Pentagram Chord of Small Stellated Dodecahedron given Ridge Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small 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 Small Stellated Dodecahedron - (Measured in Meter) - Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.
Ridge Length of Small Stellated Dodecahedron - (Measured in Meter) - Ridge Length of Small Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Small Stellated Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Ridge Length of Small 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 Small Stellated Dodecahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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7 Pentagram Chord of Small Stellated Dodecahedron Calculators

Pentagram Chord of Small Stellated Dodecahedron given Surface to Volume Ratio
Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron))
Pentagram Chord of Small Stellated Dodecahedron given Total Surface Area
Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*sqrt(5+2*sqrt(5)))))
Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height
Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))
Pentagram Chord of Small Stellated Dodecahedron given Circumradius
Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))
Pentagram Chord of Small Stellated Dodecahedron given Volume
Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3))
Pentagram Chord of Small Stellated Dodecahedron given Ridge Length
Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))
Pentagram Chord of Small Stellated Dodecahedron
Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Small Stellated Dodecahedron

Pentagram Chord of Small Stellated Dodecahedron given Ridge Length Formula

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

What is Small Stellated Dodecahedron?

The Small Stellated Dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.

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

Pentagram Chord of Small Stellated Dodecahedron given Ridge Length calculator uses Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5))) to calculate the Pentagram Chord of Small Stellated Dodecahedron, Pentagram Chord of Small 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 Small Stellated Dodecahedron, calculated using its ridge length. Pentagram Chord of Small Stellated Dodecahedron is denoted by lc(Pentagram) symbol.

How to calculate Pentagram Chord of Small Stellated Dodecahedron given Ridge Length using this online calculator? To use this online calculator for Pentagram Chord of Small Stellated Dodecahedron given Ridge Length, enter Ridge Length of Small Stellated Dodecahedron (lRidge) and hit the calculate button. Here is how the Pentagram Chord of Small 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 Small Stellated Dodecahedron given Ridge Length?
Pentagram Chord of Small 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 Small 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 Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5))). Ridge Length of Small Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Small Stellated Dodecahedron.
How to calculate Pentagram Chord of Small Stellated Dodecahedron given Ridge Length?
Pentagram Chord of Small 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 Small Stellated Dodecahedron, calculated using its ridge length is calculated using Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5))). To calculate Pentagram Chord of Small Stellated Dodecahedron given Ridge Length, you need Ridge Length of Small Stellated Dodecahedron (lRidge). With our tool, you need to enter the respective value for Ridge Length of Small 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 Small Stellated Dodecahedron?
In this formula, Pentagram Chord of Small Stellated Dodecahedron uses Ridge Length of Small Stellated Dodecahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Small Stellated Dodecahedron
  • Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))
  • Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))
  • Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*sqrt(5+2*sqrt(5)))))
  • Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3))
  • Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron))
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