Pentagram Chord of Small Stellated Dodecahedron given Circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))
lc(Pentagram) = (2+sqrt(5))*((4*rc)/(sqrt(50+22*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.
Circumradius of Small Stellated Dodecahedron - (Measured in Meter) - Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere.
STEP 1: Convert Input(s) to Base Unit
Circumradius of Small Stellated Dodecahedron: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lc(Pentagram) = (2+sqrt(5))*((4*rc)/(sqrt(50+22*sqrt(5)))) --> (2+sqrt(5))*((4*25)/(sqrt(50+22*sqrt(5))))
Evaluating ... ...
lc(Pentagram) = 42.532540417602
STEP 3: Convert Result to Output's Unit
42.532540417602 Meter --> No Conversion Required
FINAL ANSWER
42.532540417602 42.53254 Meter <-- Pentagram Chord of Small 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 Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

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 Circumradius Formula

Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))
lc(Pentagram) = (2+sqrt(5))*((4*rc)/(sqrt(50+22*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 Circumradius?

Pentagram Chord of Small Stellated Dodecahedron given Circumradius calculator uses Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))) to calculate the Pentagram Chord of Small Stellated Dodecahedron, Pentagram Chord of Small Stellated Dodecahedron given Circumradius 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 circumradius. Pentagram Chord of Small Stellated Dodecahedron is denoted by lc(Pentagram) symbol.

How to calculate Pentagram Chord of Small Stellated Dodecahedron given Circumradius using this online calculator? To use this online calculator for Pentagram Chord of Small Stellated Dodecahedron given Circumradius, enter Circumradius of Small Stellated Dodecahedron (rc) and hit the calculate button. Here is how the Pentagram Chord of Small Stellated Dodecahedron given Circumradius calculation can be explained with given input values -> 42.53254 = (2+sqrt(5))*((4*25)/(sqrt(50+22*sqrt(5)))).

FAQ

What is Pentagram Chord of Small Stellated Dodecahedron given Circumradius?
Pentagram Chord of Small Stellated Dodecahedron given Circumradius 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 circumradius and is represented as lc(Pentagram) = (2+sqrt(5))*((4*rc)/(sqrt(50+22*sqrt(5)))) or Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))). Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere.
How to calculate Pentagram Chord of Small Stellated Dodecahedron given Circumradius?
Pentagram Chord of Small Stellated Dodecahedron given Circumradius 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 circumradius is calculated using Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))). To calculate Pentagram Chord of Small Stellated Dodecahedron given Circumradius, you need Circumradius of Small Stellated Dodecahedron (rc). With our tool, you need to enter the respective value for Circumradius 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 Circumradius 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))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!