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Total Surface Area of Small Stellated Dodecahedron given Circumradius Formula

GoTotal Surface Area of Small Stellated Dodecahedron Formula

GoTotal Surface Area of Small Stellated Dodecahedron given Ridge Length Formula

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Total Surface Area of Small Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Small Stellated Dodecahedron. Check FAQs

TSA = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{2})

TSA - Total Surface Area of Small Stellated Dodecahedron?r_c - Circumradius of Small Stellated Dodecahedron?

Total Surface Area of Small Stellated Dodecahedron given Circumradius Example

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Here is how the Total Surface Area of Small Stellated Dodecahedron given Circumradius equation looks like with Values.

Here is how the Total Surface Area of Small Stellated Dodecahedron given Circumradius equation looks like with Units.

Here is how the Total Surface Area of Small Stellated Dodecahedron given Circumradius equation looks like.

4654.0605 = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{2})

4654.0605m² = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{4 \cdot 25m}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{2})

4654.0605 = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{2})

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Total Surface Area of Small Stellated Dodecahedron given Circumradius Solution

Follow our step by step solution on how to calculate Total Surface Area of Small Stellated Dodecahedron given Circumradius?

FIRST Step Consider the formula

TSA = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{2})

Next Step Substitute values of Variables

∴

TSA = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{4 \cdot 25m}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{2})

Next Step Evaluate

∴

TSA = 4654.06051300047m²

LAST Step Rounding Answer

∴

TSA = 4654.0605m²

Total Surface Area of Small Stellated Dodecahedron given Circumradius Formula Elements

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Total Surface Area of Small Stellated Dodecahedron

Total Surface Area of Small Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Small Stellated Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Small Stellated Dodecahedron

Circumradius of Small Stellated Dodecahedron

Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Small Stellated Dodecahedron

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 Small Stellated Dodecahedron

Go Total Surface Area of Small Stellated Dodecahedron

TSA = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(l e)}^{2})

Go Total Surface Area of Small Stellated Dodecahedron given Ridge Length

TSA = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{2 \cdot l Ridge}{1 + \sqrt{5}})}^{2})

Go Total Surface Area of Small Stellated Dodecahedron given Pentagram Chord

TSA = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{2})

Go Total Surface Area of Small Stellated Dodecahedron given Pyramidal Height

TSA = (15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})) \cdot ({(\frac{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{2})

How to Evaluate Total Surface Area of Small Stellated Dodecahedron given Circumradius?

Total Surface Area of Small Stellated Dodecahedron given Circumradius evaluator uses Total Surface Area of Small Stellated Dodecahedron = (15*(sqrt(5+2*sqrt(5))))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^2) to evaluate the Total Surface Area of Small Stellated Dodecahedron, Total Surface Area of Small Stellated Dodecahedron given Circumradius formula is defined as the total quantity of plane enclosed by the entire surface of the Small Stellated Dodecahedron, calculated using its circumradius. Total Surface Area of Small Stellated Dodecahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Small Stellated Dodecahedron given Circumradius using this online evaluator? To use this online evaluator for Total Surface Area of Small Stellated Dodecahedron given Circumradius, enter Circumradius of Small Stellated Dodecahedron (r_c) and hit the calculate button.

FAQs on Total Surface Area of Small Stellated Dodecahedron given Circumradius

What is the formula to find Total Surface Area of Small Stellated Dodecahedron given Circumradius?

The formula of Total Surface Area of Small Stellated Dodecahedron given Circumradius is expressed as Total Surface Area of Small Stellated Dodecahedron = (15*(sqrt(5+2*sqrt(5))))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^2). Here is an example- 4654.061 = (15*(sqrt(5+2*sqrt(5))))*(((4*25)/(sqrt(50+22*sqrt(5))))^2).

How to calculate Total Surface Area of Small Stellated Dodecahedron given Circumradius?

With Circumradius of Small Stellated Dodecahedron (r_c) we can find Total Surface Area of Small Stellated Dodecahedron given Circumradius using the formula - Total Surface Area of Small Stellated Dodecahedron = (15*(sqrt(5+2*sqrt(5))))*(((4*Circumradius of Small Stellated Dodecahedron)/(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 Small Stellated Dodecahedron?

Here are the different ways to Calculate Total Surface Area of Small Stellated Dodecahedron-

Total Surface Area of Small Stellated Dodecahedron=(15*(sqrt(5+2*sqrt(5))))*((Edge Length of Small Stellated Dodecahedron)^2)
Total Surface Area of Small Stellated Dodecahedron=(15*(sqrt(5+2*sqrt(5))))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^2)
Total Surface Area of Small Stellated Dodecahedron=(15*(sqrt(5+2*sqrt(5))))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^2)

Can the Total Surface Area of Small Stellated Dodecahedron given Circumradius be negative?

No, the Total Surface Area of Small Stellated Dodecahedron given Circumradius, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Small Stellated Dodecahedron given Circumradius?

Total Surface Area of Small Stellated Dodecahedron given Circumradius 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 Small Stellated Dodecahedron given Circumradius can be measured.

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