FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Chord Length of Pentagram given Area Formula

GoChord Length of Pentagram Formula

GoChord Length of Pentagram given Long Chord Slice Formula

Fx Copy

LaTeX Copy

The Chord Length of Pentagram is the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals. Check FAQs

l c = \frac{[phi] + 1}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

l_c - Chord Length of Pentagram?A - Area of Pentagram?[phi] - Golden ratio?[phi] - Golden ratio?

Chord Length of Pentagram given Area Example

With values

With units

Only example

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

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

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

16.0574 = \frac{1.618 + 1}{1.618} \cdot \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

16.0574m = \frac{1.618 + 1}{1.618} \cdot \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

16.0574 = \frac{1.618 + 1}{1.618} \cdot \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Chord Length of Pentagram given Area

Chord Length of Pentagram given Area Solution

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

FIRST Step Consider the formula

l c = \frac{[phi] + 1}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Substitute values of Variables

∴

l c = \frac{[phi] + 1}{[phi]} \cdot \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Substitute values of Constants

∴

l c = \frac{1.618 + 1}{1.618} \cdot \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Prepare to Evaluate

∴

l c = \frac{1.618 + 1}{1.618} \cdot \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Evaluate

∴

l c = 16.0573772273714m

LAST Step Rounding Answer

∴

l c = 16.0574m

Chord Length of Pentagram given Area Formula Elements

Variables

Constants

Functions

Chord Length of Pentagram

The Chord Length of Pentagram is the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length 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

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 Chord Length of Pentagram

Go Chord Length of Pentagram

l c = [phi] \cdot l e(Pentagon)

Go Chord Length of Pentagram given Long Chord Slice

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

Go Chord Length of Pentagram given Long Chord Slice and Short Chord Slice

l c = (2 \cdot l Long Chord Slice) + l Short Chord Slice

Go Chord Length of Pentagram given Perimeter

l c = \frac{P}{10} \cdot (1 + [phi])

Other formulas in Chord Length of Pentagram category

Go Pentagonal Edge Length of Pentagram

l e(Pentagon) = l Long Chord Slice + l Short Chord Slice

Go Pentagonal Edge Length of Pentagram given Area

l e(Pentagon) = \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Go Pentagonal Edge Length of Pentagram given Chord Length

l e(Pentagon) = \frac{l c}{[phi]}

Go Pentagonal Edge Length of Pentagram given Perimeter

l e(Pentagon) = \frac{P \cdot [phi]}{10}

How to Evaluate Chord Length of Pentagram given Area?

Chord Length of Pentagram given Area evaluator uses Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5))))) to evaluate the Chord Length of Pentagram, Chord Length of Pentagram given Area formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the area of the Pentagram. Chord Length of Pentagram is denoted by l_c symbol.

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

FAQs on Chord Length of Pentagram given Area

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

The formula of Chord Length of Pentagram given Area is expressed as Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5))))). Here is an example- 16.05738 = ([phi]+1)/[phi]*sqrt((2*80)/sqrt(5*(5-(2*sqrt(5))))).

How to calculate Chord Length of Pentagram given Area?

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

What are the other ways to Calculate Chord Length of Pentagram?

Here are the different ways to Calculate Chord Length of Pentagram-

Chord Length of Pentagram=[phi]*Pentagonal Edge Length of Pentagram
Chord Length of Pentagram=Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram
Chord Length of Pentagram=(2*Long Chord Slice of Pentagram)+Short Chord Slice of Pentagram

Can the Chord Length of Pentagram given Area be negative?

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

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

Chord Length 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 Chord Length of Pentagram given Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit