Ridge Length of Great Stellated Dodecahedron given Circumradius Calculator

✖Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.ⓘ Circumradius of Great Stellated Dodecahedron [r_c]

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✖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 Circumradius [l_Ridge]

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Ridge Length of Great Stellated Dodecahedron given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
l_Ridge = (1+sqrt(5))/2*(4*r_c)/(sqrt(3)*(3+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.
Circumradius of Great Stellated Dodecahedron - (Measured in Meter) - Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Great Stellated Dodecahedron: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Ridge = (1+sqrt(5))/2*(4*r_c)/(sqrt(3)*(3+sqrt(5))) --> (1+sqrt(5))/2*(4*23)/(sqrt(3)*(3+sqrt(5)))

Evaluating ... ...

l_Ridge = 16.4138161295621

STEP 3: Convert Result to Output's Unit

16.4138161295621 Meter --> No Conversion Required

FINAL ANSWER

16.4138161295621 ≈ 16.41382 Meter <-- Ridge Length of Great Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< 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 Circumradius Formula

LaTeX Go

Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
l_Ridge = (1+sqrt(5))/2*(4*r_c)/(sqrt(3)*(3+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 Circumradius?

Ridge Length of Great Stellated Dodecahedron given Circumradius calculator uses Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))) to calculate the Ridge Length of Great Stellated Dodecahedron, Ridge Length of Great Stellated Dodecahedron given Circumradius 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 circumradius. Ridge Length of Great Stellated Dodecahedron is denoted by l_Ridge symbol.

How to calculate Ridge Length of Great Stellated Dodecahedron given Circumradius using this online calculator? To use this online calculator for Ridge Length of Great Stellated Dodecahedron given Circumradius, enter Circumradius of Great Stellated Dodecahedron (r_c) and hit the calculate button. Here is how the Ridge Length of Great Stellated Dodecahedron given Circumradius calculation can be explained with given input values -> 16.41382 = (1+sqrt(5))/2*(4*23)/(sqrt(3)*(3+sqrt(5))).

FAQ

What is Ridge Length of Great Stellated Dodecahedron given Circumradius?

Ridge Length of Great Stellated Dodecahedron given Circumradius 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 circumradius and is represented as l_Ridge = (1+sqrt(5))/2*(4*r_c)/(sqrt(3)*(3+sqrt(5))) or Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.

How to calculate Ridge Length of Great Stellated Dodecahedron given Circumradius?

Ridge Length of Great Stellated Dodecahedron given Circumradius 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 circumradius is calculated using Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). To calculate Ridge Length of Great Stellated Dodecahedron given Circumradius, you need Circumradius of Great Stellated Dodecahedron (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius 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*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

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