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Width of Hendecagon given Inradius 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}{11}) \cdot r i \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

W - Width of hendecagon?r_i - Inradius of Hendecagon?π - Archimedes' constant?

Width of Hendecagon given Inradius Example

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

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

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

16.5057 = 2 \cdot \tan (\frac{3.1416}{11}) \cdot 8 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

16.5057m = 2 \cdot \tan (\frac{3.1416}{11}) \cdot 8m \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

16.5057 = 2 \cdot \tan (\frac{3.1416}{11}) \cdot 8 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

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Width of Hendecagon given Inradius Solution

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

FIRST Step Consider the formula

W = 2 \cdot \tan (\frac{π}{11}) \cdot r i \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

Next Step Substitute values of Variables

∴

W = 2 \cdot \tan (\frac{π}{11}) \cdot 8m \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}{11}) \cdot 8m \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}{11}) \cdot 8 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

Next Step Evaluate

∴

W = 16.5057415797793m

LAST Step Rounding Answer

∴

W = 16.5057m

Width of Hendecagon given Inradius 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

Inradius of Hendecagon

The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Inradius?

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

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

FAQs on Width of Hendecagon given Inradius

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

The formula of Width of Hendecagon given Inradius is expressed as Width of hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((5*pi)/11)/sin(pi/11). Here is an example- 16.50574 = 2*tan(pi/11)*8*sin((5*pi)/11)/sin(pi/11).

How to calculate Width of Hendecagon given Inradius?

With Inradius of Hendecagon (r_i) we can find Width of Hendecagon given Inradius using the formula - Width of hendecagon = 2*tan(pi/11)*Inradius 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 Inradius be negative?

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

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

Width of Hendecagon given Inradius 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 Inradius can be measured.

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