Pentagram Chord of Great Stellated Dodecahedron given Ridge Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
lc(Pentagram) = (2+sqrt(5))*(2*lRidge)/(1+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
Pentagram Chord of Great Stellated Dodecahedron - (Measured in Meter) - Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.
Ridge Length of Great Stellated Dodecahedron - (Measured in Meter) - Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Ridge Length of Great Stellated Dodecahedron: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lc(Pentagram) = (2+sqrt(5))*(2*lRidge)/(1+sqrt(5)) --> (2+sqrt(5))*(2*16)/(1+sqrt(5))
Evaluating ... ...
lc(Pentagram) = 41.8885438199983
STEP 3: Convert Result to Output's Unit
41.8885438199983 Meter --> No Conversion Required
FINAL ANSWER
41.8885438199983 41.88854 Meter <-- Pentagram Chord of Great Stellated Dodecahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

7 Pentagram Chord of Great Stellated Dodecahedron Calculators

Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area
Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))
Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio
Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron)
Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height
Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
Pentagram Chord of Great Stellated Dodecahedron given Circumradius
Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
Pentagram Chord of Great Stellated Dodecahedron given Volume
Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3)
Pentagram Chord of Great Stellated Dodecahedron given Ridge Length
Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pentagram Chord of Great Stellated Dodecahedron
Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Great Stellated Dodecahedron

Pentagram Chord of Great Stellated Dodecahedron given Ridge Length Formula

Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
lc(Pentagram) = (2+sqrt(5))*(2*lRidge)/(1+sqrt(5))

What is Great Stellated Dodecahedron?

The Great Stellated Dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {​⁵⁄₂,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.

How to Calculate Pentagram Chord of Great Stellated Dodecahedron given Ridge Length?

Pentagram Chord of Great Stellated Dodecahedron given Ridge Length calculator uses Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)) to calculate the Pentagram Chord of Great Stellated Dodecahedron, Pentagram Chord of Great Stellated Dodecahedron given Ridge Length formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its ridge length. Pentagram Chord of Great Stellated Dodecahedron is denoted by lc(Pentagram) symbol.

How to calculate Pentagram Chord of Great Stellated Dodecahedron given Ridge Length using this online calculator? To use this online calculator for Pentagram Chord of Great Stellated Dodecahedron given Ridge Length, enter Ridge Length of Great Stellated Dodecahedron (lRidge) and hit the calculate button. Here is how the Pentagram Chord of Great Stellated Dodecahedron given Ridge Length calculation can be explained with given input values -> 41.88854 = (2+sqrt(5))*(2*16)/(1+sqrt(5)).

FAQ

What is Pentagram Chord of Great Stellated Dodecahedron given Ridge Length?
Pentagram Chord of Great Stellated Dodecahedron given Ridge Length formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its ridge length and is represented as lc(Pentagram) = (2+sqrt(5))*(2*lRidge)/(1+sqrt(5)) or Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)). Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron.
How to calculate Pentagram Chord of Great Stellated Dodecahedron given Ridge Length?
Pentagram Chord of Great Stellated Dodecahedron given Ridge Length formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its ridge length is calculated using Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)). To calculate Pentagram Chord of Great Stellated Dodecahedron given Ridge Length, you need Ridge Length of Great Stellated Dodecahedron (lRidge). With our tool, you need to enter the respective value for Ridge Length of Great Stellated Dodecahedron 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 Pentagram Chord of Great Stellated Dodecahedron?
In this formula, Pentagram Chord of Great Stellated Dodecahedron uses Ridge Length of Great Stellated Dodecahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Great Stellated Dodecahedron
  • Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
  • Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
  • Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))
  • Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3)
  • Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!