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Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal 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{d Pentagon}{1 + \sqrt{5}}

r_m - Midsphere Radius of Icosidodecahedron?d_Pentagon - Pentagonal Face Diagonal of Icosidodecahedron?

Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal Example

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Here is how the Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal equation looks like with Values.

Here is how the Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal equation looks like with Units.

Here is how the Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal 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 Pentagonal Face Diagonal Solution

Follow our step by step solution on how to calculate Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal?

FIRST Step Consider the formula

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{d Pentagon}{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 Pentagonal Face Diagonal 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

Pentagonal Face Diagonal of Icosidodecahedron

Pentagonal Face Diagonal of Icosidodecahedron is the distance between any pair of non adjacent vertices of any of the pentagonal faces of the Icosidodecahedron.

Symbol: d_Pentagon

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Diagonal 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 Circumsphere Radius

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

How to Evaluate Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal?

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

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

FAQs on Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal

What is the formula to find Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal?

The formula of Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal is expressed as Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))*Pentagonal Face Diagonal 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 Pentagonal Face Diagonal?

With Pentagonal Face Diagonal of Icosidodecahedron (d_Pentagon) we can find Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal using the formula - Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))*Pentagonal Face Diagonal of Icosidodecahedron/(1+sqrt(5)). 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*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 Pentagonal Face Diagonal be negative?

No, the Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal?

Midsphere Radius of Icosidodecahedron given Pentagonal Face Diagonal 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 Pentagonal Face Diagonal can be measured.

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