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Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius Formula

GoMidsphere Radius of Deltoidal Hexecontahedron Formula

GoMidsphere Radius of Deltoidal Hexecontahedron given Short Edge Formula

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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. Check FAQs

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

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

Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius Example

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

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

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

17.4429 = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

17.4429m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

17.4429 = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

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Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Prepare to Evaluate

∴

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Evaluate

∴

r m = 17.4429146331831m

LAST Step Rounding Answer

∴

r m = 17.4429m

Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius Formula Elements

Variables

Functions

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

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 Midsphere Radius of Deltoidal Hexecontahedron

Go Midsphere Radius of Deltoidal Hexecontahedron

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot l e(Long)

Go Midsphere Radius of Deltoidal Hexecontahedron given Short Edge

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})}

Go Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Midsphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

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

Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius evaluator uses Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)) to evaluate the Midsphere Radius of Deltoidal Hexecontahedron, Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius formula is defined as radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using insphere radius of Deltoidal Hexecontahedron. Midsphere Radius of Deltoidal Hexecontahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius

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

The formula of Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius is expressed as Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)). Here is an example- 17.44291 = 3/20*(5+(3*sqrt(5)))*(2*17)/(3*sqrt((135+(59*sqrt(5)))/205)).

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

With Insphere Radius of Deltoidal Hexecontahedron (r_i) we can find Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius using the formula - Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Deltoidal Hexecontahedron=3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron
Midsphere Radius of Deltoidal Hexecontahedron=3/20*(5+(3*sqrt(5)))*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Midsphere Radius of Deltoidal Hexecontahedron=3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Can the Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius be negative?

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

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

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

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