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Midsphere Radius of Truncated Dodecahedron Formula

GoMidsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length Formula

GoMidsphere Radius of Truncated Dodecahedron given Total Surface Area Formula

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

r m = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot l e

r_m - Midsphere Radius of Truncated Dodecahedron?l_e - Edge Length of Truncated Dodecahedron?

Midsphere Radius of Truncated Dodecahedron Example

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

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

Here is how the Midsphere Radius of Truncated Dodecahedron equation looks like.

29.2705 = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot 10

29.2705m = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot 10m

29.2705 = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot 10

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Midsphere Radius of Truncated Dodecahedron Solution

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

FIRST Step Consider the formula

r m = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot l e

Next Step Substitute values of Variables

∴

r m = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot 10m

Next Step Prepare to Evaluate

∴

r m = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot 10

Next Step Evaluate

∴

r m = 29.2705098312484m

LAST Step Rounding Answer

∴

r m = 29.2705m

Midsphere Radius of Truncated Dodecahedron Formula Elements

Variables

Functions

Midsphere Radius of Truncated Dodecahedron

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

Edge Length of Truncated Dodecahedron

Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Dodecahedron

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 Dodecahedron

Go Midsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length

r m = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot \frac{l e(Dodecahedron)}{\sqrt{5}}

Go Midsphere Radius of Truncated Dodecahedron given Total Surface Area

r m = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot \sqrt{\frac{TSA}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

Go Midsphere Radius of Truncated Dodecahedron given Volume

r m = \frac{5 + (3 \cdot \sqrt{5})}{4} \cdot {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Midsphere Radius of Truncated Dodecahedron given Circumsphere Radius

r m = (5 + (3 \cdot \sqrt{5})) \cdot \frac{r c}{\sqrt{74 + (30 \cdot \sqrt{5})}}

How to Evaluate Midsphere Radius of Truncated Dodecahedron?

Midsphere Radius of Truncated Dodecahedron evaluator uses Midsphere Radius of Truncated Dodecahedron = (5+(3*sqrt(5)))/4*Edge Length of Truncated Dodecahedron to evaluate the Midsphere Radius of Truncated Dodecahedron, Midsphere Radius of Truncated Dodecahedron formula is defined as the radius of the sphere for which all the edges of the Truncated Dodecahedron become a tangent line on that sphere. Midsphere Radius of Truncated Dodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Truncated Dodecahedron

What is the formula to find Midsphere Radius of Truncated Dodecahedron?

The formula of Midsphere Radius of Truncated Dodecahedron is expressed as Midsphere Radius of Truncated Dodecahedron = (5+(3*sqrt(5)))/4*Edge Length of Truncated Dodecahedron. Here is an example- 29.27051 = (5+(3*sqrt(5)))/4*10.

How to calculate Midsphere Radius of Truncated Dodecahedron?

With Edge Length of Truncated Dodecahedron (l_e) we can find Midsphere Radius of Truncated Dodecahedron using the formula - Midsphere Radius of Truncated Dodecahedron = (5+(3*sqrt(5)))/4*Edge Length of Truncated Dodecahedron. This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Truncated Dodecahedron=(5+(3*sqrt(5)))/4*Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5)
Midsphere Radius of Truncated Dodecahedron=(5+(3*sqrt(5)))/4*sqrt(Total Surface Area of Truncated Dodecahedron/(5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))))
Midsphere Radius of Truncated Dodecahedron=(5+(3*sqrt(5)))/4*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(1/3)

Can the Midsphere Radius of Truncated Dodecahedron be negative?

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

Which unit is used to measure Midsphere Radius of Truncated Dodecahedron?

Midsphere Radius of Truncated Dodecahedron 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 Dodecahedron can be measured.

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