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Midsphere Radius of Rhombicosidodecahedron Formula

GoMidsphere Radius of Rhombicosidodecahedron given Total Surface Area Formula

GoMidsphere Radius of Rhombicosidodecahedron given Volume Formula

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Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere. Check FAQs

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot l e

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

Midsphere Radius of Rhombicosidodecahedron Example

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Here is how the Midsphere Radius of Rhombicosidodecahedron equation looks like with Values.

Here is how the Midsphere Radius of Rhombicosidodecahedron equation looks like with Units.

Here is how the Midsphere Radius of Rhombicosidodecahedron equation looks like.

21.7625 = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot 10

21.7625m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot 10m

21.7625 = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot 10

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Midsphere Radius of Rhombicosidodecahedron Solution

Follow our step by step solution on how to calculate Midsphere Radius of Rhombicosidodecahedron?

FIRST Step Consider the formula

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot l e

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot 10

Next Step Evaluate

∴

r m = 21.7625089948282m

LAST Step Rounding Answer

∴

r m = 21.7625m

Midsphere Radius of Rhombicosidodecahedron Formula Elements

Variables

Functions

Midsphere Radius of Rhombicosidodecahedron

Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron 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 Rhombicosidodecahedron

Edge Length of Rhombicosidodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombicosidodecahedron

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 Rhombicosidodecahedron

Go Midsphere Radius of Rhombicosidodecahedron given Total Surface Area

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Midsphere Radius of Rhombicosidodecahedron given Volume

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius

r m = \sqrt{10 + (4 \cdot \sqrt{5})} \cdot \frac{r c}{\sqrt{11 + (4 \cdot \sqrt{5})}}

Go Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))}

How to Evaluate Midsphere Radius of Rhombicosidodecahedron?

Midsphere Radius of Rhombicosidodecahedron evaluator uses Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron to evaluate the Midsphere Radius of Rhombicosidodecahedron, Midsphere Radius of Rhombicosidodecahedron formula is defined as the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere. Midsphere Radius of Rhombicosidodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Rhombicosidodecahedron

What is the formula to find Midsphere Radius of Rhombicosidodecahedron?

The formula of Midsphere Radius of Rhombicosidodecahedron is expressed as Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron. Here is an example- 21.76251 = sqrt(10+(4*sqrt(5)))/2*10.

How to calculate Midsphere Radius of Rhombicosidodecahedron?

With Edge Length of Rhombicosidodecahedron (l_e) we can find Midsphere Radius of Rhombicosidodecahedron using the formula - Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Rhombicosidodecahedron?

Here are the different ways to Calculate Midsphere Radius of Rhombicosidodecahedron-

Midsphere Radius of Rhombicosidodecahedron=sqrt(10+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Midsphere Radius of Rhombicosidodecahedron=sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)
Midsphere Radius of Rhombicosidodecahedron=sqrt(10+(4*sqrt(5)))*Circumsphere Radius of Rhombicosidodecahedron/(sqrt(11+(4*sqrt(5))))

Can the Midsphere Radius of Rhombicosidodecahedron be negative?

No, the Midsphere Radius of Rhombicosidodecahedron, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Rhombicosidodecahedron?

Midsphere Radius of Rhombicosidodecahedron 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 Rhombicosidodecahedron can be measured.

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