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Circumsphere Radius of Great Icosahedron given Total Surface Area Formula

GoCircumsphere Radius of Great Icosahedron Formula

GoCircumsphere Radius of Great Icosahedron given Mid Ridge Length Formula

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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. Check FAQs

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

r_c - Circumsphere Radius of Great Icosahedron?TSA - Total Surface Area of Great Icosahedron?

Circumsphere Radius of Great Icosahedron given Total Surface Area Example

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Here is how the Circumsphere Radius of Great Icosahedron given Total Surface Area equation looks like with Values.

Here is how the Circumsphere Radius of Great Icosahedron given Total Surface Area equation looks like with Units.

Here is how the Circumsphere Radius of Great Icosahedron given Total Surface Area equation looks like.

24.8204 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

24.8204m = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7200m²}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

24.8204 = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

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Circumsphere Radius of Great Icosahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Great Icosahedron given Total Surface Area?

FIRST Step Consider the formula

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7200m²}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Evaluate

∴

r c = 24.8204123216201m

LAST Step Rounding Answer

∴

r c = 24.8204m

Circumsphere Radius of Great Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Circumsphere Radius of Great Icosahedron

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.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Great Icosahedron

Total Surface Area of Great Icosahedron

Total Surface Area of Great Icosahedron is the total quantity of plane enclosed on the entire surface of the Great Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great Icosahedron

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 Great Icosahedron

Go Circumsphere Radius of Great Icosahedron

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Great Icosahedron given Mid Ridge Length

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Circumsphere Radius of Great Icosahedron given Long Ridge Length

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

Go Circumsphere Radius of Great Icosahedron given Short Ridge Length

r c = \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4} \cdot \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

How to Evaluate Circumsphere Radius of Great Icosahedron given Total Surface Area?

Circumsphere Radius of Great Icosahedron given Total Surface Area evaluator uses Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))) to evaluate the Circumsphere Radius of Great Icosahedron, Circumsphere Radius of Great Icosahedron given Total Surface Area 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 total surface area. Circumsphere Radius of Great Icosahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Great Icosahedron given Total Surface Area using this online evaluator? To use this online evaluator for Circumsphere Radius of Great Icosahedron given Total Surface Area, enter Total Surface Area of Great Icosahedron (TSA) and hit the calculate button.

FAQs on Circumsphere Radius of Great Icosahedron given Total Surface Area

What is the formula to find Circumsphere Radius of Great Icosahedron given Total Surface Area?

The formula of Circumsphere Radius of Great Icosahedron given Total Surface Area is expressed as Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))). Here is an example- 24.82041 = sqrt(50+(22*sqrt(5)))/4*sqrt(7200/(3*sqrt(3)*(5+(4*sqrt(5))))).

How to calculate Circumsphere Radius of Great Icosahedron given Total Surface Area?

With Total Surface Area of Great Icosahedron (TSA) we can find Circumsphere Radius of Great Icosahedron given Total Surface Area using the formula - Circumsphere Radius of Great Icosahedron = sqrt(50+(22*sqrt(5)))/4*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Great Icosahedron?

Here are the different ways to Calculate Circumsphere Radius of Great Icosahedron-

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*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Circumsphere Radius of Great Icosahedron=sqrt(50+(22*sqrt(5)))/4*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))

Can the Circumsphere Radius of Great Icosahedron given Total Surface Area be negative?

No, the Circumsphere Radius of Great Icosahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Great Icosahedron given Total Surface Area?

Circumsphere Radius of Great Icosahedron given Total Surface 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 Great Icosahedron given Total Surface Area can be measured.

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