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Midsphere Radius of Pentakis Dodecahedron given Total Surface Area Formula

GoMidsphere Radius of Pentakis Dodecahedron Formula

GoMidsphere Radius of Pentakis Dodecahedron given Surface to Volume Ratio Formula

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

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

r_m - Midsphere Radius of Pentakis Dodecahedron?TSA - Total Surface Area of Pentakis Dodecahedron?

Midsphere Radius of Pentakis Dodecahedron given Total Surface Area Example

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Here is how the Midsphere Radius of Pentakis Dodecahedron given Total Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Pentakis Dodecahedron given Total Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Pentakis Dodecahedron given Total Surface Area equation looks like.

13.0957 = (\frac{3 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

13.0957m = (\frac{3 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{19 \cdot 2200m²}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

13.0957 = (\frac{3 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

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Midsphere Radius of Pentakis Dodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Pentakis Dodecahedron given Total Surface Area?

FIRST Step Consider the formula

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

Next Step Substitute values of Variables

∴

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{19 \cdot 2200m²}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

Next Step Prepare to Evaluate

∴

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

Next Step Evaluate

∴

r m = 13.0956883459243m

LAST Step Rounding Answer

∴

r m = 13.0957m

Midsphere Radius of Pentakis Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Midsphere Radius of Pentakis Dodecahedron

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

Total Surface Area of Pentakis Dodecahedron

Total Surface Area of Pentakis Dodecahedron is the amount or quantity of two dimensional space covered on the surface of Pentakis Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentakis 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 Pentakis Dodecahedron

Go Midsphere Radius of Pentakis Dodecahedron

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

Go Midsphere Radius of Pentakis Dodecahedron given Surface to Volume Ratio

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{\frac{76}{19}}{R A/V}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

Go Midsphere Radius of Pentakis Dodecahedron given Leg Length

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})})

Go Midsphere Radius of Pentakis Dodecahedron given Volume

r m = (\frac{3 + \sqrt{5}}{4}) \cdot ({(\frac{76 \cdot V}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

How to Evaluate Midsphere Radius of Pentakis Dodecahedron given Total Surface Area?

Midsphere Radius of Pentakis Dodecahedron given Total Surface Area evaluator uses Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))) to evaluate the Midsphere Radius of Pentakis Dodecahedron, Midsphere Radius of Pentakis Dodecahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere, calculated using the total surface area of the Pentakis Dodecahedron. Midsphere Radius of Pentakis Dodecahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Pentakis Dodecahedron given Total Surface Area using this online evaluator? To use this online evaluator for Midsphere Radius of Pentakis Dodecahedron given Total Surface Area, enter Total Surface Area of Pentakis Dodecahedron (TSA) and hit the calculate button.

FAQs on Midsphere Radius of Pentakis Dodecahedron given Total Surface Area

What is the formula to find Midsphere Radius of Pentakis Dodecahedron given Total Surface Area?

The formula of Midsphere Radius of Pentakis Dodecahedron given Total Surface Area is expressed as Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))). Here is an example- 13.09569 = ((3+sqrt(5))/4)*(sqrt((19*2200)/(15*(sqrt(413+(162*sqrt(5))))))).

How to calculate Midsphere Radius of Pentakis Dodecahedron given Total Surface Area?

With Total Surface Area of Pentakis Dodecahedron (TSA) we can find Midsphere Radius of Pentakis Dodecahedron given Total Surface Area using the formula - Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))). This formula also uses Square Root Function function(s).

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

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

Midsphere Radius of Pentakis Dodecahedron=(Base Length of Pentakis Dodecahedron/4)*(3+sqrt(5))
Midsphere Radius of Pentakis Dodecahedron=((3+sqrt(5))/4)*((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))*(sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))
Midsphere Radius of Pentakis Dodecahedron=((3+sqrt(5))/4)*((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))

Can the Midsphere Radius of Pentakis Dodecahedron given Total Surface Area be negative?

No, the Midsphere Radius of Pentakis Dodecahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Pentakis Dodecahedron given Total Surface Area?

Midsphere Radius of Pentakis Dodecahedron given Total Surface Area 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 Pentakis Dodecahedron given Total Surface Area can be measured.

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