Circumsphere Radius of Great Icosahedron given Mid Ridge Length Calculator

✖Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.ⓘ Mid Ridge Length of Great Icosahedron [l_Ridge(Mid)]

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✖Circumsphere Radius of Great Icosahedron is the radius of the sphere that contains the Great Icosahedron in such a way that all the peak vertices are lying on the sphere.ⓘ Circumsphere Radius of Great Icosahedron given Mid Ridge Length [r_c]

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Circumsphere Radius of Great Icosahedron given Mid Ridge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
r_c = sqrt(50+(22*sqrt(5)))/4*(2*l_Ridge(Mid))/(1+sqrt(5))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circumsphere Radius of Great Icosahedron - (Measured in Meter) - Circumsphere Radius of Great Icosahedron is the radius of the sphere that contains the Great Icosahedron in such a way that all the peak vertices are lying on the sphere.
Mid Ridge Length of Great Icosahedron - (Measured in Meter) - Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.

STEP 1: Convert Input(s) to Base Unit

Mid Ridge Length of Great Icosahedron: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(50+(22*sqrt(5)))/4*(2*l_Ridge(Mid))/(1+sqrt(5)) --> sqrt(50+(22*sqrt(5)))/4*(2*16)/(1+sqrt(5))

Evaluating ... ...

r_c = 24.621468297402

STEP 3: Convert Result to Output's Unit

24.621468297402 Meter --> No Conversion Required

FINAL ANSWER

24.621468297402 ≈ 24.62147 Meter <-- Circumsphere Radius of Great Icosahedron

(Calculation completed in 00.004 seconds)

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< Radius of Great Icosahedron Calculators

Circumsphere Radius of Great Icosahedron given Long Ridge Length

LaTeX Go Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))

Circumsphere Radius of Great Icosahedron given Mid Ridge Length

LaTeX Go Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))

Circumsphere Radius of Great Icosahedron given Short Ridge Length

LaTeX Go Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

Circumsphere Radius of Great Icosahedron

LaTeX Go Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*Edge Length of Great Icosahedron

Circumsphere Radius of Great Icosahedron given Mid Ridge Length Formula

LaTeX Go

Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
r_c = sqrt(50+(22*sqrt(5)))/4*(2*l_Ridge(Mid))/(1+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 Circumsphere Radius of Great Icosahedron given Mid Ridge Length?

Circumsphere Radius of Great Icosahedron given Mid Ridge Length calculator uses Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)) to calculate the Circumsphere Radius of Great Icosahedron, Circumsphere Radius of Great Icosahedron given Mid Ridge Length formula is defined as the radius of the sphere that contains the Great Icosahedron in such a way that all the vertices are lying on the sphere, calculated using Mid ridge length. Circumsphere Radius of Great Icosahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Great Icosahedron given Mid Ridge Length using this online calculator? To use this online calculator for Circumsphere Radius of Great Icosahedron given Mid Ridge Length, enter Mid Ridge Length of Great Icosahedron (l_Ridge(Mid)) and hit the calculate button. Here is how the Circumsphere Radius of Great Icosahedron given Mid Ridge Length calculation can be explained with given input values -> 24.62147 = sqrt(50+(22*sqrt(5)))/4*(2*16)/(1+sqrt(5)).

FAQ

What is Circumsphere Radius of Great Icosahedron given Mid Ridge Length?

Circumsphere Radius of Great Icosahedron given Mid Ridge Length formula is defined as the radius of the sphere that contains the Great Icosahedron in such a way that all the vertices are lying on the sphere, calculated using Mid ridge length and is represented as r_c = sqrt(50+(22*sqrt(5)))/4*(2*l_Ridge(Mid))/(1+sqrt(5)) or Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)). Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.

How to calculate Circumsphere Radius of Great Icosahedron given Mid Ridge Length?

Circumsphere Radius of Great Icosahedron given Mid Ridge Length formula is defined as the radius of the sphere that contains the Great Icosahedron in such a way that all the vertices are lying on the sphere, calculated using Mid ridge length is calculated using Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)). To calculate Circumsphere Radius of Great Icosahedron given Mid Ridge Length, you need Mid Ridge Length of Great Icosahedron (l_Ridge(Mid)). With our tool, you need to enter the respective value for Mid Ridge Length of Great Icosahedron 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 Circumsphere Radius of Great Icosahedron?

In this formula, Circumsphere Radius of Great Icosahedron uses Mid Ridge Length of Great Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*Edge Length of Great Icosahedron
Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))
Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

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