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Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius Formula

GoMidsphere Radius of Truncated Icosidodecahedron Formula

GoMidsphere Radius of Truncated Icosidodecahedron given Total Surface Area Formula

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

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{r c}{\sqrt{31 + (12 \cdot \sqrt{5})}}

r_m - Midsphere Radius of Truncated Icosidodecahedron?r_c - Circumsphere Radius of Truncated Icosidodecahedron?

Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius Example

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

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

Here is how the Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius equation looks like.

37.67 = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{38}{\sqrt{31 + (12 \cdot \sqrt{5})}}

37.67m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{38m}{\sqrt{31 + (12 \cdot \sqrt{5})}}

37.67 = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{38}{\sqrt{31 + (12 \cdot \sqrt{5})}}

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Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{r c}{\sqrt{31 + (12 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{38m}{\sqrt{31 + (12 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{38}{\sqrt{31 + (12 \cdot \sqrt{5})}}

Next Step Evaluate

∴

r m = 37.6700342025603m

LAST Step Rounding Answer

∴

r m = 37.67m

Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Midsphere Radius of Truncated Icosidodecahedron

Midsphere Radius of Truncated Icosidodecahedron is the radius of the sphere for which all the edges of the Truncated Icosidodecahedron 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 Truncated Icosidodecahedron

Circumsphere Radius of Truncated Icosidodecahedron

Circumsphere Radius of Truncated Icosidodecahedron is the radius of the sphere that contains the Truncated Icosidodecahedron 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 Truncated Icosidodecahedron

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 Truncated Icosidodecahedron

Go Midsphere Radius of Truncated Icosidodecahedron

r m = \frac{\sqrt{30 + (12 \cdot \sqrt{5})}}{2} \cdot l e

Go Midsphere Radius of Truncated Icosidodecahedron given Total Surface Area

r m = \frac{\sqrt{30 + (12 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{30 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}}

Go Midsphere Radius of Truncated Icosidodecahedron given Volume

r m = \frac{\sqrt{30 + (12 \cdot \sqrt{5})}}{2} \cdot {(\frac{V}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{R A/V \cdot (19 + (10 \cdot \sqrt{5}))}

How to Evaluate Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius?

Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius evaluator uses Midsphere Radius of Truncated Icosidodecahedron = sqrt(30+(12*sqrt(5)))*Circumsphere Radius of Truncated Icosidodecahedron/sqrt(31+(12*sqrt(5))) to evaluate the Midsphere Radius of Truncated Icosidodecahedron, Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Truncated Icosidodecahedron become a tangent line on that sphere, and calculated using the circumsphere radius of the Truncated Icosidodecahedron. Midsphere Radius of Truncated Icosidodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius

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

The formula of Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius is expressed as Midsphere Radius of Truncated Icosidodecahedron = sqrt(30+(12*sqrt(5)))*Circumsphere Radius of Truncated Icosidodecahedron/sqrt(31+(12*sqrt(5))). Here is an example- 37.67003 = sqrt(30+(12*sqrt(5)))*38/sqrt(31+(12*sqrt(5))).

How to calculate Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Icosidodecahedron (r_c) we can find Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius using the formula - Midsphere Radius of Truncated Icosidodecahedron = sqrt(30+(12*sqrt(5)))*Circumsphere Radius of Truncated Icosidodecahedron/sqrt(31+(12*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Truncated Icosidodecahedron?

Here are the different ways to Calculate Midsphere Radius of Truncated Icosidodecahedron-

Midsphere Radius of Truncated Icosidodecahedron=sqrt(30+(12*sqrt(5)))/2*Edge Length of Truncated Icosidodecahedron
Midsphere Radius of Truncated Icosidodecahedron=sqrt(30+(12*sqrt(5)))/2*sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))
Midsphere Radius of Truncated Icosidodecahedron=sqrt(30+(12*sqrt(5)))/2*(Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)

Can the Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius be negative?

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

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

Midsphere Radius of Truncated Icosidodecahedron 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 Truncated Icosidodecahedron given Circumsphere Radius can be measured.

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