Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius Calculator

✖Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.ⓘ Insphere Radius of Deltoidal Hexecontahedron [r_i]

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✖Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.ⓘ Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius [TSA]

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Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^2
TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*r_i)/(3*sqrt((135+(59*sqrt(5)))/205)))^2
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

Total Surface Area of Deltoidal Hexecontahedron - (Measured in Square Meter) - Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.
Insphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Deltoidal Hexecontahedron: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*r_i)/(3*sqrt((135+(59*sqrt(5)))/205)))^2 --> 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*17)/(3*sqrt((135+(59*sqrt(5)))/205)))^2

Evaluating ... ...

TSA = 3839.58698953745

STEP 3: Convert Result to Output's Unit

3839.58698953745 Square Meter --> No Conversion Required

FINAL ANSWER

3839.58698953745 ≈ 3839.587 Square Meter <-- Total Surface Area of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Surface Area of Deltoidal Hexecontahedron Calculators

Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^2

Total Surface Area of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX Go Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)^2/((470+(156*sqrt(5)))/5)

Total Surface Area of Deltoidal Hexecontahedron given Short Edge

LaTeX Go Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^2

Total Surface Area of Deltoidal Hexecontahedron

LaTeX Go Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*Long Edge of Deltoidal Hexecontahedron^2

Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius Formula

LaTeX Go

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius?

Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius calculator uses Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^2 to calculate the Total Surface Area of Deltoidal Hexecontahedron, Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron. Total Surface Area of Deltoidal Hexecontahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (r_i) and hit the calculate button. Here is how the Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius calculation can be explained with given input values -> 3839.587 = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*17)/(3*sqrt((135+(59*sqrt(5)))/205)))^2.

FAQ

What is Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius?

Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron and is represented as TSA = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*r_i)/(3*sqrt((135+(59*sqrt(5)))/205)))^2 or Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^2. Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.

How to calculate Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius?

Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron is calculated using Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^2. To calculate Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius, you need Insphere Radius of Deltoidal Hexecontahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Deltoidal Hexecontahedron 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 Total Surface Area of Deltoidal Hexecontahedron?

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

Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*Long Edge of Deltoidal Hexecontahedron^2
Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^2
Total Surface Area of Deltoidal Hexecontahedron = 9/11*sqrt(10*(157+(31*sqrt(5))))*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^2

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