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Width of Hendecagon given Diagonal across Four Sides Formula

GoWidth of Hendecagon given Perimeter Formula

GoWidth of Hendecagon given Area Formula

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

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

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

Width of Hendecagon given Diagonal across Four Sides Example

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

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

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

17.4105 = 16 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

17.4105m = 16m \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

17.4105 = 16 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

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Width of Hendecagon given Diagonal across Four Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = 16m \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{4 \cdot π}{11})}

Next Step Substitute values of Constants

∴

W = 16m \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

Next Step Prepare to Evaluate

∴

W = 16 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

Next Step Evaluate

∴

W = 17.4104947396035m

LAST Step Rounding Answer

∴

W = 17.4105m

Width of Hendecagon given Diagonal across Four Sides Formula Elements

Variables

Constants

Functions

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

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

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 Width of hendecagon

Go Width of Hendecagon given Perimeter

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

Go Width of Hendecagon given Area

W = 2 \cdot \sqrt{A \cdot \frac{\tan (\frac{π}{11})}{11}} \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

Go Width of Hendecagon

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

Go Width of Hendecagon given Diagonal across Two Sides

W = d 2 \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{2 \cdot π}{11})}

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

Width of Hendecagon given Diagonal across Four Sides evaluator uses Width of hendecagon = Diagonal across Four Sides of Hendecagon*(sin((5*pi)/11))/(sin((4*pi)/11)) to evaluate the Width of hendecagon, The Width of Hendecagon given Diagonal across Four Sides formula is defined as horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using diagonal across four sides. Width of hendecagon is denoted by W symbol.

How to evaluate Width of Hendecagon given Diagonal across Four Sides using this online evaluator? To use this online evaluator for Width of Hendecagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Hendecagon (d₄) and hit the calculate button.

FAQs on Width of Hendecagon given Diagonal across Four Sides

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

The formula of Width of Hendecagon given Diagonal across Four Sides is expressed as Width of hendecagon = Diagonal across Four Sides of Hendecagon*(sin((5*pi)/11))/(sin((4*pi)/11)). Here is an example- 17.41049 = 16*(sin((5*pi)/11))/(sin((4*pi)/11)).

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

With Diagonal across Four Sides of Hendecagon (d₄) we can find Width of Hendecagon given Diagonal across Four Sides using the formula - Width of hendecagon = Diagonal across Four Sides of Hendecagon*(sin((5*pi)/11))/(sin((4*pi)/11)). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Width of hendecagon?

Here are the different ways to Calculate Width of hendecagon-

Width of hendecagon=(Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11)
Width of hendecagon=2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)
Width of hendecagon=(Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)

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

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

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

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

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