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Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area Formula

GoInsphere Radius of Deltoidal Hexecontahedron Formula

GoInsphere Radius of Deltoidal Hexecontahedron given Short Edge Formula

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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. Check FAQs

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

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

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area Example

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

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

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

17.1332 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \sqrt{\frac{11 \cdot 3900}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

17.1332m = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \sqrt{\frac{11 \cdot 3900m²}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

17.1332 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \sqrt{\frac{11 \cdot 3900}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

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Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \sqrt{\frac{11 \cdot 3900m²}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

Next Step Prepare to Evaluate

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \sqrt{\frac{11 \cdot 3900}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

Next Step Evaluate

∴

r i = 17.1332191199565m

LAST Step Rounding Answer

∴

r i = 17.1332m

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area Formula Elements

Variables

Functions

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

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

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 Insphere Radius of Deltoidal Hexecontahedron

Go Insphere Radius of Deltoidal Hexecontahedron

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot l e(Long)

Go Insphere Radius of Deltoidal Hexecontahedron given Short Edge

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})}

Go Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

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

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area evaluator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))) to evaluate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using total surface area of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area

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

The formula of Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area is expressed as Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))). Here is an example- 17.13322 = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*3900)/(9*sqrt(10*(157+(31*sqrt(5)))))).

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

With Total Surface Area of Deltoidal Hexecontahedron (TSA) we can find Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area using the formula - Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Deltoidal Hexecontahedron?

Here are the different ways to Calculate Insphere Radius of Deltoidal Hexecontahedron-

Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron
Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

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

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

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

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

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