Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area Calculator

✖Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.ⓘ Total Surface Area of Deltoidal Icositetrahedron [TSA]

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✖Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area [r_i]

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Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
r_i = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*TSA)/(12*sqrt(61+(38*sqrt(2)))))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Insphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.
Total Surface Area of Deltoidal Icositetrahedron - (Measured in Square Meter) - Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Deltoidal Icositetrahedron: 7350 Square Meter --> 7350 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*TSA)/(12*sqrt(61+(38*sqrt(2))))) --> sqrt((22+(15*sqrt(2)))/34)*sqrt((7*7350)/(12*sqrt(61+(38*sqrt(2)))))

Evaluating ... ...

r_i = 22.5549577820531

STEP 3: Convert Result to Output's Unit

22.5549577820531 Meter --> No Conversion Required

FINAL ANSWER

22.5549577820531 ≈ 22.55496 Meter <-- Insphere Radius of Deltoidal Icositetrahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Insphere Radius of Deltoidal Icositetrahedron Calculators

Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

LaTeX Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

LaTeX Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

Insphere Radius of Deltoidal Icositetrahedron given Short Edge

LaTeX Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))

Insphere Radius of Deltoidal Icositetrahedron

LaTeX Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area Formula

LaTeX Go

What is Deltoidal Icositetrahedron?

A Deltoidal Icositetrahedron is a polyhedron with deltoid (kite) faces, those have three angles with 81.579° and one with 115.263°. It has eight vertices with three edges and eighteen vertices with four edges. In total, it has 24 faces, 48 edges, 26 vertices.

How to Calculate Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area calculator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))) to calculate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touch the sphere, calculated using the total surface area of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area, enter Total Surface Area of Deltoidal Icositetrahedron (TSA) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area calculation can be explained with given input values -> 22.55496 = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*7350)/(12*sqrt(61+(38*sqrt(2))))).

FAQ

What is Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touch the sphere, calculated using the total surface area of Deltoidal Icositetrahedron and is represented as r_i = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*TSA)/(12*sqrt(61+(38*sqrt(2))))) or Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))). Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.

How to calculate Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area?

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touch the sphere, calculated using the total surface area of Deltoidal Icositetrahedron is calculated using Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))). To calculate Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area, you need Total Surface Area of Deltoidal Icositetrahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Deltoidal Icositetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Insphere Radius of Deltoidal Icositetrahedron?

In this formula, Insphere Radius of Deltoidal Icositetrahedron uses Total Surface Area of Deltoidal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron
Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

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