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Midsphere Radius of Rhombicuboctahedron Formula

GoMidsphere Radius of Rhombicuboctahedron given Total Surface Area Formula

GoMidsphere Radius of Rhombicuboctahedron given Volume Formula

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

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

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

Midsphere Radius of Rhombicuboctahedron Example

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

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

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

13.0656 = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot 10

13.0656m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot 10m

13.0656 = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot 10

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Midsphere Radius of Rhombicuboctahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r m = 13.0656296487638m

LAST Step Rounding Answer

∴

r m = 13.0656m

Midsphere Radius of Rhombicuboctahedron Formula Elements

Variables

Functions

Midsphere Radius of Rhombicuboctahedron

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

Go Midsphere Radius of Rhombicuboctahedron given Total Surface Area

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}}

Go Midsphere Radius of Rhombicuboctahedron given Volume

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Go Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius

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

Go Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))}

How to Evaluate Midsphere Radius of Rhombicuboctahedron?

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

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

FAQs on Midsphere Radius of Rhombicuboctahedron

What is the formula to find Midsphere Radius of Rhombicuboctahedron?

The formula of Midsphere Radius of Rhombicuboctahedron is expressed as Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron. Here is an example- 13.06563 = sqrt(4+(2*sqrt(2)))/2*10.

How to calculate Midsphere Radius of Rhombicuboctahedron?

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

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

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

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

Can the Midsphere Radius of Rhombicuboctahedron be negative?

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

Which unit is used to measure Midsphere Radius of Rhombicuboctahedron?

Midsphere 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 Midsphere Radius of Rhombicuboctahedron can be measured.

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