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ridge length (s) of Great Icosahedron given Circumsphere radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = ((1+sqrt(5))/2)*((4*Radius)/(sqrt(50+22*sqrt(5))))
l = ((1+sqrt(5))/2)*((4*r)/(sqrt(50+22*sqrt(5))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = ((1+sqrt(5))/2)*((4*r)/(sqrt(50+22*sqrt(5)))) --> ((1+sqrt(5))/2)*((4*0.18)/(sqrt(50+22*sqrt(5))))
Evaluating ... ...
l = 0.116971090643846
STEP 3: Convert Result to Output's Unit
0.116971090643846 Meter --> No Conversion Required
FINAL ANSWER
0.116971090643846 Meter <-- Length
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Base Surface Area of a Cone
base_surface_area = pi*Radius^2 Go
Top Surface Area of a Cylinder
top_surface_area = pi*Radius^2 Go
Area of a Circle when radius is given
area_of_circle = pi*Radius^2 Go
Volume of a Hemisphere
volume = (2/3)*pi*(Radius)^3 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go

11 Other formulas that calculate the same Output

Unbraced Member Length when Critical Bending Moment of Rectangular Beam is Given
length = (pi/Critical Bending Moment)*(sqrt(Modulus Of Elasticity*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional constant)) Go
Length over which Deformation Takes Place when Strain Energy in Shear is Given
length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) Go
Length of rectangle when diagonal and angle between two diagonal are given
length = Diagonal*sin(sinϑ/2) Go
Length of a rectangle in terms of diagonal and angle between diagonal and breadth
length = Diagonal*sin(sinϑ) Go
Length of rectangle when diagonal and breadth are given
length = sqrt(Diagonal^2-Breadth^2) Go
Length of rectangle when perimeter and breadth are given
length = (Perimeter-2*Breadth)/2 Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Length of the major axis of an ellipse (b>a)
length = 2*Major axis Go
Length of major axis of an ellipse (a>b)
length = 2*Major axis Go
Length of minor axis of an ellipse (a>b)
length = 2*Minor axis Go
Length of minor axis of an ellipse (b>a)
length = 2*Minor axis Go

ridge length (s) of Great Icosahedron given Circumsphere radius Formula

length = ((1+sqrt(5))/2)*((4*Radius)/(sqrt(50+22*sqrt(5))))
l = ((1+sqrt(5))/2)*((4*r)/(sqrt(50+22*sqrt(5))))

What is Great Icosahedron?

In geometry, the great icosahedron is one of four Kepler–Poinsot polyhedra, with Schläfli symbol {3, ​⁵⁄₂} and Coxeter–Dynkin diagram of. It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic sequence.

How to Calculate ridge length (s) of Great Icosahedron given Circumsphere radius?

ridge length (s) of Great Icosahedron given Circumsphere radius calculator uses length = ((1+sqrt(5))/2)*((4*Radius)/(sqrt(50+22*sqrt(5)))) to calculate the Length, The ridge length (s) of Great Icosahedron given Circumsphere radius formula is defined as measurement of a long, narrow crest of Great Icosahedron. Length and is denoted by l symbol.

How to calculate ridge length (s) of Great Icosahedron given Circumsphere radius using this online calculator? To use this online calculator for ridge length (s) of Great Icosahedron given Circumsphere radius, enter Radius (r) and hit the calculate button. Here is how the ridge length (s) of Great Icosahedron given Circumsphere radius calculation can be explained with given input values -> 0.116971 = ((1+sqrt(5))/2)*((4*0.18)/(sqrt(50+22*sqrt(5)))).

FAQ

What is ridge length (s) of Great Icosahedron given Circumsphere radius?
The ridge length (s) of Great Icosahedron given Circumsphere radius formula is defined as measurement of a long, narrow crest of Great Icosahedron and is represented as l = ((1+sqrt(5))/2)*((4*r)/(sqrt(50+22*sqrt(5)))) or length = ((1+sqrt(5))/2)*((4*Radius)/(sqrt(50+22*sqrt(5)))). Radius is a radial line from the focus to any point of a curve.
How to calculate ridge length (s) of Great Icosahedron given Circumsphere radius?
The ridge length (s) of Great Icosahedron given Circumsphere radius formula is defined as measurement of a long, narrow crest of Great Icosahedron is calculated using length = ((1+sqrt(5))/2)*((4*Radius)/(sqrt(50+22*sqrt(5)))). To calculate ridge length (s) of Great Icosahedron given Circumsphere radius, you need Radius (r). With our tool, you need to enter the respective value for Radius 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 Radius. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • length = sqrt(Diagonal^2-Breadth^2)
  • length = Area/Breadth
  • length = (Perimeter-2*Breadth)/2
  • length = Diagonal*sin(sinϑ)
  • length = Diagonal*sin(sinϑ/2)
  • length = 2*Major axis
  • length = 2*Major axis
  • length = 2*Minor axis
  • length = 2*Minor axis
  • length = (pi/Critical Bending Moment)*(sqrt(Modulus Of Elasticity*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional constant))
  • length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
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