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Total Surface Area of Great Icosahedron given Circumsphere Radius Formula

GoTotal Surface Area of Great Icosahedron Formula

GoTotal Surface Area of Great Icosahedron given Mid Ridge Length Formula

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

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{2}

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

Total Surface Area of Great Icosahedron given Circumsphere Radius Example

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

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

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

7304.5679 = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{2}

7304.5679m² = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 25m}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{2}

7304.5679 = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{2}

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Total Surface Area of Great Icosahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{2}

Next Step Substitute values of Variables

∴

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 25m}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{2}

Next Step Evaluate

∴

TSA = 7304.56789521781m²

LAST Step Rounding Answer

∴

TSA = 7304.5679m²

Total Surface Area of Great Icosahedron given Circumsphere Radius Formula Elements

Variables

Functions

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

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

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 Total Surface Area of Great Icosahedron

Go Total Surface Area of Great Icosahedron

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {l e}^{2}

Go Total Surface Area of Great Icosahedron given Mid Ridge Length

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}})}^{2}

Go Total Surface Area of Great Icosahedron given Long Ridge Length

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{2}

Go Total Surface Area of Great Icosahedron given Short Ridge Length

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{5 \cdot l Ridge(Short)}{\sqrt{10}})}^{2}

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

Total Surface Area of Great Icosahedron given Circumsphere Radius evaluator uses Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*((4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))))^2 to evaluate the Total Surface Area of Great Icosahedron, Total Surface Area of Great Icosahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Great Icosahedron, calculated using circumsphere radius. Total Surface Area of Great Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Icosahedron given Circumsphere Radius

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

The formula of Total Surface Area of Great Icosahedron given Circumsphere Radius is expressed as Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*((4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))))^2. Here is an example- 7304.568 = 3*sqrt(3)*(5+4*sqrt(5))*((4*25)/(sqrt(50+(22*sqrt(5)))))^2.

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

With Circumsphere Radius of Great Icosahedron (r_c) we can find Total Surface Area of Great Icosahedron given Circumsphere Radius using the formula - Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*((4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))))^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Great Icosahedron?

Here are the different ways to Calculate Total Surface Area of Great Icosahedron-

Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*Edge Length of Great Icosahedron^2
Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*((2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)))^2
Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*((10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))))^2

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

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

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

Total Surface Area of Great Icosahedron given Circumsphere Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Great Icosahedron given Circumsphere Radius can be measured.

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