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Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius Formula

GoTotal Surface Area of Deltoidal Hexecontahedron Formula

GoTotal Surface Area of Deltoidal Hexecontahedron given Short Edge Formula

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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. Check FAQs

TSA = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{2 \cdot r i}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{2}

TSA - Total Surface Area of Deltoidal Hexecontahedron?r_i - Insphere Radius of Deltoidal Hexecontahedron?

Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius Example

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Here is how the Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius equation looks like with Values.

Here is how the Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius equation looks like with Units.

Here is how the Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius equation looks like.

3839.587 = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{2}

3839.587m² = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{2}

3839.587 = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{2}

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Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius?

FIRST Step Consider the formula

TSA = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{2 \cdot r i}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{2}

Next Step Substitute values of Variables

∴

TSA = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{2}

Next Step Evaluate

∴

TSA = 3839.58698953745m²

LAST Step Rounding Answer

∴

TSA = 3839.587m²

Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius Formula Elements

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Functions

Total Surface Area of Deltoidal Hexecontahedron

Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron

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.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Hexecontahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Total Surface Area of Deltoidal Hexecontahedron

Go Total Surface Area of Deltoidal Hexecontahedron

TSA = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {l e(Long)}^{2}

Go Total Surface Area of Deltoidal Hexecontahedron given Short Edge

TSA = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})})}^{2}

Go Total Surface Area of Deltoidal Hexecontahedron given Symmetry Diagonal

TSA = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot {(\frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}})}^{2}

Go Total Surface Area of Deltoidal Hexecontahedron given NonSymmetry Diagonal

TSA = \frac{9}{11} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))} \cdot \frac{{(11 \cdot d Non Symmetry)}^{2}}{\frac{470 + (156 \cdot \sqrt{5})}{5}}

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

Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius evaluator 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 evaluate 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 evaluate Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (r_i) and hit the calculate button.

FAQs on Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius

What is the formula to find Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius?

The formula of Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius is expressed as 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. Here is an example- 3839.587 = 9/11*sqrt(10*(157+(31*sqrt(5))))*((2*17)/(3*sqrt((135+(59*sqrt(5)))/205)))^2.

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

With Insphere Radius of Deltoidal Hexecontahedron (r_i) we can find Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius using the formula - 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. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Deltoidal Hexecontahedron?

Here are the different ways to Calculate Total Surface Area of Deltoidal Hexecontahedron-

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

Can the Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius be negative?

No, the Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius?

Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Deltoidal Hexecontahedron given Insphere Radius can be measured.

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