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Midsphere Radius of Cuboctahedron given Total Surface Area Formula

GoMidsphere Radius of Cuboctahedron 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 \sqrt{\frac{TSA}{2 \cdot (3 + \sqrt{3})}}

r_m - Midsphere Radius of Cuboctahedron?TSA - Total Surface Area of Cuboctahedron?

Midsphere Radius of Cuboctahedron given Total Surface Area Example

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Here is how the Midsphere Radius of Cuboctahedron given Total Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Cuboctahedron given Total Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Cuboctahedron given Total Surface Area equation looks like.

8.6767 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950}{2 \cdot (3 + \sqrt{3})}}

8.6767m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950m²}{2 \cdot (3 + \sqrt{3})}}

8.6767 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950}{2 \cdot (3 + \sqrt{3})}}

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Midsphere Radius of Cuboctahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Cuboctahedron given Total Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950m²}{2 \cdot (3 + \sqrt{3})}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950}{2 \cdot (3 + \sqrt{3})}}

Next Step Evaluate

∴

r m = 8.67666314320188m

LAST Step Rounding Answer

∴

r m = 8.6767m

Midsphere Radius of Cuboctahedron given Total Surface Area 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

Total Surface Area of Cuboctahedron

Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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 given Total Surface Area?

Midsphere Radius of Cuboctahedron given Total Surface Area evaluator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))) to evaluate the Midsphere Radius of Cuboctahedron, Midsphere Radius of Cuboctahedron given Total Surface Area 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 total surface area of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Cuboctahedron given Total Surface Area

What is the formula to find Midsphere Radius of Cuboctahedron given Total Surface Area?

The formula of Midsphere Radius of Cuboctahedron given Total Surface Area is expressed as Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). Here is an example- 8.676663 = sqrt(3)/2*sqrt(950/(2*(3+sqrt(3)))).

How to calculate Midsphere Radius of Cuboctahedron given Total Surface Area?

With Total Surface Area of Cuboctahedron (TSA) we can find Midsphere Radius of Cuboctahedron given Total Surface Area using the formula - Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). 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*((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 given Total Surface Area be negative?

No, the Midsphere Radius of Cuboctahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Cuboctahedron given Total Surface Area?

Midsphere Radius of Cuboctahedron given Total Surface Area 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 Total Surface Area can be measured.

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