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Midsphere Radius of Dodecahedron given Face Perimeter Formula

GoMidsphere Radius of Dodecahedron Formula

GoMidsphere Radius of Dodecahedron given Volume Formula

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

r m = \frac{3 + \sqrt{5}}{20} \cdot P Face

r_m - Midsphere Radius of Dodecahedron?P_Face - Face Perimeter of Dodecahedron?

Midsphere Radius of Dodecahedron given Face Perimeter Example

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Here is how the Midsphere Radius of Dodecahedron given Face Perimeter equation looks like with Values.

Here is how the Midsphere Radius of Dodecahedron given Face Perimeter equation looks like with Units.

Here is how the Midsphere Radius of Dodecahedron given Face Perimeter equation looks like.

13.0902 = \frac{3 + \sqrt{5}}{20} \cdot 50

13.0902m = \frac{3 + \sqrt{5}}{20} \cdot 50m

13.0902 = \frac{3 + \sqrt{5}}{20} \cdot 50

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Midsphere Radius of Dodecahedron given Face Perimeter Solution

Follow our step by step solution on how to calculate Midsphere Radius of Dodecahedron given Face Perimeter?

FIRST Step Consider the formula

r m = \frac{3 + \sqrt{5}}{20} \cdot P Face

Next Step Substitute values of Variables

∴

r m = \frac{3 + \sqrt{5}}{20} \cdot 50m

Next Step Prepare to Evaluate

∴

r m = \frac{3 + \sqrt{5}}{20} \cdot 50

Next Step Evaluate

∴

r m = 13.0901699437495m

LAST Step Rounding Answer

∴

r m = 13.0902m

Midsphere Radius of Dodecahedron given Face Perimeter Formula Elements

Variables

Functions

Midsphere Radius of Dodecahedron

The Midsphere Radius of Dodecahedron is defined as radius of the sphere for which all the edges of the 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 Dodecahedron

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter of 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 Dodecahedron

Go Midsphere Radius of Dodecahedron

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

Go Midsphere Radius of Dodecahedron given Volume

r m = \frac{3 + \sqrt{5}}{4} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Midsphere Radius of Dodecahedron given Total Surface Area

r m = \frac{3 + \sqrt{5}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Midsphere Radius of Dodecahedron given Face Area

r m = \frac{3 + \sqrt{5}}{4} \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Midsphere Radius of Dodecahedron given Face Perimeter?

Midsphere Radius of Dodecahedron given Face Perimeter evaluator uses Midsphere Radius of Dodecahedron = (3+sqrt(5))/20*Face Perimeter of Dodecahedron to evaluate the Midsphere Radius of Dodecahedron, The Midsphere Radius of Dodecahedron given Face Perimeter formula is defined as radius of the sphere for which all the edges of the Dodecahedron become a tangent line on that sphere, and calculated using face perimeter of Dodecahedron. Midsphere Radius of Dodecahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Dodecahedron given Face Perimeter using this online evaluator? To use this online evaluator for Midsphere Radius of Dodecahedron given Face Perimeter, enter Face Perimeter of Dodecahedron (P_Face) and hit the calculate button.

FAQs on Midsphere Radius of Dodecahedron given Face Perimeter

What is the formula to find Midsphere Radius of Dodecahedron given Face Perimeter?

The formula of Midsphere Radius of Dodecahedron given Face Perimeter is expressed as Midsphere Radius of Dodecahedron = (3+sqrt(5))/20*Face Perimeter of Dodecahedron. Here is an example- 13.09017 = (3+sqrt(5))/20*50.

How to calculate Midsphere Radius of Dodecahedron given Face Perimeter?

With Face Perimeter of Dodecahedron (P_Face) we can find Midsphere Radius of Dodecahedron given Face Perimeter using the formula - Midsphere Radius of Dodecahedron = (3+sqrt(5))/20*Face Perimeter of Dodecahedron. This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Dodecahedron=(3+sqrt(5))/4*Edge Length of Dodecahedron
Midsphere Radius of Dodecahedron=(3+sqrt(5))/4*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)
Midsphere Radius of Dodecahedron=(3+sqrt(5))/4*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Midsphere Radius of Dodecahedron given Face Perimeter be negative?

No, the Midsphere Radius of Dodecahedron given Face Perimeter, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Dodecahedron given Face Perimeter?

Midsphere Radius of Dodecahedron given Face Perimeter 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 Dodecahedron given Face Perimeter can be measured.

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