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Short Chord Slice of Pentagram given Area Formula

GoShort Chord Slice of Pentagram Formula

GoShort Chord Slice of Pentagram given Chord Length Formula

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The Short Chord Slice of Pentagram is the edge length of the regular pentagon which form inside the Pentagram when all the chords are drawn. Check FAQs

l Short Chord Slice = \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{[phi]}^{2}}

l_{Short Chord Slice} - Short Chord Slice of Pentagram?A - Area of Pentagram?[phi] - Golden ratio?

Short Chord Slice of Pentagram given Area Example

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Here is how the Short Chord Slice of Pentagram given Area equation looks like with Values.

Here is how the Short Chord Slice of Pentagram given Area equation looks like with Units.

Here is how the Short Chord Slice of Pentagram given Area equation looks like.

3.7906 = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{1.618}^{2}}

3.7906m = \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{1.618}^{2}}

3.7906 = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{1.618}^{2}}

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Short Chord Slice of Pentagram given Area Solution

Follow our step by step solution on how to calculate Short Chord Slice of Pentagram given Area?

FIRST Step Consider the formula

l Short Chord Slice = \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{[phi]}^{2}}

Next Step Substitute values of Variables

∴

l Short Chord Slice = \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{[phi]}^{2}}

Next Step Substitute values of Constants

∴

l Short Chord Slice = \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{1.618}^{2}}

Next Step Prepare to Evaluate

∴

l Short Chord Slice = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - 2 \cdot \sqrt{5})}}} \cdot \frac{1}{{1.618}^{2}}

Next Step Evaluate

∴

l Short Chord Slice = 3.79063256601675m

LAST Step Rounding Answer

∴

l Short Chord Slice = 3.7906m

Short Chord Slice of Pentagram given Area Formula Elements

Variables

Constants

Functions

Short Chord Slice of Pentagram

The Short Chord Slice of Pentagram is the edge length of the regular pentagon which form inside the Pentagram when all the chords are drawn.

Symbol: l_{Short Chord Slice}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Chord Slice of Pentagram

Area of Pentagram

The Area of Pentagram is the total quantity of plane enclosed by the boundary of the entire Pentagram shape.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagram

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

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 Short Chord Slice of Pentagram

Go Short Chord Slice of Pentagram

l Short Chord Slice = \frac{l e(Pentagon)}{{[phi]}^{2}}

Go Short Chord Slice of Pentagram given Chord Length

l Short Chord Slice = \frac{l c}{{[phi]}^{3}}

Go Short Chord Slice of Pentagram given Perimeter

l Short Chord Slice = \frac{P}{10 \cdot [phi]}

Other formulas in Short Chord Slice of Pentagram category

Go Long Chord Slice of Pentagram

l Long Chord Slice = \frac{l e(Pentagon)}{[phi]}

Go Long Chord Slice of Pentagram given Area

l Long Chord Slice = \frac{1}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Go Long Chord Slice of Pentagram given Chord Length

l Long Chord Slice = l c - l e(Pentagon)

Go Long Chord Slice of Pentagram given Perimeter

l Long Chord Slice = \frac{P}{10}

How to Evaluate Short Chord Slice of Pentagram given Area?

Short Chord Slice of Pentagram given Area evaluator uses Short Chord Slice of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))*1/[phi]^2 to evaluate the Short Chord Slice of Pentagram, Short Chord Slice of Pentagram given Area formula is defined as the edge length of the regular pentagon which forms inside the Pentagram when all the chords are drawn and calculated using the area of the Pentagram. Short Chord Slice of Pentagram is denoted by l_{Short Chord Slice} symbol.

How to evaluate Short Chord Slice of Pentagram given Area using this online evaluator? To use this online evaluator for Short Chord Slice of Pentagram given Area, enter Area of Pentagram (A) and hit the calculate button.

FAQs on Short Chord Slice of Pentagram given Area

What is the formula to find Short Chord Slice of Pentagram given Area?

The formula of Short Chord Slice of Pentagram given Area is expressed as Short Chord Slice of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))*1/[phi]^2. Here is an example- 3.790633 = sqrt((2*80)/sqrt(5*(5-2*sqrt(5))))*1/[phi]^2.

How to calculate Short Chord Slice of Pentagram given Area?

With Area of Pentagram (A) we can find Short Chord Slice of Pentagram given Area using the formula - Short Chord Slice of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))*1/[phi]^2. This formula also uses Golden ratio constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Short Chord Slice of Pentagram?

Here are the different ways to Calculate Short Chord Slice of Pentagram-

Short Chord Slice of Pentagram=Pentagonal Edge Length of Pentagram/[phi]^2
Short Chord Slice of Pentagram=Chord Length of Pentagram/[phi]^3
Short Chord Slice of Pentagram=Perimeter of Pentagram/(10*[phi])

Can the Short Chord Slice of Pentagram given Area be negative?

No, the Short Chord Slice of Pentagram given Area, measured in Length cannot be negative.

Which unit is used to measure Short Chord Slice of Pentagram given Area?

Short Chord Slice of Pentagram given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Short Chord Slice of Pentagram given Area can be measured.

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