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Midsphere Radius of Rhombicuboctahedron given Total Surface Area Formula

GoMidsphere Radius of Rhombicuboctahedron 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 \sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}}

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

Midsphere Radius of Rhombicuboctahedron given Total Surface Area Example

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

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

12.9236 = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{2100}{2 \cdot (9 + \sqrt{3})}}

12.9236m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{2100m²}{2 \cdot (9 + \sqrt{3})}}

12.9236 = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{2100}{2 \cdot (9 + \sqrt{3})}}

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Midsphere Radius of Rhombicuboctahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{2100m²}{2 \cdot (9 + \sqrt{3})}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{2100}{2 \cdot (9 + \sqrt{3})}}

Next Step Evaluate

∴

r m = 12.9236037381539m

LAST Step Rounding Answer

∴

r m = 12.9236m

Midsphere Radius of Rhombicuboctahedron given Total Surface Area 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

Total Surface Area of Rhombicuboctahedron

Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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

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 given Total Surface Area?

Midsphere Radius of Rhombicuboctahedron given Total Surface Area evaluator uses Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))) to evaluate the Midsphere Radius of Rhombicuboctahedron, Midsphere Radius of Rhombicuboctahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere, and calculated using the total surface area of the Rhombicuboctahedron. Midsphere Radius of Rhombicuboctahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Rhombicuboctahedron given Total Surface Area

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

The formula of Midsphere Radius of Rhombicuboctahedron given Total Surface Area is expressed as Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))). Here is an example- 12.9236 = sqrt(4+(2*sqrt(2)))/2*sqrt((2100)/(2*(9+sqrt(3)))).

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

With Total Surface Area of Rhombicuboctahedron (TSA) we can find Midsphere Radius of Rhombicuboctahedron given Total Surface Area using the formula - Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))). 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*Edge Length of Rhombicuboctahedron
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 given Total Surface Area be negative?

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

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

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

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