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Edge Length of Icosidodecahedron given Pentagonal Face Diagonal Formula

GoEdge Length of Icosidodecahedron given Total Surface Area Formula

GoEdge Length of Icosidodecahedron given Volume Formula

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Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron. Check FAQs

l e = \frac{2 \cdot d Pentagon}{1 + \sqrt{5}}

l_e - Edge Length of Icosidodecahedron?d_Pentagon - Pentagonal Face Diagonal of Icosidodecahedron?

Edge Length of Icosidodecahedron given Pentagonal Face Diagonal Example

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Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Diagonal equation looks like with Values.

Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Diagonal equation looks like with Units.

Here is how the Edge Length of Icosidodecahedron given Pentagonal Face Diagonal equation looks like.

9.8885 = \frac{2 \cdot 16}{1 + \sqrt{5}}

9.8885m = \frac{2 \cdot 16m}{1 + \sqrt{5}}

9.8885 = \frac{2 \cdot 16}{1 + \sqrt{5}}

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Edge Length of Icosidodecahedron given Pentagonal Face Diagonal Solution

Follow our step by step solution on how to calculate Edge Length of Icosidodecahedron given Pentagonal Face Diagonal?

FIRST Step Consider the formula

l e = \frac{2 \cdot d Pentagon}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

l e = 9.88854381999832m

LAST Step Rounding Answer

∴

l e = 9.8885m

Edge Length of Icosidodecahedron given Pentagonal Face Diagonal Formula Elements

Variables

Functions

Edge Length of Icosidodecahedron

Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Icosidodecahedron

Pentagonal Face Diagonal of Icosidodecahedron

Pentagonal Face Diagonal of Icosidodecahedron is the distance between any pair of non adjacent vertices of any of the pentagonal faces of the Icosidodecahedron.

Symbol: d_Pentagon

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Diagonal of Icosidodecahedron

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 Icosidodecahedron

Go Edge Length of Icosidodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Edge Length of Icosidodecahedron given Volume

l e = {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Icosidodecahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{1 + \sqrt{5}}

Go Edge Length of Icosidodecahedron given Midsphere Radius

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

How to Evaluate Edge Length of Icosidodecahedron given Pentagonal Face Diagonal?

Edge Length of Icosidodecahedron given Pentagonal Face Diagonal evaluator uses Edge Length of Icosidodecahedron = (2*Pentagonal Face Diagonal of Icosidodecahedron)/(1+sqrt(5)) to evaluate the Edge Length of Icosidodecahedron, Edge Length of Icosidodecahedron given Pentagonal Face Diagonal formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the pentagonal face diagonal of the Icosidodecahedron. Edge Length of Icosidodecahedron is denoted by l_e symbol.

How to evaluate Edge Length of Icosidodecahedron given Pentagonal Face Diagonal using this online evaluator? To use this online evaluator for Edge Length of Icosidodecahedron given Pentagonal Face Diagonal, enter Pentagonal Face Diagonal of Icosidodecahedron (d_Pentagon) and hit the calculate button.

FAQs on Edge Length of Icosidodecahedron given Pentagonal Face Diagonal

What is the formula to find Edge Length of Icosidodecahedron given Pentagonal Face Diagonal?

The formula of Edge Length of Icosidodecahedron given Pentagonal Face Diagonal is expressed as Edge Length of Icosidodecahedron = (2*Pentagonal Face Diagonal of Icosidodecahedron)/(1+sqrt(5)). Here is an example- 9.888544 = (2*16)/(1+sqrt(5)).

How to calculate Edge Length of Icosidodecahedron given Pentagonal Face Diagonal?

With Pentagonal Face Diagonal of Icosidodecahedron (d_Pentagon) we can find Edge Length of Icosidodecahedron given Pentagonal Face Diagonal using the formula - Edge Length of Icosidodecahedron = (2*Pentagonal Face Diagonal of Icosidodecahedron)/(1+sqrt(5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Icosidodecahedron?

Here are the different ways to Calculate Edge Length of Icosidodecahedron-

Edge Length of Icosidodecahedron=sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Edge Length of Icosidodecahedron=((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)
Edge Length of Icosidodecahedron=(2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))

Can the Edge Length of Icosidodecahedron given Pentagonal Face Diagonal be negative?

No, the Edge Length of Icosidodecahedron given Pentagonal Face Diagonal, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Icosidodecahedron given Pentagonal Face Diagonal?

Edge Length of Icosidodecahedron given Pentagonal Face Diagonal 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 Icosidodecahedron given Pentagonal Face Diagonal can be measured.

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