FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius Formula

GoCircumsphere Radius of Rhombicosidodecahedron Formula

GoCircumsphere Radius of Rhombicosidodecahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

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

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

Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius Example

With values

With units

Only example

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

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

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

21.5471 = \sqrt{11 + (4 \cdot \sqrt{5})} \cdot \frac{21}{\sqrt{10 + (4 \cdot \sqrt{5})}}

21.5471m = \sqrt{11 + (4 \cdot \sqrt{5})} \cdot \frac{21m}{\sqrt{10 + (4 \cdot \sqrt{5})}}

21.5471 = \sqrt{11 + (4 \cdot \sqrt{5})} \cdot \frac{21}{\sqrt{10 + (4 \cdot \sqrt{5})}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius

Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{11 + (4 \cdot \sqrt{5})} \cdot \frac{21m}{\sqrt{10 + (4 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

r c = \sqrt{11 + (4 \cdot \sqrt{5})} \cdot \frac{21}{\sqrt{10 + (4 \cdot \sqrt{5})}}

Next Step Evaluate

∴

r c = 21.5471298409909m

LAST Step Rounding Answer

∴

r c = 21.5471m

Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius 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

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

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

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

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 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 given Midsphere Radius?

Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius evaluator uses Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))*(Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))) to evaluate the Circumsphere Radius of Rhombicosidodecahedron, Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius 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, and calculated using the midsphere radius of the Rhombicosidodecahedron. Circumsphere Radius of Rhombicosidodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius

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

The formula of Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius is expressed as Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))*(Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))). Here is an example- 21.54713 = sqrt(11+(4*sqrt(5)))*(21)/(sqrt(10+(4*sqrt(5)))).

How to calculate Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius?

With Midsphere Radius of Rhombicosidodecahedron (r_m) we can find Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius using the formula - Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))*(Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))). 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*Edge Length 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)

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit