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
rm = 3/20*(5+(3*sqrt(5)))*le(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
rm = 3/20*(5+(3*sqrt(5)))*le(Long) --> 3/20*(5+(3*sqrt(5)))*10
Evaluating ... ...
rm = 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 00.004 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Midsphere Radius of Deltoidal Hexecontahedron Calculators

Midsphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal
​ LaTeX ​ 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 Symmetry Diagonal
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron

Midsphere Radius of Deltoidal Hexecontahedron Formula

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