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Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal 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 \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

r_i - Insphere Radius of Deltoidal Hexecontahedron?d_Symmetry - Symmetry Diagonal of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Example

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Here is how the Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal equation looks like with Values.

Here is how the Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal equation looks like with Units.

Here is how the Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal equation looks like.

16.8824 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

16.8824m = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11m}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

16.8824 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

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Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Solution

Follow our step by step solution on how to calculate Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?

FIRST Step Consider the formula

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}}}

Next Step Substitute values of Variables

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11m}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Next Step Prepare to Evaluate

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Next Step Evaluate

∴

r i = 16.8823987165922m

LAST Step Rounding Answer

∴

r i = 16.8824m

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal 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

Symmetry Diagonal of Deltoidal Hexecontahedron

Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.

Symbol: d_Symmetry

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Symmetry Diagonal 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 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}}}

Go Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area

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}))}}}

How to Evaluate Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal evaluator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)) to evaluate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal 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 symmetry diagonal of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal using this online evaluator? To use this online evaluator for Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal, enter Symmetry Diagonal of Deltoidal Hexecontahedron (d_Symmetry) and hit the calculate button.

FAQs on Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

What is the formula to find Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?

The formula of Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal is expressed as Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)). Here is an example- 16.8824 = 3/2*sqrt((135+(59*sqrt(5)))/205)*11/(3*sqrt((5-sqrt(5))/20)).

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?

With Symmetry Diagonal of Deltoidal Hexecontahedron (d_Symmetry) we can find Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal using the formula - Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)). 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)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Can the Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal be negative?

No, the Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal?

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal 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 Symmetry Diagonal can be measured.

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