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ridge length (s) of Great Icosahedron given Surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = ((1+sqrt(5))/2)*(sqrt(Area/(sqrt(3*sqrt(3)*(5+4*sqrt(5))))))
l = ((1+sqrt(5))/2)*(sqrt(A/(sqrt(3*sqrt(3)*(5+4*sqrt(5))))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = ((1+sqrt(5))/2)*(sqrt(A/(sqrt(3*sqrt(3)*(5+4*sqrt(5)))))) --> ((1+sqrt(5))/2)*(sqrt(50/(sqrt(3*sqrt(3)*(5+4*sqrt(5))))))
Evaluating ... ...
l = 3.9215089559704
STEP 3: Convert Result to Output's Unit
3.9215089559704 Meter --> No Conversion Required
FINAL ANSWER
3.9215089559704 Meter <-- Length
(Calculation completed in 00.015 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Breadth of rectangle when area and length are given
breadth = Area/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area 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 Surface area Formula

length = ((1+sqrt(5))/2)*(sqrt(Area/(sqrt(3*sqrt(3)*(5+4*sqrt(5))))))
l = ((1+sqrt(5))/2)*(sqrt(A/(sqrt(3*sqrt(3)*(5+4*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 Surface area?

ridge length (s) of Great Icosahedron given Surface area calculator uses length = ((1+sqrt(5))/2)*(sqrt(Area/(sqrt(3*sqrt(3)*(5+4*sqrt(5)))))) to calculate the Length, The ridge length (s) of Great Icosahedron given Surface area 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 Surface area using this online calculator? To use this online calculator for ridge length (s) of Great Icosahedron given Surface area, enter Area (A) and hit the calculate button. Here is how the ridge length (s) of Great Icosahedron given Surface area calculation can be explained with given input values -> 3.921509 = ((1+sqrt(5))/2)*(sqrt(50/(sqrt(3*sqrt(3)*(5+4*sqrt(5)))))).

FAQ

What is ridge length (s) of Great Icosahedron given Surface area?
The ridge length (s) of Great Icosahedron given Surface area formula is defined as measurement of a long, narrow crest of Great Icosahedron and is represented as l = ((1+sqrt(5))/2)*(sqrt(A/(sqrt(3*sqrt(3)*(5+4*sqrt(5)))))) or length = ((1+sqrt(5))/2)*(sqrt(Area/(sqrt(3*sqrt(3)*(5+4*sqrt(5)))))). The area is the amount of two-dimensional space taken up by an object.
How to calculate ridge length (s) of Great Icosahedron given Surface area?
The ridge length (s) of Great Icosahedron given Surface area formula is defined as measurement of a long, narrow crest of Great Icosahedron is calculated using length = ((1+sqrt(5))/2)*(sqrt(Area/(sqrt(3*sqrt(3)*(5+4*sqrt(5)))))). To calculate ridge length (s) of Great Icosahedron given Surface area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Area. 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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