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Edge length of Small Stellated Dodecahedron given circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = (4*Circumradius)/(sqrt(50+22*sqrt(5)))
L = (4*rc)/(sqrt(50+22*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
L = (4*rc)/(sqrt(50+22*sqrt(5))) --> (4*15)/(sqrt(50+22*sqrt(5)))
Evaluating ... ...
L = 6.02434247658682
STEP 3: Convert Result to Output's Unit
6.02434247658682 Meter --> No Conversion Required
FINAL ANSWER
6.02434247658682 Meter <-- Length
(Calculation completed in 00.000 seconds)

7 Edge length of Small Stellated Dodecahedron Calculators

Edge length of Small Stellated Dodecahedron given surface to volume ratio
length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio) Go
Edge length of Small Stellated Dodecahedron given surface area
length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5))))) Go
Edge length of Small Stellated Dodecahedron given circumradius
length = (4*Circumradius)/(sqrt(50+22*sqrt(5))) Go
Edge length of Small Stellated Dodecahedron given pyramid height
length = (5*Height)/(sqrt(25+10*sqrt(5))) Go
Edge length of Small Stellated Dodecahedron given volume
length = ((4*Volume)/(5*(7+3*sqrt(5))))^(1/3) Go
Edge length of Small Stellated Dodecahedron given ridge length
length = (2*Ridge Length 1)/(1+sqrt(5)) Go
Edge length of Small Stellated Dodecahedron given pentagram chord
length = Chord Length/(2+sqrt(5)) Go

Edge length of Small Stellated Dodecahedron given circumradius Formula

length = (4*Circumradius)/(sqrt(50+22*sqrt(5)))
L = (4*rc)/(sqrt(50+22*sqrt(5)))

What is Small Stellated Dodecahedron?

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

Edge length of Small Stellated Dodecahedron given circumradius calculator uses length = (4*Circumradius)/(sqrt(50+22*sqrt(5))) to calculate the Length, Edge length of Small Stellated Dodecahedron given circumradius formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron. Length and is denoted by L symbol.

How to calculate Edge length of Small Stellated Dodecahedron given circumradius using this online calculator? To use this online calculator for Edge length of Small Stellated Dodecahedron given circumradius, enter Circumradius (rc) and hit the calculate button. Here is how the Edge length of Small Stellated Dodecahedron given circumradius calculation can be explained with given input values -> 6.024342 = (4*15)/(sqrt(50+22*sqrt(5))).

FAQ

What is Edge length of Small Stellated Dodecahedron given circumradius?
Edge length of Small Stellated Dodecahedron given circumradius formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron and is represented as L = (4*rc)/(sqrt(50+22*sqrt(5))) or length = (4*Circumradius)/(sqrt(50+22*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 Small Stellated Dodecahedron given circumradius?
Edge length of Small Stellated Dodecahedron given circumradius formula is defined as a straight line connecting two vertices of Small Stellated Dodecahedron is calculated using length = (4*Circumradius)/(sqrt(50+22*sqrt(5))). To calculate Edge length of Small 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 Length?
In this formula, Length uses Circumradius. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • length = (2*Ridge Length 1)/(1+sqrt(5))
  • length = Chord Length/(2+sqrt(5))
  • length = (4*Circumradius)/(sqrt(50+22*sqrt(5)))
  • length = (5*Height)/(sqrt(25+10*sqrt(5)))
  • length = sqrt(Surface Area Polyhedron/(15*(sqrt(5+2*sqrt(5)))))
  • length = ((4*Volume)/(5*(7+3*sqrt(5))))^(1/3)
  • length = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*Surface to Volume Ratio)
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