FormulaDen.com

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

Area of Pentagram given Long and Short Chord Slice Formula

GoArea of Pentagram Formula

GoArea of Pentagram given Chord Length Formula

Fx Copy

LaTeX Copy

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

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(l Long Chord Slice + l Short Chord Slice)}^{2}

A - Area of Pentagram?l_{Long Chord Slice} - Long Chord Slice of Pentagram?l_{Short Chord Slice} - Short Chord Slice of Pentagram?

Area of Pentagram given Long and Short Chord Slice Example

With values

With units

Only example

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

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

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

81.2299 = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6 + 4)}^{2}

81.2299m² = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6m + 4m)}^{2}

81.2299 = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6 + 4)}^{2}

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 Area of Pentagram given Long and Short Chord Slice

Area of Pentagram given Long and Short Chord Slice Solution

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

FIRST Step Consider the formula

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(l Long Chord Slice + l Short Chord Slice)}^{2}

Next Step Substitute values of Variables

∴

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6m + 4m)}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6 + 4)}^{2}

Next Step Evaluate

∴

A = 81.2299240582266m²

LAST Step Rounding Answer

∴

A = 81.2299m²

Area of Pentagram given Long and Short Chord Slice Formula Elements

Variables

Functions

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

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

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

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 Area of Pentagram

Go Area of Pentagram

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

Go Area of Pentagram given Chord Length

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

Go Area of Pentagram given Long Chord Slice

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

Go Area of Pentagram given Long Chord Slice and Chord Length

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(l c - l Long Chord Slice)}^{2}

How to Evaluate Area of Pentagram given Long and Short Chord Slice?

Area of Pentagram given Long and Short Chord Slice evaluator uses Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram+Short Chord Slice of Pentagram)^2 to evaluate the Area of Pentagram, The Area of Pentagram given Long and Short Chord Slice formula is defined as the total quantity of plane enclosed by the boundary of the entire Pentagram shape and calculated by using a long chord slice and a short chord slice of the Pentagram. Area of Pentagram is denoted by A symbol.

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

FAQs on Area of Pentagram given Long and Short Chord Slice

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

The formula of Area of Pentagram given Long and Short Chord Slice is expressed as Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram+Short Chord Slice of Pentagram)^2. Here is an example- 81.22992 = (sqrt(5*(5-(2*sqrt(5)))))/2*(6+4)^2.

How to calculate Area of Pentagram given Long and Short Chord Slice?

With Long Chord Slice of Pentagram (l_{Long Chord Slice}) & Short Chord Slice of Pentagram (l_{Short Chord Slice}) we can find Area of Pentagram given Long and Short Chord Slice using the formula - Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram+Short Chord Slice of Pentagram)^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Pentagram?

Here are the different ways to Calculate Area of Pentagram-

Area of Pentagram=sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2
Area of Pentagram=sqrt(5*(5-(2*sqrt(5))))/2*(Chord Length of Pentagram/[phi])^2
Area of Pentagram=(sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram*[phi])^2

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Area of Pentagram given Long and Short Chord Slice Formula

​GoArea of Pentagram Formula

​GoArea of Pentagram given Chord Length Formula

Area of Pentagram given Long and Short Chord Slice Example

Area of Pentagram given Long and Short Chord Slice Solution

Area of Pentagram given Long and Short Chord Slice Formula Elements

Other Formulas to find Area of Pentagram

How to Evaluate Area of Pentagram given Long and Short Chord Slice?

FAQs on Area of Pentagram given Long and Short Chord Slice

Variable Name

GoArea of Pentagram Formula

GoArea of Pentagram given Chord Length Formula