FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Short Edge of Deltoidal Hexecontahedron given Insphere Radius Formula

GoShort Edge of Deltoidal Hexecontahedron Formula

GoShort Edge of Deltoidal Hexecontahedron given Symmetry Diagonal Formula

Fx Copy

LaTeX Copy

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

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

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

Short Edge of Deltoidal Hexecontahedron given Insphere Radius Example

With values

With units

Only example

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

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

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

6.4521 = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

6.4521m = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

6.4521 = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Short Edge of Deltoidal Hexecontahedron given Insphere Radius

Short Edge of Deltoidal Hexecontahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Prepare to Evaluate

∴

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}

Next Step Evaluate

∴

l e(Short) = 6.45210828747493m

LAST Step Rounding Answer

∴

l e(Short) = 6.4521m

Short Edge of Deltoidal Hexecontahedron given Insphere Radius Formula Elements

Variables

Functions

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

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 Short Edge of Deltoidal Hexecontahedron

Go Short Edge of Deltoidal Hexecontahedron

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot l e(Long)

Go Short Edge of Deltoidal Hexecontahedron given Symmetry Diagonal

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Short Edge of Deltoidal Hexecontahedron given NonSymmetry Diagonal

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

Go Short Edge of Deltoidal Hexecontahedron given Total Surface Area

l e(Short) = \frac{3}{22} \cdot (7 - \sqrt{5}) \cdot \sqrt{\frac{11 \cdot TSA}{9 \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}}

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

Short Edge of Deltoidal Hexecontahedron given Insphere Radius evaluator uses Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)) to evaluate the Short Edge of Deltoidal Hexecontahedron, Short Edge of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron. Short Edge of Deltoidal Hexecontahedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Deltoidal Hexecontahedron given Insphere Radius

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

The formula of Short Edge of Deltoidal Hexecontahedron given Insphere Radius is expressed as Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)). Here is an example- 6.452108 = 3/22*(7-sqrt(5))*(2*17)/(3*sqrt((135+(59*sqrt(5)))/205)).

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

With Insphere Radius of Deltoidal Hexecontahedron (r_i) we can find Short Edge of Deltoidal Hexecontahedron given Insphere Radius using the formula - Short Edge of Deltoidal Hexecontahedron = 3/22*(7-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 Short Edge of Deltoidal Hexecontahedron?

Here are the different ways to Calculate Short Edge of Deltoidal Hexecontahedron-

Short Edge of Deltoidal Hexecontahedron=3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron
Short Edge of Deltoidal Hexecontahedron=3/22*(7-sqrt(5))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
Short Edge of Deltoidal Hexecontahedron=3/22*(7-sqrt(5))*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/sqrt((470+(156*sqrt(5)))/5)

Can the Short Edge of Deltoidal Hexecontahedron given Insphere Radius be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit