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Midsphere Radius of Cuboctahedron Formula

GoMidsphere Radius of Cuboctahedron given Total Surface Area Formula

GoMidsphere Radius of Cuboctahedron given Volume Formula

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Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere. Check FAQs

r m = \frac{\sqrt{3}}{2} \cdot l e

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

Midsphere Radius of Cuboctahedron Example

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

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

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

8.6603 = \frac{\sqrt{3}}{2} \cdot 10

8.6603m = \frac{\sqrt{3}}{2} \cdot 10m

8.6603 = \frac{\sqrt{3}}{2} \cdot 10

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Midsphere Radius of Cuboctahedron Solution

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

FIRST Step Consider the formula

r m = \frac{\sqrt{3}}{2} \cdot l e

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{3}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{3}}{2} \cdot 10

Next Step Evaluate

∴

r m = 8.66025403784439m

LAST Step Rounding Answer

∴

r m = 8.6603m

Midsphere Radius of Cuboctahedron Formula Elements

Variables

Functions

Midsphere Radius of Cuboctahedron

Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron

Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Cuboctahedron

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 Cuboctahedron

Go Midsphere Radius of Cuboctahedron given Total Surface Area

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

Go Midsphere Radius of Cuboctahedron given Volume

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

Go Midsphere Radius of Cuboctahedron given Circumsphere Radius

r m = \frac{\sqrt{3}}{2} \cdot r c

Go Midsphere Radius of Cuboctahedron given Surface to Volume Ratio

r m = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V}

How to Evaluate Midsphere Radius of Cuboctahedron?

Midsphere Radius of Cuboctahedron evaluator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron to evaluate the Midsphere Radius of Cuboctahedron, Midsphere Radius of Cuboctahedron formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Cuboctahedron

What is the formula to find Midsphere Radius of Cuboctahedron?

The formula of Midsphere Radius of Cuboctahedron is expressed as Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron. Here is an example- 8.660254 = sqrt(3)/2*10.

How to calculate Midsphere Radius of Cuboctahedron?

With Edge Length of Cuboctahedron (l_e) we can find Midsphere Radius of Cuboctahedron using the formula - Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron. This formula also uses Square Root (sqrt) function(s).

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

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

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

Can the Midsphere Radius of Cuboctahedron be negative?

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

Which unit is used to measure Midsphere Radius of Cuboctahedron?

Midsphere Radius of Cuboctahedron 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 Cuboctahedron can be measured.

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