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Long Chord Slice of Pentagram given Area Formula

GoLong Chord Slice of Pentagram Formula

GoLong Chord Slice of Pentagram given Chord Length Formula

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The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram. Check FAQs

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

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

Long Chord Slice of Pentagram given Area Example

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

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

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

6.1334 = \frac{1}{1.618} \cdot \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

6.1334m = \frac{1}{1.618} \cdot \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

6.1334 = \frac{1}{1.618} \cdot \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

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Long Chord Slice of Pentagram given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l Long Chord Slice = 6.13337233067733m

LAST Step Rounding Answer

∴

l Long Chord Slice = 6.1334m

Long Chord Slice of Pentagram given Area Formula Elements

Variables

Constants

Functions

Long Chord Slice of Pentagram

The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram.

Symbol: l_{Long Chord Slice}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long 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 Long Chord Slice of Pentagram

Go Long Chord Slice of Pentagram

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

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}

Other formulas in Long Chord Slice of Pentagram category

Go Short Chord Slice of Pentagram

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

Go Short Chord Slice of Pentagram given Area

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

How to Evaluate Long Chord Slice of Pentagram given Area?

Long Chord Slice of Pentagram given Area evaluator uses Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))) to evaluate the Long Chord Slice of Pentagram, The Long Chord Slice of Pentagram given Area formula is defined as the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram and calculated using area of the Pentagram. Long Chord Slice of Pentagram is denoted by l_{Long Chord Slice} symbol.

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

FAQs on Long Chord Slice of Pentagram given Area

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

The formula of Long Chord Slice of Pentagram given Area is expressed as Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). Here is an example- 6.133372 = 1/[phi]*sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5)))))).

How to calculate Long Chord Slice of Pentagram given Area?

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

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

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

Long Chord Slice of Pentagram=Pentagonal Edge Length of Pentagram/[phi]
Long Chord Slice of Pentagram=Chord Length of Pentagram-Pentagonal Edge Length of Pentagram
Long Chord Slice of Pentagram=Perimeter of Pentagram/10

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

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

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

Long 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 Long Chord Slice of Pentagram given Area can be measured.

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