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Perimeter of Hendecagon given Width Formula

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GoPerimeter of Hendecagon given Area Formula

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Perimeter of Hendecagon is the total distance around the edge of the Hendecagon. Check FAQs

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

P - Perimeter of Hendecagon?W - Width of hendecagon?π - Archimedes' constant?

Perimeter of Hendecagon given Width Example

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

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

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

56.3567 = 11 \cdot 18 \cdot (\frac{\sin (\frac{3.1416}{11})}{\sin (\frac{5 \cdot 3.1416}{11})})

56.3567m = 11 \cdot 18m \cdot (\frac{\sin (\frac{3.1416}{11})}{\sin (\frac{5 \cdot 3.1416}{11})})

56.3567 = 11 \cdot 18 \cdot (\frac{\sin (\frac{3.1416}{11})}{\sin (\frac{5 \cdot 3.1416}{11})})

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Perimeter of Hendecagon given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P = 56.3566759562209m

LAST Step Rounding Answer

∴

P = 56.3567m

Perimeter of Hendecagon given Width Formula Elements

Variables

Constants

Functions

Perimeter of Hendecagon

Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter of Hendecagon

Go Perimeter of Hendecagon

P = 11 \cdot S

Go Perimeter of Hendecagon given Area

P = 11 \cdot \sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{11})}{11}}

Other formulas in Perimeter 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 Perimeter of Hendecagon given Width?

Perimeter of Hendecagon given Width evaluator uses Perimeter of Hendecagon = 11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11)) to evaluate the Perimeter of Hendecagon, The Perimeter of Hendecagon given Width formula is defined as the total distance around the edge of the Hendecagon, calculated using width. Perimeter of Hendecagon is denoted by P symbol.

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

FAQs on Perimeter of Hendecagon given Width

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

The formula of Perimeter of Hendecagon given Width is expressed as Perimeter of Hendecagon = 11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11)). Here is an example- 53.22575 = 11*18*(sin((pi)/11)/sin((5*pi)/11)).

How to calculate Perimeter of Hendecagon given Width?

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

What are the other ways to Calculate Perimeter of Hendecagon?

Here are the different ways to Calculate Perimeter of Hendecagon-

Perimeter of Hendecagon=11*Side of Hendecagon
Perimeter of Hendecagon=11*sqrt((4*Area of Hendecagon*tan(pi/11))/11)

Can the Perimeter of Hendecagon given Width be negative?

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

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

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

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