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Midsphere Radius of Cuboctahedron given Circumsphere Radius Formula

GoMidsphere Radius of Cuboctahedron Formula

GoMidsphere Radius of Cuboctahedron given Total Surface Area 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 r c

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

Midsphere Radius of Cuboctahedron given Circumsphere Radius Example

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

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

Here is how the Midsphere Radius of Cuboctahedron given Circumsphere Radius 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 given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

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 given Circumsphere Radius 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

Circumsphere Radius of Cuboctahedron

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

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

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 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 given Circumsphere Radius?

Midsphere Radius of Cuboctahedron given Circumsphere Radius evaluator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron to evaluate the Midsphere Radius of Cuboctahedron, The Midsphere Radius of Cuboctahedron given Circumsphere Radius 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, calculated using circumsphere radius of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Cuboctahedron given Circumsphere Radius

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

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

How to calculate Midsphere Radius of Cuboctahedron given Circumsphere Radius?

With Circumsphere Radius of Cuboctahedron (r_c) we can find Midsphere Radius of Cuboctahedron given Circumsphere Radius using the formula - Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius 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*Edge Length 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)

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

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

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

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

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