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Circumsphere Radius of Rhombicuboctahedron Formula

GoCircumsphere Radius of Rhombicuboctahedron given Total Surface Area Formula

GoCircumsphere Radius of Rhombicuboctahedron given Volume Formula

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

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

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

Circumsphere Radius of Rhombicuboctahedron Example

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

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

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

13.9897 = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot 10

13.9897m = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot 10m

13.9897 = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot 10

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Circumsphere Radius of Rhombicuboctahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r c = 13.9896632596591m

LAST Step Rounding Answer

∴

r c = 13.9897m

Circumsphere Radius of Rhombicuboctahedron Formula Elements

Variables

Functions

Circumsphere Radius of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron 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 Rhombicuboctahedron

Edge Length of Rhombicuboctahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombicuboctahedron

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 Rhombicuboctahedron

Go Circumsphere Radius of Rhombicuboctahedron given Total Surface Area

r c = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}}

Go Circumsphere Radius of Rhombicuboctahedron given Volume

r c = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Go Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius

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

Go Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

r c = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot \frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))}

How to Evaluate Circumsphere Radius of Rhombicuboctahedron?

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

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

FAQs on Circumsphere Radius of Rhombicuboctahedron

What is the formula to find Circumsphere Radius of Rhombicuboctahedron?

The formula of Circumsphere Radius of Rhombicuboctahedron is expressed as Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron. Here is an example- 13.98966 = sqrt(5+(2*sqrt(2)))/2*10.

How to calculate Circumsphere Radius of Rhombicuboctahedron?

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

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

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

Circumsphere Radius of Rhombicuboctahedron=sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Circumsphere Radius of Rhombicuboctahedron=sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Circumsphere Radius of Rhombicuboctahedron=sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2))))

Can the Circumsphere Radius of Rhombicuboctahedron be negative?

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

Which unit is used to measure Circumsphere Radius of Rhombicuboctahedron?

Circumsphere Radius of Rhombicuboctahedron 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 Rhombicuboctahedron can be measured.

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