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Edge Length of Rhombic Triacontahedron given Midsphere Radius Formula

GoEdge Length of Rhombic Triacontahedron given Total Surface Area Formula

GoEdge Length of Rhombic Triacontahedron given Volume Formula

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Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron. Check FAQs

l e = \frac{5 \cdot r m}{5 + \sqrt{5}}

l_e - Edge Length of Rhombic Triacontahedron?r_m - Midsphere Radius of Rhombic Triacontahedron?

Edge Length of Rhombic Triacontahedron given Midsphere Radius Example

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Here is how the Edge Length of Rhombic Triacontahedron given Midsphere Radius equation looks like with Values.

Here is how the Edge Length of Rhombic Triacontahedron given Midsphere Radius equation looks like with Units.

Here is how the Edge Length of Rhombic Triacontahedron given Midsphere Radius equation looks like.

10.3647 = \frac{5 \cdot 15}{5 + \sqrt{5}}

10.3647m = \frac{5 \cdot 15m}{5 + \sqrt{5}}

10.3647 = \frac{5 \cdot 15}{5 + \sqrt{5}}

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Edge Length of Rhombic Triacontahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Rhombic Triacontahedron given Midsphere Radius?

FIRST Step Consider the formula

l e = \frac{5 \cdot r m}{5 + \sqrt{5}}

Next Step Substitute values of Variables

∴

l e = \frac{5 \cdot 15m}{5 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l e = \frac{5 \cdot 15}{5 + \sqrt{5}}

Next Step Evaluate

∴

l e = 10.3647450843758m

LAST Step Rounding Answer

∴

l e = 10.3647m

Edge Length of Rhombic Triacontahedron given Midsphere Radius Formula Elements

Variables

Functions

Edge Length of Rhombic Triacontahedron

Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombic Triacontahedron

Midsphere Radius of Rhombic Triacontahedron

Midsphere Radius of Rhombic Triacontahedron is the radius of the sphere for which all the edges of the Rhombic Triacontahedron 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 Rhombic Triacontahedron

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 Edge Length of Rhombic Triacontahedron

Go Edge Length of Rhombic Triacontahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{12 \cdot \sqrt{5}}}

Go Edge Length of Rhombic Triacontahedron given Volume

l e = {(\frac{V}{4 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{1}{3}}

Go Edge Length of Rhombic Triacontahedron given Insphere Radius

l e = \frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}}

Go Edge Length of Rhombic Triacontahedron given Surface to Volume Ratio

l e = \frac{3 \cdot \sqrt{5}}{R A/V \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}

How to Evaluate Edge Length of Rhombic Triacontahedron given Midsphere Radius?

Edge Length of Rhombic Triacontahedron given Midsphere Radius evaluator uses Edge Length of Rhombic Triacontahedron = (5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)) to evaluate the Edge Length of Rhombic Triacontahedron, Edge Length of Rhombic Triacontahedron given Midsphere Radius formula is defined as the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron, calculated using midsphere radius of Rhombic Triacontahedron. Edge Length of Rhombic Triacontahedron is denoted by l_e symbol.

How to evaluate Edge Length of Rhombic Triacontahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Edge Length of Rhombic Triacontahedron given Midsphere Radius, enter Midsphere Radius of Rhombic Triacontahedron (r_m) and hit the calculate button.

FAQs on Edge Length of Rhombic Triacontahedron given Midsphere Radius

What is the formula to find Edge Length of Rhombic Triacontahedron given Midsphere Radius?

The formula of Edge Length of Rhombic Triacontahedron given Midsphere Radius is expressed as Edge Length of Rhombic Triacontahedron = (5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)). Here is an example- 10.36475 = (5*15)/(5+sqrt(5)).

How to calculate Edge Length of Rhombic Triacontahedron given Midsphere Radius?

With Midsphere Radius of Rhombic Triacontahedron (r_m) we can find Edge Length of Rhombic Triacontahedron given Midsphere Radius using the formula - Edge Length of Rhombic Triacontahedron = (5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Rhombic Triacontahedron?

Here are the different ways to Calculate Edge Length of Rhombic Triacontahedron-

Edge Length of Rhombic Triacontahedron=sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))
Edge Length of Rhombic Triacontahedron=((Volume of Rhombic Triacontahedron)/(4*sqrt(5+(2*sqrt(5)))))^(1/3)
Edge Length of Rhombic Triacontahedron=Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5)

Can the Edge Length of Rhombic Triacontahedron given Midsphere Radius be negative?

No, the Edge Length of Rhombic Triacontahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Rhombic Triacontahedron given Midsphere Radius?

Edge Length of Rhombic Triacontahedron 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 Edge Length of Rhombic Triacontahedron given Midsphere Radius can be measured.

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