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Midsphere Radius of Triakis Icosahedron given Total Surface Area Formula

GoMidsphere Radius of Triakis Icosahedron Formula

GoMidsphere Radius of Triakis Icosahedron given Pyramidal Edge Length Formula

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

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

r_m - Midsphere Radius of Triakis Icosahedron?TSA - Total Surface Area of Triakis Icosahedron?

Midsphere Radius of Triakis Icosahedron given Total Surface Area Example

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

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

Here is how the Midsphere Radius of Triakis Icosahedron given Total Surface Area equation looks like.

6.5005 = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

6.5005m = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot 570m²}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

6.5005 = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

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Midsphere Radius of Triakis Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Next Step Substitute values of Variables

∴

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot 570m²}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Next Step Evaluate

∴

r m = 6.50048482810789m

LAST Step Rounding Answer

∴

r m = 6.5005m

Midsphere Radius of Triakis Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Midsphere Radius of Triakis Icosahedron

Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron 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 Triakis Icosahedron

Total Surface Area of Triakis Icosahedron

The Total Surface Area of Triakis Icosahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Triakis Icosahedron

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 Triakis Icosahedron

Go Midsphere Radius of Triakis Icosahedron

r m = (\frac{1 + \sqrt{5}}{4}) \cdot l e(Icosahedron)

Go Midsphere Radius of Triakis Icosahedron given Pyramidal Edge Length

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})

Go Midsphere Radius of Triakis Icosahedron given Volume

r m = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Go Midsphere Radius of Triakis Icosahedron given Insphere Radius

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

How to Evaluate Midsphere Radius of Triakis Icosahedron given Total Surface Area?

Midsphere Radius of Triakis Icosahedron given Total Surface Area evaluator uses Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))) to evaluate the Midsphere Radius of Triakis Icosahedron, Midsphere Radius of Triakis Icosahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere, calculated using total surface area of Triakis Icosahedron. Midsphere Radius of Triakis Icosahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Triakis Icosahedron given Total Surface Area

What is the formula to find Midsphere Radius of Triakis Icosahedron given Total Surface Area?

The formula of Midsphere Radius of Triakis Icosahedron given Total Surface Area is expressed as Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))). Here is an example- 6.500485 = ((1+sqrt(5))/4)*(sqrt((11*570)/(15*(sqrt(109-(30*sqrt(5))))))).

How to calculate Midsphere Radius of Triakis Icosahedron given Total Surface Area?

With Total Surface Area of Triakis Icosahedron (TSA) we can find Midsphere Radius of Triakis Icosahedron given Total Surface Area using the formula - Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Triakis Icosahedron?

Here are the different ways to Calculate Midsphere Radius of Triakis Icosahedron-

Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*Icosahedral Edge Length of Triakis Icosahedron
Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))
Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3))

Can the Midsphere Radius of Triakis Icosahedron given Total Surface Area be negative?

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

Which unit is used to measure Midsphere Radius of Triakis Icosahedron given Total Surface Area?

Midsphere Radius of Triakis Icosahedron 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 Triakis Icosahedron given Total Surface Area can be measured.

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