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Midsphere Radius of Icosidodecahedron given Circumsphere Radius Formula

GoMidsphere Radius of Icosidodecahedron Formula

GoMidsphere Radius of Icosidodecahedron given Total Surface Area Formula

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

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{r c}{1 + \sqrt{5}}

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

Midsphere Radius of Icosidodecahedron given Circumsphere Radius Example

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

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

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

15.2169 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{16}{1 + \sqrt{5}}

15.2169m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{16m}{1 + \sqrt{5}}

15.2169 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{16}{1 + \sqrt{5}}

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Midsphere Radius of Icosidodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{r c}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{16}{1 + \sqrt{5}}

Next Step Evaluate

∴

r m = 15.2169042607225m

LAST Step Rounding Answer

∴

r m = 15.2169m

Midsphere Radius of Icosidodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Midsphere Radius of Icosidodecahedron

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

Circumsphere Radius of Icosidodecahedron

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

Go Midsphere Radius of Icosidodecahedron

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

Go Midsphere Radius of Icosidodecahedron given Total Surface Area

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Midsphere Radius of Icosidodecahedron given Volume

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Midsphere Radius of Icosidodecahedron given Surface to Volume Ratio

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Midsphere Radius of Icosidodecahedron given Circumsphere Radius?

Midsphere Radius of Icosidodecahedron given Circumsphere Radius evaluator uses Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))*Circumsphere Radius of Icosidodecahedron/(1+sqrt(5)) to evaluate the Midsphere Radius of Icosidodecahedron, Midsphere Radius of Icosidodecahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Icosidodecahedron become a tangent line on that sphere, and calculated using the circumsphere radius of the Icosidodecahedron. Midsphere Radius of Icosidodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Icosidodecahedron given Circumsphere Radius

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

The formula of Midsphere Radius of Icosidodecahedron given Circumsphere Radius is expressed as Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))*Circumsphere Radius of Icosidodecahedron/(1+sqrt(5)). Here is an example- 15.2169 = sqrt(5+(2*sqrt(5)))*16/(1+sqrt(5)).

How to calculate Midsphere Radius of Icosidodecahedron given Circumsphere Radius?

With Circumsphere Radius of Icosidodecahedron (r_c) we can find Midsphere Radius of Icosidodecahedron given Circumsphere Radius using the formula - Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))*Circumsphere Radius of Icosidodecahedron/(1+sqrt(5)). This formula also uses Square Root Function function(s).

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

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

Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))/2*Edge Length of Icosidodecahedron
Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)

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

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

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

Midsphere Radius of 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 Icosidodecahedron given Circumsphere Radius can be measured.

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