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Circumsphere Radius of Icosidodecahedron given Triangular Face Area Formula

GoCircumsphere Radius of Icosidodecahedron Formula

GoCircumsphere Radius of Icosidodecahedron given Total Surface Area Formula

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Circumsphere Radius of Icosidodecahedron is the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = (1 + \sqrt{5}) \cdot \sqrt{\frac{A Triangle}{\sqrt{3}}}

r_c - Circumsphere Radius of Icosidodecahedron?A_Triangle - Triangular Face Area of Icosidodecahedron?

Circumsphere Radius of Icosidodecahedron given Triangular Face Area Example

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Here is how the Circumsphere Radius of Icosidodecahedron given Triangular Face Area equation looks like with Values.

Here is how the Circumsphere Radius of Icosidodecahedron given Triangular Face Area equation looks like with Units.

Here is how the Circumsphere Radius of Icosidodecahedron given Triangular Face Area equation looks like.

16.4947 = (1 + \sqrt{5}) \cdot \sqrt{\frac{45}{\sqrt{3}}}

16.4947m = (1 + \sqrt{5}) \cdot \sqrt{\frac{45m²}{\sqrt{3}}}

16.4947 = (1 + \sqrt{5}) \cdot \sqrt{\frac{45}{\sqrt{3}}}

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Circumsphere Radius of Icosidodecahedron given Triangular Face Area Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Icosidodecahedron given Triangular Face Area?

FIRST Step Consider the formula

r c = (1 + \sqrt{5}) \cdot \sqrt{\frac{A Triangle}{\sqrt{3}}}

Next Step Substitute values of Variables

∴

r c = (1 + \sqrt{5}) \cdot \sqrt{\frac{45m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

r c = (1 + \sqrt{5}) \cdot \sqrt{\frac{45}{\sqrt{3}}}

Next Step Evaluate

∴

r c = 16.4946680193153m

LAST Step Rounding Answer

∴

r c = 16.4947m

Circumsphere Radius of Icosidodecahedron given Triangular Face Area Formula Elements

Variables

Functions

Circumsphere Radius of Icosidodecahedron

Circumsphere Radius of Icosidodecahedron is the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Icosidodecahedron

Triangular Face Area of Icosidodecahedron

Triangular Face Area of Icosidodecahedron is the total quantity of two dimensional space enclosed on any of the triangular faces of the Icosidodecahedron.

Symbol: A_Triangle

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Triangular Face Area of Icosidodecahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Circumsphere Radius of Icosidodecahedron

Go Circumsphere Radius of Icosidodecahedron

r c = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Circumsphere Radius of Icosidodecahedron given Total Surface Area

r c = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Circumsphere Radius of Icosidodecahedron given Volume

r c = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Circumsphere Radius of Icosidodecahedron given Midsphere Radius

r c = \frac{1 + \sqrt{5}}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot r m

How to Evaluate Circumsphere Radius of Icosidodecahedron given Triangular Face Area?

Circumsphere Radius of Icosidodecahedron given Triangular Face Area evaluator uses Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*sqrt(Triangular Face Area of Icosidodecahedron/sqrt(3)) to evaluate the Circumsphere Radius of Icosidodecahedron, Circumsphere Radius of Icosidodecahedron given Triangular Face Area formula is defined as the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the triangular face area of the Icosidodecahedron. Circumsphere Radius of Icosidodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Icosidodecahedron given Triangular Face Area using this online evaluator? To use this online evaluator for Circumsphere Radius of Icosidodecahedron given Triangular Face Area, enter Triangular Face Area of Icosidodecahedron (A_Triangle) and hit the calculate button.

FAQs on Circumsphere Radius of Icosidodecahedron given Triangular Face Area

What is the formula to find Circumsphere Radius of Icosidodecahedron given Triangular Face Area?

The formula of Circumsphere Radius of Icosidodecahedron given Triangular Face Area is expressed as Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*sqrt(Triangular Face Area of Icosidodecahedron/sqrt(3)). Here is an example- 16.49467 = (1+sqrt(5))*sqrt(45/sqrt(3)).

How to calculate Circumsphere Radius of Icosidodecahedron given Triangular Face Area?

With Triangular Face Area of Icosidodecahedron (A_Triangle) we can find Circumsphere Radius of Icosidodecahedron given Triangular Face Area using the formula - Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*sqrt(Triangular Face Area of Icosidodecahedron/sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Icosidodecahedron?

Here are the different ways to Calculate Circumsphere Radius of Icosidodecahedron-

Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*Edge Length of Icosidodecahedron
Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)

Can the Circumsphere Radius of Icosidodecahedron given Triangular Face Area be negative?

No, the Circumsphere Radius of Icosidodecahedron given Triangular Face Area, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Icosidodecahedron given Triangular Face Area?

Circumsphere Radius of Icosidodecahedron given Triangular Face Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumsphere Radius of Icosidodecahedron given Triangular Face Area can be measured.

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