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Width of Hendecagon given Area Formula

GoWidth of Hendecagon Formula

GoWidth of Hendecagon given Perimeter 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 \sqrt{A \cdot \frac{\tan (\frac{π}{11})}{11}} \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

W - Width of hendecagon?A - Area of Hendecagon?π - Archimedes' constant?

Width of Hendecagon given Area Example

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

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

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

17.5989 = 2 \cdot \sqrt{235 \cdot \frac{\tan (\frac{3.1416}{11})}{11}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

17.5989m = 2 \cdot \sqrt{235m² \cdot \frac{\tan (\frac{3.1416}{11})}{11}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

17.5989 = 2 \cdot \sqrt{235 \cdot \frac{\tan (\frac{3.1416}{11})}{11}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

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Width of Hendecagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = 2 \cdot \sqrt{235m² \cdot \frac{\tan (\frac{π}{11})}{11}} \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

Next Step Substitute values of Constants

∴

W = 2 \cdot \sqrt{235m² \cdot \frac{\tan (\frac{3.1416}{11})}{11}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

W = 2 \cdot \sqrt{235 \cdot \frac{\tan (\frac{3.1416}{11})}{11}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

Next Step Evaluate

∴

W = 17.5988797536418m

LAST Step Rounding Answer

∴

W = 17.5989m

Width of Hendecagon given Area 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

Area of Hendecagon

Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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)

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 Width of hendecagon

Go Width of Hendecagon

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

Go Width of Hendecagon given Perimeter

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

Other formulas in Width of Hendecagon 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 Width of Hendecagon given Area?

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

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

FAQs on Width of Hendecagon given Area

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

The formula of Width of Hendecagon given Area is expressed as Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11). Here is an example- 17.59888 = 2*sqrt(235*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11).

How to calculate Width of Hendecagon given Area?

With Area of Hendecagon (A) we can find Width of Hendecagon given Area using the formula - Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan), Square Root (sqrt) 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=(Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
Width of hendecagon=(Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11)

Can the Width of Hendecagon given Area be negative?

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

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

Width of Hendecagon given Area 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 Area can be measured.

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