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Insphere Radius of Deltoidal Hexecontahedron given Short Edge Formula

GoInsphere Radius of Deltoidal Hexecontahedron Formula

GoInsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal 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{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})}

r_i - Insphere Radius of Deltoidal Hexecontahedron?l_e(Short) - Short Edge of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron given Short Edge Example

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

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

Here is how the Insphere Radius of Deltoidal Hexecontahedron given Short Edge equation looks like.

15.8088 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot 6}{3 \cdot (7 - \sqrt{5})}

15.8088m = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot 6m}{3 \cdot (7 - \sqrt{5})}

15.8088 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot 6}{3 \cdot (7 - \sqrt{5})}

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Insphere Radius of Deltoidal Hexecontahedron given Short Edge Solution

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

FIRST Step Consider the formula

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})}

Next Step Substitute values of Variables

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot 6m}{3 \cdot (7 - \sqrt{5})}

Next Step Prepare to Evaluate

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot 6}{3 \cdot (7 - \sqrt{5})}

Next Step Evaluate

∴

r i = 15.8087861293348m

LAST Step Rounding Answer

∴

r i = 15.8088m

Insphere Radius of Deltoidal Hexecontahedron given Short Edge 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

Short Edge of Deltoidal Hexecontahedron

Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge 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 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}}}

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 Short Edge?

Insphere Radius of Deltoidal Hexecontahedron given Short Edge evaluator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))) to evaluate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Short Edge 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 insphere radius of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Deltoidal Hexecontahedron given Short Edge

What is the formula to find Insphere Radius of Deltoidal Hexecontahedron given Short Edge?

The formula of Insphere Radius of Deltoidal Hexecontahedron given Short Edge is expressed as Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))). Here is an example- 15.80879 = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*6)/(3*(7-sqrt(5))).

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Short Edge?

With Short Edge of Deltoidal Hexecontahedron (l_e(Short)) we can find Insphere Radius of Deltoidal Hexecontahedron given Short Edge using the formula - Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-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)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
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 Short Edge be negative?

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

Which unit is used to measure Insphere Radius of Deltoidal Hexecontahedron given Short Edge?

Insphere Radius of Deltoidal Hexecontahedron given Short Edge 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 Short Edge can be measured.

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