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Insphere Radius of Triakis Icosahedron given Total Surface Area Formula

GoInsphere Radius of Triakis Icosahedron Formula

GoInsphere Radius of Triakis Icosahedron given Pyramidal Edge Length Formula

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Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

r_i - Insphere Radius of Triakis Icosahedron?TSA - Total Surface Area of Triakis Icosahedron?

Insphere Radius of Triakis Icosahedron given Total Surface Area Example

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

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

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

6.4077 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

6.4077m = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot 570m²}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

6.4077 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

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Insphere Radius of Triakis Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot 570m²}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot 570}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Next Step Evaluate

∴

r i = 6.40767038102149m

LAST Step Rounding Answer

∴

r i = 6.4077m

Insphere Radius of Triakis Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Insphere Radius of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere 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 Insphere Radius of Triakis Icosahedron

Go Insphere Radius of Triakis Icosahedron

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot l e(Icosahedron)

Go Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})

Go Insphere Radius of Triakis Icosahedron given Volume

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Go Insphere Radius of Triakis Icosahedron given Midsphere Radius

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

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

Insphere Radius of Triakis Icosahedron given Total Surface Area evaluator uses Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))) to evaluate the Insphere Radius of Triakis Icosahedron, Insphere Radius of Triakis Icosahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere, calculated using total surface area of Triakis Icosahedron. Insphere Radius of Triakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Triakis Icosahedron given Total Surface Area

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

The formula of Insphere Radius of Triakis Icosahedron given Total Surface Area is expressed as Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))). Here is an example- 6.40767 = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(sqrt((11*570)/(15*(sqrt(109-(30*sqrt(5))))))).

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

With Total Surface Area of Triakis Icosahedron (TSA) we can find Insphere Radius of Triakis Icosahedron given Total Surface Area using the formula - Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/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 Insphere Radius of Triakis Icosahedron?

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

Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*Icosahedral Edge Length of Triakis Icosahedron
Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))
Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3))

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

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

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

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

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