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Diagonal of Hendecagon across Four Sides given Width Formula

GoDiagonal of Hendecagon across Four Sides Formula

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Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon. Check FAQs

d 4 = W \cdot \frac{\sin (\frac{4 \cdot π}{11})}{\sin (\frac{5 \cdot π}{11})}

d₄ - Diagonal across Four Sides of Hendecagon?W - Width of hendecagon?π - Archimedes' constant?

Diagonal of Hendecagon across Four Sides given Width Example

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Here is how the Diagonal of Hendecagon across Four Sides given Width equation looks like with Values.

Here is how the Diagonal of Hendecagon across Four Sides given Width equation looks like with Units.

Here is how the Diagonal of Hendecagon across Four Sides given Width equation looks like.

16.5417 = 18 \cdot \frac{\sin (\frac{4 \cdot 3.1416}{11})}{\sin (\frac{5 \cdot 3.1416}{11})}

16.5417m = 18m \cdot \frac{\sin (\frac{4 \cdot 3.1416}{11})}{\sin (\frac{5 \cdot 3.1416}{11})}

16.5417 = 18 \cdot \frac{\sin (\frac{4 \cdot 3.1416}{11})}{\sin (\frac{5 \cdot 3.1416}{11})}

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Diagonal of Hendecagon across Four Sides given Width Solution

Follow our step by step solution on how to calculate Diagonal of Hendecagon across Four Sides given Width?

FIRST Step Consider the formula

d 4 = W \cdot \frac{\sin (\frac{4 \cdot π}{11})}{\sin (\frac{5 \cdot π}{11})}

Next Step Substitute values of Variables

∴

d 4 = 18m \cdot \frac{\sin (\frac{4 \cdot π}{11})}{\sin (\frac{5 \cdot π}{11})}

Next Step Substitute values of Constants

∴

d 4 = 18m \cdot \frac{\sin (\frac{4 \cdot 3.1416}{11})}{\sin (\frac{5 \cdot 3.1416}{11})}

Next Step Prepare to Evaluate

∴

d 4 = 18 \cdot \frac{\sin (\frac{4 \cdot 3.1416}{11})}{\sin (\frac{5 \cdot 3.1416}{11})}

Next Step Evaluate

∴

d 4 = 16.5417470501219m

LAST Step Rounding Answer

∴

d 4 = 16.5417m

Diagonal of Hendecagon across Four Sides given Width Formula Elements

Variables

Constants

Functions

Diagonal across Four Sides of Hendecagon

Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon.

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Four Sides of Hendecagon

Width of hendecagon

Width of Hendecagon is the horizontal distance from the left most edge to the right most edge of the Hendecagon.

Symbol: W

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of hendecagon

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Diagonal across Four Sides of Hendecagon

Go Diagonal of Hendecagon across Four Sides

d 4 = \frac{S \cdot \sin (\frac{4 \cdot π}{11})}{\sin (\frac{π}{11})}

Other formulas in Diagonal of Hendecagon across Four sides category

Go Area of Hendecagon

A = \frac{11}{4} \cdot \frac{S^{2}}{\tan (\frac{π}{11})}

Go Area of Hendecagon given Height

A = 11 \cdot \frac{{(h \cdot \tan (\frac{π}{22}))}^{2}}{\tan (\frac{π}{11})}

Go Area of Hendecagon given Perimeter

A = \frac{P^{2}}{44 \cdot \tan (\frac{π}{11})}

Go Diagonal of Hendecagon across Five Sides

d 5 = \frac{S \cdot \sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

How to Evaluate Diagonal of Hendecagon across Four Sides given Width?

Diagonal of Hendecagon across Four Sides given Width evaluator uses Diagonal across Four Sides of Hendecagon = Width of hendecagon*sin((4*pi)/11)/(sin((5*pi)/11)) to evaluate the Diagonal across Four Sides of Hendecagon, The Diagonal of Hendecagon across Four Sides given Width formula is defined as the straight line connecting two non-adjacent vertices across four sides of Hendecagon, calculated using its width. Diagonal across Four Sides of Hendecagon is denoted by d₄ symbol.

How to evaluate Diagonal of Hendecagon across Four Sides given Width using this online evaluator? To use this online evaluator for Diagonal of Hendecagon across Four Sides given Width, enter Width of hendecagon (W) and hit the calculate button.

FAQs on Diagonal of Hendecagon across Four Sides given Width

What is the formula to find Diagonal of Hendecagon across Four Sides given Width?

The formula of Diagonal of Hendecagon across Four Sides given Width is expressed as Diagonal across Four Sides of Hendecagon = Width of hendecagon*sin((4*pi)/11)/(sin((5*pi)/11)). Here is an example- 15.62276 = 18*sin((4*pi)/11)/(sin((5*pi)/11)).

How to calculate Diagonal of Hendecagon across Four Sides given Width?

With Width of hendecagon (W) we can find Diagonal of Hendecagon across Four Sides given Width using the formula - Diagonal across Four Sides of Hendecagon = Width of hendecagon*sin((4*pi)/11)/(sin((5*pi)/11)). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Diagonal across Four Sides of Hendecagon?

Here are the different ways to Calculate Diagonal across Four Sides of Hendecagon-

Diagonal across Four Sides of Hendecagon=(Side of Hendecagon*sin((4*pi)/11))/sin(pi/11)

Can the Diagonal of Hendecagon across Four Sides given Width be negative?

No, the Diagonal of Hendecagon across Four Sides given Width, measured in Length cannot be negative.

Which unit is used to measure Diagonal of Hendecagon across Four Sides given Width?

Diagonal of Hendecagon across Four Sides given Width is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diagonal of Hendecagon across Four Sides given Width can be measured.

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