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Base length of Pentakis Dodecahedron given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218)))
b = (2*ri)/(3*(sqrt((81+(35*sqrt(5)))/218)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = (2*ri)/(3*(sqrt((81+(35*sqrt(5)))/218))) --> (2*10)/(3*(sqrt((81+(35*sqrt(5)))/218)))
Evaluating ... ...
b = 7.7997447073711
STEP 3: Convert Result to Output's Unit
7.7997447073711 Meter --> No Conversion Required
FINAL ANSWER
7.7997447073711 Meter <-- Base
(Calculation completed in 00.000 seconds)

6 Base length of Pentakis Dodecahedron Calculators

Base length of Pentakis Dodecahedron given surface to volume ratio
base = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio*(sqrt(23+(11*sqrt(5))))) Go
Base length of Pentakis Dodecahedron given surface area
base = sqrt((19*Surface Area)/(15*(sqrt(413+(162*sqrt(5)))))) Go
Base length of Pentakis Dodecahedron given inradius
base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218))) Go
Base length of Pentakis Dodecahedron given volume
base = (((76*Volume)/(15*(23+(11*sqrt(5)))))^(1/3)) Go
Base length of Pentakis Dodecahedron given leg length
base = (38*Length)/(3*(9+sqrt(5))) Go
Base length of Pentakis Dodecahedron given midradius
base = (4*Midradius)/(3+sqrt(5)) Go

Base length of Pentakis Dodecahedron given inradius Formula

base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218)))
b = (2*ri)/(3*(sqrt((81+(35*sqrt(5)))/218)))

What are practical examples of Pentakis Dodecahedron?

The Spaceship Earth structure at Walt Disney World's Epcot is a derivative of a pentakis dodecahedron. The model for a campus arts workshop designed by Jeffrey Lindsay was actually a hemispherical pentakis dodecahedron. The shape of the "Crystal Dome" used in the popular TV game show The Crystal Maze was based on a pentakis dodecahedron. In Doctor Atomic, the shape of the first atomic bomb detonated in New Mexico was a pentakis dodecahedron. In De Blob 2 in the Prison Zoo, domes are made up of parts of a Pentakis Dodecahedron. These Domes also appear whenever the player transforms on a dome in the Hypno Ray level.

How to Calculate Base length of Pentakis Dodecahedron given inradius?

Base length of Pentakis Dodecahedron given inradius calculator uses base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218))) to calculate the Base, Base length of Pentakis Dodecahedron given inradius formula is defined asa straight line joining two adjacent vertices of base of Pentakis Dodecahedron. Where, side_a = Base length (a). Base and is denoted by b symbol.

How to calculate Base length of Pentakis Dodecahedron given inradius using this online calculator? To use this online calculator for Base length of Pentakis Dodecahedron given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Base length of Pentakis Dodecahedron given inradius calculation can be explained with given input values -> 7.799745 = (2*10)/(3*(sqrt((81+(35*sqrt(5)))/218))).

FAQ

What is Base length of Pentakis Dodecahedron given inradius?
Base length of Pentakis Dodecahedron given inradius formula is defined asa straight line joining two adjacent vertices of base of Pentakis Dodecahedron. Where, side_a = Base length (a) and is represented as b = (2*ri)/(3*(sqrt((81+(35*sqrt(5)))/218))) or base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218))). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Base length of Pentakis Dodecahedron given inradius?
Base length of Pentakis Dodecahedron given inradius formula is defined asa straight line joining two adjacent vertices of base of Pentakis Dodecahedron. Where, side_a = Base length (a) is calculated using base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218))). To calculate Base length of Pentakis Dodecahedron given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Base?
In this formula, Base uses Inradius. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • base = (38*Length)/(3*(9+sqrt(5)))
  • base = sqrt((19*Surface Area)/(15*(sqrt(413+(162*sqrt(5))))))
  • base = (((76*Volume)/(15*(23+(11*sqrt(5)))))^(1/3))
  • base = (4*Midradius)/(3+sqrt(5))
  • base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218)))
  • base = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio*(sqrt(23+(11*sqrt(5)))))
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