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Rhombic Triacontahedron given Total Surface Area, enter Total Surface Area of Rhombic Triacontahedron (TSA) and hit the calculate button. Here is how the Midsphere Radius of Rhombic Triacontahedron given Total Surface Area calculation can be explained with given input values -> 14.51715 = sqrt(2700/(12*sqrt(5)))*(5+sqrt(5))/5.

FAQ

What is Midsphere Radius of Rhombic Triacontahedron given Total Surface Area?

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere, calculated using total surface area of Rhombic Triacontahedron and is represented as r_m = sqrt(TSA/(12*sqrt(5)))*(5+sqrt(5))/5 or Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5. Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.

How to calculate Midsphere Radius of Rhombic Triacontahedron given Total Surface Area?

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere, calculated using total surface area of Rhombic Triacontahedron is calculated using Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5. To calculate Midsphere Radius of Rhombic Triacontahedron given Total Surface Area, you need Total Surface Area of Rhombic Triacontahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Rhombic Triacontahedron 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 Midsphere Radius of Rhombic Triacontahedron?

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

Midsphere Radius of Rhombic Triacontahedron = Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5))
Midsphere Radius of Rhombic Triacontahedron = (Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5
Midsphere Radius of Rhombic Triacontahedron = (Volume of Rhombic Triacontahedron/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5

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