Insphere Radius of Deltoidal Hexecontahedron given Short Edge Calculator

✖Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.ⓘ Short Edge of Deltoidal Hexecontahedron [l_e(Short)]

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✖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 Short Edge [r_i]

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Insphere Radius of Deltoidal Hexecontahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*l_e(Short))/(3*(7-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.
Short Edge of Deltoidal Hexecontahedron - (Measured in Meter) - Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Deltoidal Hexecontahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*l_e(Short))/(3*(7-sqrt(5))) --> 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*6)/(3*(7-sqrt(5)))

Evaluating ... ...

r_i = 15.8087861293348

STEP 3: Convert Result to Output's Unit

15.8087861293348 Meter --> No Conversion Required

FINAL ANSWER

15.8087861293348 ≈ 15.80879 Meter <-- Insphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< 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 Short Edge 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 Short Edge?

Insphere Radius of Deltoidal Hexecontahedron given Short Edge calculator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))) to calculate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Short Edge 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 insphere radius of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Short Edge using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Hexecontahedron given Short Edge, enter Short Edge of Deltoidal Hexecontahedron (l_e(Short)) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Hexecontahedron given Short Edge calculation can be explained with given input values -> 15.80879 = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*6)/(3*(7-sqrt(5))).

FAQ

What is Insphere Radius of Deltoidal Hexecontahedron given Short Edge?

Insphere Radius of Deltoidal Hexecontahedron given Short Edge 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 insphere radius of Deltoidal Hexecontahedron and is represented as r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*l_e(Short))/(3*(7-sqrt(5))) or Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))). Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Short Edge?

Insphere Radius of Deltoidal Hexecontahedron given Short Edge 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 insphere radius of Deltoidal Hexecontahedron is calculated using Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))). To calculate Insphere Radius of Deltoidal Hexecontahedron given Short Edge, you need Short Edge of Deltoidal Hexecontahedron (l_e(Short)). With our tool, you need to enter the respective value for Short Edge 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 Short Edge 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)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
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))

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