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Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius 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{20 \cdot r m}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

r_i - Insphere Radius of Deltoidal Hexecontahedron?r_m - Midsphere Radius of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius Example

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

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

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

17.5429 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{20 \cdot 18}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

17.5429m = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{20 \cdot 18m}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

17.5429 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{20 \cdot 18}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

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3D Geometry » fx Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius

Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{20 \cdot 18m}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{20 \cdot 18}{3 \cdot (5 + (3 \cdot \sqrt{5}))}

Next Step Evaluate

∴

r i = 17.5429397228071m

LAST Step Rounding Answer

∴

r i = 17.5429m

Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius 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

Midsphere Radius of Deltoidal Hexecontahedron

Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 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 Midsphere Radius?

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

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

FAQs on Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius

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

The formula of Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius is expressed as Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))). Here is an example- 17.54294 = 3/2*sqrt((135+(59*sqrt(5)))/205)*(20*18)/(3*(5+(3*sqrt(5)))).

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius?

With Midsphere Radius of Deltoidal Hexecontahedron (r_m) we can find Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius using the formula - Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*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 Midsphere Radius be negative?

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

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

Insphere Radius of Deltoidal Hexecontahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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