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Edge length of Great Stellated Dodecahedron given circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5)))
Sa = (4*rc)/(sqrt(3)*(3+sqrt(5)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Circumradius - Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Circumradius: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = (4*rc)/(sqrt(3)*(3+sqrt(5))) --> (4*15)/(sqrt(3)*(3+sqrt(5)))
Evaluating ... ...
Sa = 6.61584538249608
STEP 3: Convert Result to Output's Unit
6.61584538249608 Meter --> No Conversion Required
FINAL ANSWER
6.61584538249608 Meter <-- Side A
(Calculation completed in 00.000 seconds)

7 Edge length of Great Stellated Dodecahedron Calculators

Edge length of Great Stellated Dodecahedron given surface to volume ratio
side_a = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio) Go
Edge length of Great Stellated Dodecahedron given surface area
side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5))))) Go
Edge length of Great Stellated Dodecahedron given circumradius
side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5))) Go
Edge length of Great Stellated Dodecahedron given pyramid height
side_a = (6*Height)/(sqrt(3)*(3+sqrt(5))) Go
Edge length of Great Stellated Dodecahedron given volume
side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3) Go
Edge length of Great Stellated Dodecahedron given ridge length
side_a = (2*Ridge Length 1)/(1+sqrt(5)) Go
Edge length of Great Stellated Dodecahedron given pentagram chord
side_a = Chord Length/(2+sqrt(5)) Go

Edge length of Great Stellated Dodecahedron given circumradius Formula

side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5)))
Sa = (4*rc)/(sqrt(3)*(3+sqrt(5)))

What is Great Stellated Dodecahedron?

In geometry, 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 Edge length of Great Stellated Dodecahedron given circumradius?

Edge length of Great Stellated Dodecahedron given circumradius calculator uses side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5))) to calculate the Side A, Edge length of Great Stellated Dodecahedron given circumradius formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of Great Stellated Dodecahedron given circumradius using this online calculator? To use this online calculator for Edge length of Great Stellated Dodecahedron given circumradius, enter Circumradius (rc) and hit the calculate button. Here is how the Edge length of Great Stellated Dodecahedron given circumradius calculation can be explained with given input values -> 6.615845 = (4*15)/(sqrt(3)*(3+sqrt(5))).

FAQ

What is Edge length of Great Stellated Dodecahedron given circumradius?
Edge length of Great Stellated Dodecahedron given circumradius formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron and is represented as Sa = (4*rc)/(sqrt(3)*(3+sqrt(5))) or side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5))). Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices.
How to calculate Edge length of Great Stellated Dodecahedron given circumradius?
Edge length of Great Stellated Dodecahedron given circumradius formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron is calculated using side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5))). To calculate Edge length of Great Stellated Dodecahedron given circumradius, you need Circumradius (rc). With our tool, you need to enter the respective value for Circumradius 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 Side A?
In this formula, Side A uses Circumradius. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • side_a = (2*Ridge Length 1)/(1+sqrt(5))
  • side_a = Chord Length/(2+sqrt(5))
  • side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5)))
  • side_a = (6*Height)/(sqrt(3)*(3+sqrt(5)))
  • side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5)))))
  • side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3)
  • side_a = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio)
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