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Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius Formula

GoMidsphere Radius of Rhombicosidodecahedron Formula

GoMidsphere Radius of Rhombicosidodecahedron given Total Surface Area 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 = \sqrt{10 + (4 \cdot \sqrt{5})} \cdot \frac{r c}{\sqrt{11 + (4 \cdot \sqrt{5})}}

r_m - Midsphere Radius of Rhombicosidodecahedron?r_c - Circumsphere Radius of Rhombicosidodecahedron?

Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius Example

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

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

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

21.4414 = \sqrt{10 + (4 \cdot \sqrt{5})} \cdot \frac{22}{\sqrt{11 + (4 \cdot \sqrt{5})}}

21.4414m = \sqrt{10 + (4 \cdot \sqrt{5})} \cdot \frac{22m}{\sqrt{11 + (4 \cdot \sqrt{5})}}

21.4414 = \sqrt{10 + (4 \cdot \sqrt{5})} \cdot \frac{22}{\sqrt{11 + (4 \cdot \sqrt{5})}}

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Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \sqrt{10 + (4 \cdot \sqrt{5})} \cdot \frac{22m}{\sqrt{11 + (4 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

r m = \sqrt{10 + (4 \cdot \sqrt{5})} \cdot \frac{22}{\sqrt{11 + (4 \cdot \sqrt{5})}}

Next Step Evaluate

∴

r m = 21.4413707723197m

LAST Step Rounding Answer

∴

r m = 21.4414m

Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius 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

Circumsphere Radius of Rhombicosidodecahedron

Circumsphere Radius of Rhombicosidodecahedron is the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius 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

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

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 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 given Circumsphere Radius?

Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius evaluator uses Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))*Circumsphere Radius of Rhombicosidodecahedron/(sqrt(11+(4*sqrt(5)))) to evaluate the Midsphere Radius of Rhombicosidodecahedron, Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere, and calculated using the circumsphere radius of the Rhombicosidodecahedron. Midsphere Radius of Rhombicosidodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius

What is the formula to find Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius?

The formula of Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius is expressed as Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))*Circumsphere Radius of Rhombicosidodecahedron/(sqrt(11+(4*sqrt(5)))). Here is an example- 21.44137 = sqrt(10+(4*sqrt(5)))*22/(sqrt(11+(4*sqrt(5)))).

How to calculate Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius?

With Circumsphere Radius of Rhombicosidodecahedron (r_c) we can find Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius using the formula - Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))*Circumsphere Radius of Rhombicosidodecahedron/(sqrt(11+(4*sqrt(5)))). This formula also uses Square Root Function 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*Edge Length 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)

Can the Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius be negative?

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

Which unit is used to measure Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius?

Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius 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 given Circumsphere Radius can be measured.

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