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Midsphere Radius of Icosidodecahedron Formula

GoMidsphere Radius of Icosidodecahedron given Total Surface Area Formula

GoMidsphere Radius of Icosidodecahedron given Volume 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 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot l e

r_m - Midsphere Radius of Icosidodecahedron?l_e - Edge Length of Icosidodecahedron?

Midsphere Radius of Icosidodecahedron Example

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

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

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

15.3884 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot 10

15.3884m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot 10m

15.3884 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot 10

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Midsphere Radius of Icosidodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r m = 15.3884176858763m

LAST Step Rounding Answer

∴

r m = 15.3884m

Midsphere Radius of Icosidodecahedron 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

Edge Length of Icosidodecahedron

Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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 Circumsphere Radius

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

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?

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

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

FAQs on Midsphere Radius of Icosidodecahedron

What is the formula to find Midsphere Radius of Icosidodecahedron?

The formula of Midsphere Radius of Icosidodecahedron is expressed as Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))/2*Edge Length of Icosidodecahedron. Here is an example- 15.38842 = sqrt(5+(2*sqrt(5)))/2*10.

How to calculate Midsphere Radius of Icosidodecahedron?

With Edge Length of Icosidodecahedron (l_e) we can find Midsphere Radius of Icosidodecahedron using the formula - Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))/2*Edge Length of Icosidodecahedron. This formula also uses Square Root (sqrt) 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*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)
Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))*Circumsphere Radius of Icosidodecahedron/(1+sqrt(5))

Can the Midsphere Radius of Icosidodecahedron be negative?

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

Which unit is used to measure Midsphere Radius of Icosidodecahedron?

Midsphere Radius of Icosidodecahedron 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 can be measured.

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