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Width of Hendecagon given Height 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 = 2 \cdot \tan (\frac{π}{22}) \cdot h \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

W - Width of hendecagon?h - Height of Hendecagon?π - Archimedes' constant?

Width of Hendecagon given Height Example

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Here is how the Width of Hendecagon given Height equation looks like with Values.

Here is how the Width of Hendecagon given Height equation looks like with Units.

Here is how the Width of Hendecagon given Height equation looks like.

17.1748 = 2 \cdot \tan (\frac{3.1416}{22}) \cdot 17 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

17.1748m = 2 \cdot \tan (\frac{3.1416}{22}) \cdot 17m \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

17.1748 = 2 \cdot \tan (\frac{3.1416}{22}) \cdot 17 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

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Width of Hendecagon given Height Solution

Follow our step by step solution on how to calculate Width of Hendecagon given Height?

FIRST Step Consider the formula

W = 2 \cdot \tan (\frac{π}{22}) \cdot h \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

Next Step Substitute values of Variables

∴

W = 2 \cdot \tan (\frac{π}{22}) \cdot 17m \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

Next Step Substitute values of Constants

∴

W = 2 \cdot \tan (\frac{3.1416}{22}) \cdot 17m \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

W = 2 \cdot \tan (\frac{3.1416}{22}) \cdot 17 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

Next Step Evaluate

∴

W = 17.1748148511466m

LAST Step Rounding Answer

∴

W = 17.1748m

Width of Hendecagon given Height 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

Height of Hendecagon

Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(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 Height?

Width of Hendecagon given Height evaluator uses Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11) to evaluate the Width of hendecagon, The Width of Hendecagon given Height formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using height. Width of hendecagon is denoted by W symbol.

How to evaluate Width of Hendecagon given Height using this online evaluator? To use this online evaluator for Width of Hendecagon given Height, enter Height of Hendecagon (h) and hit the calculate button.

FAQs on Width of Hendecagon given Height

What is the formula to find Width of Hendecagon given Height?

The formula of Width of Hendecagon given Height is expressed as Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11). Here is an example- 17.17481 = 2*tan(pi/22)*17*sin((5*pi)/11)/sin(pi/11).

How to calculate Width of Hendecagon given Height?

With Height of Hendecagon (h) we can find Width of Hendecagon given Height using the formula - Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) 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 Height be negative?

No, the Width of Hendecagon given Height, measured in Length cannot be negative.

Which unit is used to measure Width of Hendecagon given Height?

Width of Hendecagon given Height 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 Height can be measured.

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