Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Calculator

✖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.ⓘ Pentagram Chord of Great Stellated Dodecahedron [l_c(Pentagram)]

+10%

-10%

✖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.ⓘ Ridge Length of Great Stellated Dodecahedron given Pentagram Chord [l_Ridge]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Pentagram Chord of Great Stellated Dodecahedron: 42 Meter --> 42 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Ridge = (1+sqrt(5))/2*l_c(Pentagram)/(2+sqrt(5)) --> (1+sqrt(5))/2*42/(2+sqrt(5))

Evaluating ... ...

l_Ridge = 16.0425724725044

STEP 3: Convert Result to Output's Unit

16.0425724725044 Meter --> No Conversion Required

FINAL ANSWER

16.0425724725044 ≈ 16.04257 Meter <-- Ridge Length of Great Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Great Stellated Dodecahedron » Length of Great Stellated Dodecahedron » Ridge Length of Great Stellated Dodecahedron » Ridge Length of Great Stellated Dodecahedron given Pentagram Chord

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!

< Ridge Length of Great Stellated Dodecahedron Calculators

Ridge Length of Great Stellated Dodecahedron given Pyramidal Height

LaTeX Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Ridge Length of Great Stellated Dodecahedron given Circumradius

LaTeX Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord

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

Ridge Length of Great Stellated Dodecahedron

LaTeX Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Edge Length of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Formula

LaTeX Go

Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
l_Ridge = (1+sqrt(5))/2*l_c(Pentagram)/(2+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 Ridge Length of Great Stellated Dodecahedron given Pentagram Chord?

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord calculator uses Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)) to calculate the Ridge Length of Great Stellated Dodecahedron, Ridge Length of Great Stellated Dodecahedron given Pentagram Chord formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its pentagram chord. Ridge Length of Great Stellated Dodecahedron is denoted by l_Ridge symbol.

How to calculate Ridge Length of Great Stellated Dodecahedron given Pentagram Chord using this online calculator? To use this online calculator for Ridge Length of Great Stellated Dodecahedron given Pentagram Chord, enter Pentagram Chord of Great Stellated Dodecahedron (l_c(Pentagram)) and hit the calculate button. Here is how the Ridge Length of Great Stellated Dodecahedron given Pentagram Chord calculation can be explained with given input values -> 16.04257 = (1+sqrt(5))/2*42/(2+sqrt(5)).

FAQ

What is Ridge Length of Great Stellated Dodecahedron given Pentagram Chord?

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its pentagram chord and is represented as l_Ridge = (1+sqrt(5))/2*l_c(Pentagram)/(2+sqrt(5)) or Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)). 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.

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

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its pentagram chord is calculated using Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)). To calculate Ridge Length of Great Stellated Dodecahedron given Pentagram Chord, you need Pentagram Chord of Great Stellated Dodecahedron (l_c(Pentagram)). With our tool, you need to enter the respective value for Pentagram Chord 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 Ridge Length of Great Stellated Dodecahedron?

In this formula, Ridge Length of Great Stellated Dodecahedron uses Pentagram Chord of Great Stellated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Edge Length of Great Stellated Dodecahedron
Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Home

FREE PDFs

🔍 Search