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Side Length of Hexagonal Patch Formula

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The Side Length of Hexagonal Patch refers to the length of one of the sides of the hexagon. Check FAQs

S hex = \frac{\sqrt{2 \cdot π} \cdot a eff}{\sqrt{5.1962}}

S_hex - Side Length of Hexagonal Patch?a_eff - Effective Radius of Circular Microstrip Patch?π - Archimedes' constant?

Side Length of Hexagonal Patch Example

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Here is how the Side Length of Hexagonal Patch equation looks like with Values.

Here is how the Side Length of Hexagonal Patch equation looks like with Units.

Here is how the Side Length of Hexagonal Patch equation looks like.

192.1471 = \frac{\sqrt{2 \cdot 3.1416} \cdot 17.4738}{\sqrt{5.1962}}

192.1471mm = \frac{\sqrt{2 \cdot 3.1416} \cdot 17.4738cm}{\sqrt{5.1962}}

192.1471 = \frac{\sqrt{2 \cdot 3.1416} \cdot 17.4738}{\sqrt{5.1962}}

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Side Length of Hexagonal Patch Solution

Follow our step by step solution on how to calculate Side Length of Hexagonal Patch?

FIRST Step Consider the formula

S hex = \frac{\sqrt{2 \cdot π} \cdot a eff}{\sqrt{5.1962}}

Next Step Substitute values of Variables

∴

S hex = \frac{\sqrt{2 \cdot π} \cdot 17.4738cm}{\sqrt{5.1962}}

Next Step Substitute values of Constants

∴

S hex = \frac{\sqrt{2 \cdot 3.1416} \cdot 17.4738cm}{\sqrt{5.1962}}

Next Step Convert Units

∴

S hex = \frac{\sqrt{2 \cdot 3.1416} \cdot 0.1747m}{\sqrt{5.1962}}

Next Step Prepare to Evaluate

∴

S hex = \frac{\sqrt{2 \cdot 3.1416} \cdot 0.1747}{\sqrt{5.1962}}

Next Step Evaluate

∴

S hex = 0.192147115128304m

Next Step Convert to Output's Unit

∴

S hex = 192.147115128304mm

LAST Step Rounding Answer

∴

S hex = 192.1471mm

Side Length of Hexagonal Patch Formula Elements

Variables

Constants

Functions

Side Length of Hexagonal Patch

The Side Length of Hexagonal Patch refers to the length of one of the sides of the hexagon.

Symbol: S_hex

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Side Length of Hexagonal Patch

Effective Radius of Circular Microstrip Patch

Effective Radius of Circular Microstrip Patch is related to the physical radius of the circular patch but is adjusted to account for the fringing fields affecting the performance of the antenna.

Symbol: a_eff

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Effective Radius of Circular Microstrip Patch

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 in Microstrip Antenna category

Go Width of Microstrip Patch

W p = \frac{[c]}{2 \cdot f res \cdot (\sqrt{\frac{E r + 1}{2}})}

Go Effective Dielectric Constant of Substrate

E eff = \frac{E r + 1}{2} + (\frac{E r - 1}{2}) \cdot (\frac{1}{\sqrt{1 + 12 \cdot (\frac{h}{W p})}})

Go Effective Length of Patch

L eff = \frac{[c]}{2 \cdot f res \cdot (\sqrt{E eff})}

Go Length Extention of Patch

ΔL = 0.412 \cdot h \cdot (\frac{(E eff + 0.3) \cdot (\frac{W p}{h} + 0.264)}{(E eff - 0.264) \cdot (\frac{W p}{h} + 0.8)})

How to Evaluate Side Length of Hexagonal Patch?

Side Length of Hexagonal Patch evaluator uses Side Length of Hexagonal Patch = (sqrt(2*pi)*Effective Radius of Circular Microstrip Patch)/sqrt(5.1962) to evaluate the Side Length of Hexagonal Patch, The Side Length of Hexagonal Patch refers to the length of one of the sides of the hexagon. The hexagonal shape is chosen for various reasons, including its ability to provide a wider bandwidth compared to a square or circular patch. Side Length of Hexagonal Patch is denoted by S_hex symbol.

How to evaluate Side Length of Hexagonal Patch using this online evaluator? To use this online evaluator for Side Length of Hexagonal Patch, enter Effective Radius of Circular Microstrip Patch (a_eff) and hit the calculate button.

FAQs on Side Length of Hexagonal Patch

What is the formula to find Side Length of Hexagonal Patch?

The formula of Side Length of Hexagonal Patch is expressed as Side Length of Hexagonal Patch = (sqrt(2*pi)*Effective Radius of Circular Microstrip Patch)/sqrt(5.1962). Here is an example- 19214.71 = (sqrt(2*pi)*0.01747378)/sqrt(5.1962).

How to calculate Side Length of Hexagonal Patch?

With Effective Radius of Circular Microstrip Patch (a_eff) we can find Side Length of Hexagonal Patch using the formula - Side Length of Hexagonal Patch = (sqrt(2*pi)*Effective Radius of Circular Microstrip Patch)/sqrt(5.1962). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Side Length of Hexagonal Patch be negative?

No, the Side Length of Hexagonal Patch, measured in Length cannot be negative.

Which unit is used to measure Side Length of Hexagonal Patch?

Side Length of Hexagonal Patch is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Side Length of Hexagonal Patch can be measured.

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