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Edge Length of Icosidodecahedron given Midsphere Radius 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 r m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

l_e - Edge Length of Icosidodecahedron?r_m - Midsphere Radius of Icosidodecahedron?

Edge Length of Icosidodecahedron given Midsphere Radius Example

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

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

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

9.7476 = \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

9.7476m = \frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

9.7476 = \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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Edge Length of Icosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e = 9.74759088698719m

LAST Step Rounding Answer

∴

l e = 9.7476m

Edge Length of Icosidodecahedron given Midsphere Radius 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

Midsphere Radius of Icosidodecahedron

Midsphere Radius of Icosidodecahedron is the radius of the sphere for which all the edges of the Icosidodecahedron 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 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 Surface to Volume Ratio

l e = \frac{6 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Edge Length of Icosidodecahedron given Midsphere Radius?

Edge Length of Icosidodecahedron given Midsphere Radius evaluator uses Edge Length of Icosidodecahedron = (2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))) to evaluate the Edge Length of Icosidodecahedron, Edge Length of Icosidodecahedron given Midsphere Radius formula is defined as the length of any edge of the Icosidodecahedron, and calculated using the midsphere radius of the Icosidodecahedron. Edge Length of Icosidodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosidodecahedron given Midsphere Radius

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

The formula of Edge Length of Icosidodecahedron given Midsphere Radius is expressed as Edge Length of Icosidodecahedron = (2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))). Here is an example- 9.747591 = (2*15)/(sqrt(5+(2*sqrt(5)))).

How to calculate Edge Length of Icosidodecahedron given Midsphere Radius?

With Midsphere Radius of Icosidodecahedron (r_m) we can find Edge Length of Icosidodecahedron given Midsphere Radius using the formula - Edge Length of Icosidodecahedron = (2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*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 Midsphere Radius be negative?

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

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

Edge Length of Icosidodecahedron 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 Icosidodecahedron given Midsphere Radius can be measured.

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