Insphere Radius of Deltoidal Hexecontahedron Calculator

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

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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 [r_i]

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Insphere Radius of Deltoidal Hexecontahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Long Edge of Deltoidal Hexecontahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*l_e(Long) --> 3/2*sqrt((135+(59*sqrt(5)))/205)*10

Evaluating ... ...

r_i = 17.1163596541808

STEP 3: Convert Result to Output's Unit

17.1163596541808 Meter --> No Conversion Required

FINAL ANSWER

17.1163596541808 ≈ 17.11636 Meter <-- Insphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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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 Formula

LaTeX Go

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

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?

Insphere Radius of Deltoidal Hexecontahedron calculator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron to calculate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron 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. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Hexecontahedron using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Hexecontahedron, enter Long Edge of Deltoidal Hexecontahedron (l_e(Long)) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Hexecontahedron calculation can be explained with given input values -> 17.11636 = 3/2*sqrt((135+(59*sqrt(5)))/205)*10.

FAQ

What is Insphere Radius of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron 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 and is represented as r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*l_e(Long) or Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron. Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

How to calculate Insphere Radius of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron 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 is calculated using Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron. To calculate Insphere Radius of Deltoidal Hexecontahedron, you need Long Edge of Deltoidal Hexecontahedron (l_e(Long)). With our tool, you need to enter the respective value for Long 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 Long 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)*(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))
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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