Midsphere 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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✖Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Deltoidal Hexecontahedron [r_m]

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Formula

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Midsphere Radius of Deltoidal Hexecontahedron

Formula

`"r"_{"m"} = 3/20*(5+(3*sqrt(5)))*"l"_{"e(Long)"}`

Example

`"17.56231m"=3/20*(5+(3*sqrt(5)))*"10m"`

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Midsphere Radius of Deltoidal Hexecontahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron
r_m = 3/20*(5+(3*sqrt(5)))*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

Midsphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that 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_m = 3/20*(5+(3*sqrt(5)))*l_e(Long) --> 3/20*(5+(3*sqrt(5)))*10

Evaluating ... ...

r_m = 17.5623058987491

STEP 3: Convert Result to Output's Unit

17.5623058987491 Meter --> No Conversion Required

FINAL ANSWER

17.5623058987491 ≈ 17.56231 Meter <-- Midsphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.020 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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< 8 Midsphere Radius of Deltoidal Hexecontahedron Calculators

Midsphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio

Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25)

Midsphere Radius of Deltoidal Hexecontahedron given Total Surface Area

Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))

Midsphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Midsphere Radius of Deltoidal Hexecontahedron given Volume

Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)

Midsphere Radius of Deltoidal Hexecontahedron given Insphere Radius

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

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Midsphere Radius of Deltoidal Hexecontahedron given Short Edge

Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

Midsphere Radius of Deltoidal Hexecontahedron

Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron

Midsphere Radius of Deltoidal Hexecontahedron Formula

Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron
r_m = 3/20*(5+(3*sqrt(5)))*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 Midsphere Radius of Deltoidal Hexecontahedron?

Midsphere Radius of Deltoidal Hexecontahedron calculator uses Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron to calculate the Midsphere Radius of Deltoidal Hexecontahedron, Midsphere Radius of Deltoidal Hexecontahedron formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere. Midsphere Radius of Deltoidal Hexecontahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Deltoidal Hexecontahedron using this online calculator? To use this online calculator for Midsphere Radius of Deltoidal Hexecontahedron, enter Long Edge of Deltoidal Hexecontahedron (l_e(Long)) and hit the calculate button. Here is how the Midsphere Radius of Deltoidal Hexecontahedron calculation can be explained with given input values -> 17.56231 = 3/20*(5+(3*sqrt(5)))*10.

FAQ

What is Midsphere Radius of Deltoidal Hexecontahedron?

Midsphere Radius of Deltoidal Hexecontahedron formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere and is represented as r_m = 3/20*(5+(3*sqrt(5)))*l_e(Long) or Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*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 Midsphere Radius of Deltoidal Hexecontahedron?

Midsphere Radius of Deltoidal Hexecontahedron formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere is calculated using Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron. To calculate Midsphere 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 Midsphere Radius of Deltoidal Hexecontahedron?

In this formula, Midsphere Radius of Deltoidal Hexecontahedron uses Long Edge of Deltoidal Hexecontahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))
Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205))
Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25)

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