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Height of Hendecagon given Diagonal across Four Sides Formula

GoHeight of Hendecagon given Circumradius Formula

GoHeight of Hendecagon given Inradius Formula

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

h = \frac{(\frac{d 4 \cdot \sin (\frac{π}{11})}{\sin (\frac{4 \cdot π}{11})})}{2 \cdot \tan (\frac{π}{22})}

h - Height of Hendecagon?d₄ - Diagonal across Four Sides of Hendecagon?π - Archimedes' constant?

Height of Hendecagon given Diagonal across Four Sides Example

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

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

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

17.2333 = \frac{(\frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}{2 \cdot \tan (\frac{3.1416}{22})}

17.2333m = \frac{(\frac{16m \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}{2 \cdot \tan (\frac{3.1416}{22})}

17.2333 = \frac{(\frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}{2 \cdot \tan (\frac{3.1416}{22})}

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Height of Hendecagon given Diagonal across Four Sides Solution

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

FIRST Step Consider the formula

h = \frac{(\frac{d 4 \cdot \sin (\frac{π}{11})}{\sin (\frac{4 \cdot π}{11})})}{2 \cdot \tan (\frac{π}{22})}

Next Step Substitute values of Variables

∴

h = \frac{(\frac{16m \cdot \sin (\frac{π}{11})}{\sin (\frac{4 \cdot π}{11})})}{2 \cdot \tan (\frac{π}{22})}

Next Step Substitute values of Constants

∴

h = \frac{(\frac{16m \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}{2 \cdot \tan (\frac{3.1416}{22})}

Next Step Prepare to Evaluate

∴

h = \frac{(\frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}{2 \cdot \tan (\frac{3.1416}{22})}

Next Step Evaluate

∴

h = 17.2332810070148m

LAST Step Rounding Answer

∴

h = 17.2333m

Height of Hendecagon given Diagonal across Four Sides Formula Elements

Variables

Constants

Functions

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

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)

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 Height of Hendecagon

Go Height of Hendecagon given Circumradius

h = \frac{r c \cdot \sin (\frac{π}{11})}{\tan (\frac{π}{22})}

Go Height of Hendecagon given Inradius

h = \frac{r i \cdot \tan (\frac{π}{11})}{\tan (\frac{π}{22})}

Go Height of Hendecagon given Perimeter

h = \frac{P}{22 \cdot \tan (\frac{π}{22})}

Go Height of Hendecagon

h = \frac{S}{2 \cdot \tan (\frac{π}{22})}

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

Height of Hendecagon given Diagonal across Four Sides evaluator uses Height of Hendecagon = (((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11)))/(2*tan(pi/22)) to evaluate the Height of Hendecagon, The Height of Hendecagon given Diagonal across Four Sides formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using diagonal across four sides. Height of Hendecagon is denoted by h symbol.

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

FAQs on Height of Hendecagon given Diagonal across Four Sides

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

The formula of Height of Hendecagon given Diagonal across Four Sides is expressed as Height of Hendecagon = (((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11)))/(2*tan(pi/22)). Here is an example- 17.23328 = (((16*sin(pi/11))/sin((4*pi)/11)))/(2*tan(pi/22)).

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

With Diagonal across Four Sides of Hendecagon (d₄) we can find Height of Hendecagon given Diagonal across Four Sides using the formula - Height of Hendecagon = (((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11)))/(2*tan(pi/22)). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) function(s).

What are the other ways to Calculate Height of Hendecagon?

Here are the different ways to Calculate Height of Hendecagon-

Height of Hendecagon=(Circumradius of Hendecagon*sin(pi/11))/(tan(pi/22))
Height of Hendecagon=(Inradius of Hendecagon*tan(pi/11))/tan(pi/22)
Height of Hendecagon=Perimeter of Hendecagon/(22*tan(pi/22))

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

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

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

Height 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 Height of Hendecagon given Diagonal across Four Sides can be measured.

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