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Circumsphere Radius of Rhombicosidodecahedron Formula

GoCircumsphere Radius of Rhombicosidodecahedron given Total Surface Area Formula

GoCircumsphere Radius of Rhombicosidodecahedron given Volume Formula

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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. Check FAQs

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot l e

r_c - Circumsphere Radius of Rhombicosidodecahedron?l_e - Edge Length of Rhombicosidodecahedron?

Circumsphere Radius of Rhombicosidodecahedron Example

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

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

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

22.3295 = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot 10

22.3295m = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot 10m

22.3295 = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot 10

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Circumsphere Radius of Rhombicosidodecahedron Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot l e

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot 10

Next Step Evaluate

∴

r c = 22.3295050941569m

LAST Step Rounding Answer

∴

r c = 22.3295m

Circumsphere Radius of Rhombicosidodecahedron Formula Elements

Variables

Functions

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

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 Circumsphere Radius of Rhombicosidodecahedron

Go Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Circumsphere Radius of Rhombicosidodecahedron given Volume

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius

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

Go Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio

r c = \frac{\sqrt{11 + (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 Circumsphere Radius of Rhombicosidodecahedron?

Circumsphere Radius of Rhombicosidodecahedron evaluator uses Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron to evaluate the Circumsphere Radius of Rhombicosidodecahedron, Circumsphere Radius of Rhombicosidodecahedron formula is defined as the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Rhombicosidodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Rhombicosidodecahedron

What is the formula to find Circumsphere Radius of Rhombicosidodecahedron?

The formula of Circumsphere Radius of Rhombicosidodecahedron is expressed as Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron. Here is an example- 22.32951 = sqrt(11+(4*sqrt(5)))/2*10.

How to calculate Circumsphere Radius of Rhombicosidodecahedron?

With Edge Length of Rhombicosidodecahedron (l_e) we can find Circumsphere Radius of Rhombicosidodecahedron using the formula - Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron. This formula also uses Square Root (sqrt) function(s).

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

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

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

Can the Circumsphere Radius of Rhombicosidodecahedron be negative?

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

Which unit is used to measure Circumsphere Radius of Rhombicosidodecahedron?

Circumsphere 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 Circumsphere Radius of Rhombicosidodecahedron can be measured.

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