Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area Calculator

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

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))
r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*TSA)/(9*sqrt(10*(157+(31*sqrt(5))))))
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 Hexecontahedron - (Measured in Meter) - Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.
Total Surface Area of Deltoidal Hexecontahedron - (Measured in Square Meter) - Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Deltoidal Hexecontahedron: 3900 Square Meter --> 3900 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*TSA)/(9*sqrt(10*(157+(31*sqrt(5)))))) --> 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*3900)/(9*sqrt(10*(157+(31*sqrt(5))))))

Evaluating ... ...

r_i = 17.1332191199565

STEP 3: Convert Result to Output's Unit

17.1332191199565 Meter --> No Conversion Required

FINAL ANSWER

17.1332191199565 ≈ 17.13322 Meter <-- Insphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Deltoidal Hexecontahedron » Radius of Deltoidal Hexecontahedron » Insphere Radius of Deltoidal Hexecontahedron » Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Insphere Radius of Deltoidal Hexecontahedron Calculators

Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Insphere Radius of Deltoidal Hexecontahedron given Short Edge

LaTeX Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

Insphere Radius of Deltoidal Hexecontahedron

LaTeX Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area Formula

LaTeX Go

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

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

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area calculator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))) to calculate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using total surface area of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area, enter Total Surface Area of Deltoidal Hexecontahedron (TSA) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area calculation can be explained with given input values -> 17.13322 = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*3900)/(9*sqrt(10*(157+(31*sqrt(5)))))).

FAQ

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

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using total surface area of Deltoidal Hexecontahedron and is represented as r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*TSA)/(9*sqrt(10*(157+(31*sqrt(5)))))) or Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))). Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.

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

Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using total surface area of Deltoidal Hexecontahedron is calculated using Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))). To calculate Insphere Radius of Deltoidal Hexecontahedron given Total Surface Area, you need Total Surface Area of Deltoidal Hexecontahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Deltoidal Hexecontahedron 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 Hexecontahedron?

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

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Home

FREE PDFs

🔍 Search