Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
St Joseph's College (St Joseph's College), Bengaluru
Mona Gladys has verified this Calculator and 1000+ more calculators!

Edge length of Great Icosahedron given Circumsphere radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_edge = (4*Radius)/(sqrt(50+22*sqrt(5)))
a = (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
a = (4*r)/(sqrt(50+22*sqrt(5))) --> (4*0.18)/(sqrt(50+22*sqrt(5)))
Evaluating ... ...
a = 0.0722921097190418
STEP 3: Convert Result to Output's Unit
0.0722921097190418 Meter --> No Conversion Required
FINAL ANSWER
0.0722921097190418 Meter <-- Length of edge
(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

Lateral edge length of a Right square pyramid when side length and slant height are given
length_edge = sqrt(Side^2/2+(Slant Height^2-Side^2/4)) Go
Lateral edge length of a Right square pyramid when volume and side length is given
length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2) Go
Edge length (a) of Great Dodecahedron given Surface area (A)
length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5))))) Go
Edge length (a) of Great Dodecahedron given Pyramid height (hp)
length_edge = (6*Height)/(sqrt(3)*(3-sqrt(5))) Go
Edge length (a) of Great Dodecahedron given Circumsphere radius (rc)
length_edge = (4*Radius)/(sqrt(10+2*sqrt(5))) Go
Lateral edge length of a Right Square pyramid
length_edge = sqrt(Height^2+Length^2/2) Go
Edge length (a) of Great Dodecahedron given Volume (V)
length_edge = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3) Go
Edge length (a) of Great Dodecahedron given Ridge length (s)
length_edge = (2*length 1)/(sqrt(5)-1) Go
Edge of Regular Octahedron
length_edge = (3^(1/4))*sqrt(Area/18) Go
Edge of Tetrahedron
length_edge = sqrt(Area)/3^(1/4) Go
Edge length tetrahedron of truncated tetrahedron
length_edge = 3*Side Go

Edge length of Great Icosahedron given Circumsphere radius Formula

length_edge = (4*Radius)/(sqrt(50+22*sqrt(5)))
a = (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 Edge length of Great Icosahedron given Circumsphere radius?

Edge length of Great Icosahedron given Circumsphere radius calculator uses length_edge = (4*Radius)/(sqrt(50+22*sqrt(5))) to calculate the Length of edge, The Edge length of Great Icosahedron given Circumsphere radius formula is defined as a straight line connecting two vertices of Great Icosahedron. Length of edge and is denoted by a symbol.

How to calculate Edge length of Great Icosahedron given Circumsphere radius using this online calculator? To use this online calculator for Edge length of Great Icosahedron given Circumsphere radius, enter Radius (r) and hit the calculate button. Here is how the Edge length of Great Icosahedron given Circumsphere radius calculation can be explained with given input values -> 0.072292 = (4*0.18)/(sqrt(50+22*sqrt(5))).

FAQ

What is Edge length of Great Icosahedron given Circumsphere radius?
The Edge length of Great Icosahedron given Circumsphere radius formula is defined as a straight line connecting two vertices of Great Icosahedron and is represented as a = (4*r)/(sqrt(50+22*sqrt(5))) or length_edge = (4*Radius)/(sqrt(50+22*sqrt(5))). Radius is a radial line from the focus to any point of a curve.
How to calculate Edge length of Great Icosahedron given Circumsphere radius?
The Edge length of Great Icosahedron given Circumsphere radius formula is defined as a straight line connecting two vertices of Great Icosahedron is calculated using length_edge = (4*Radius)/(sqrt(50+22*sqrt(5))). To calculate Edge length 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 of edge?
In this formula, Length of edge uses Radius. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • length_edge = sqrt(Height^2+Length^2/2)
  • length_edge = sqrt(Side^2/2+(Slant Height^2-Side^2/4))
  • length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2)
  • length_edge = sqrt(Area)/3^(1/4)
  • length_edge = (3^(1/4))*sqrt(Area/18)
  • length_edge = 3*Side
  • length_edge = (2*length 1)/(sqrt(5)-1)
  • length_edge = (4*Radius)/(sqrt(10+2*sqrt(5)))
  • length_edge = (6*Height)/(sqrt(3)*(3-sqrt(5)))
  • length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5)))))
  • length_edge = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!