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Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area Formula

GoPentagram Chord of Great Stellated Dodecahedron Formula

GoPentagram Chord of Great Stellated Dodecahedron given Ridge Length Formula

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Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron. Check FAQs

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

l_c(Pentagram) - Pentagram Chord of Great Stellated Dodecahedron?TSA - Total Surface Area of Great Stellated Dodecahedron?

Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area Example

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Here is how the Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area equation looks like with Values.

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area equation looks like with Units.

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area equation looks like.

42.2848 = (2 + \sqrt{5}) \cdot \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

42.2848m = (2 + \sqrt{5}) \cdot \sqrt{\frac{4600m²}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

42.2848 = (2 + \sqrt{5}) \cdot \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \sqrt{\frac{4600m²}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

l c(Pentagram) = 42.2847946976538m

LAST Step Rounding Answer

∴

l c(Pentagram) = 42.2848m

Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Pentagram Chord of Great Stellated Dodecahedron

Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord of Great Stellated Dodecahedron

Total Surface Area of Great Stellated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great 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 Pentagram Chord of Great Stellated Dodecahedron

Go Pentagram Chord of Great Stellated Dodecahedron

l c(Pentagram) = (2 + \sqrt{5}) \cdot l e

Go Pentagram Chord of Great Stellated Dodecahedron given Ridge Length

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

Go Pentagram Chord of Great Stellated Dodecahedron given Circumradius

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})}

How to Evaluate Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area?

Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area evaluator uses Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))) to evaluate the Pentagram Chord of Great Stellated Dodecahedron, Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its total surface area. Pentagram Chord of Great Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

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

FAQs on Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area

What is the formula to find Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area?

The formula of Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area is expressed as Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))). Here is an example- 42.28479 = (2+sqrt(5))*sqrt(4600/(15*sqrt(5+(2*sqrt(5))))).

How to calculate Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area?

With Total Surface Area of Great Stellated Dodecahedron (TSA) we can find Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area using the formula - Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pentagram Chord of Great Stellated Dodecahedron?

Here are the different ways to Calculate Pentagram Chord of Great Stellated Dodecahedron-

Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*Edge Length of Great Stellated Dodecahedron
Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area be negative?

No, the Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area?

Pentagram Chord of Great Stellated Dodecahedron 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 Pentagram Chord of Great Stellated Dodecahedron given Total Surface Area can be measured.

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