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

r_m - Midsphere Radius of Deltoidal Hexecontahedron?d_Symmetry - Symmetry Diagonal of Deltoidal Hexecontahedron?

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Example

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

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

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

17.3222 = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{11}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

17.3222m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{11m}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

17.3222 = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{11}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

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Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{11m}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Next Step Prepare to Evaluate

∴

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{11}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Next Step Evaluate

∴

r m = 17.322249389228m

LAST Step Rounding Answer

∴

r m = 17.3222m

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal 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

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 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 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}}}

Go Midsphere Radius of Deltoidal Hexecontahedron given Total Surface Area

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \sqrt{\frac{11 \cdot TSA}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

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

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

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

FAQs on Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

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

The formula of Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal is expressed as Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)). Here is an example- 17.32225 = 3/20*(5+(3*sqrt(5)))*11/(3*sqrt((5-sqrt(5))/20)).

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

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

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

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

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

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

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