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Height of Hendecagon given Perimeter 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{P}{22 \cdot \tan (\frac{π}{22})}

h - Height of Hendecagon?P - Perimeter of Hendecagon?π - Archimedes' constant?

Height of Hendecagon given Perimeter Example

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

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

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

17.3879 = \frac{55}{22 \cdot \tan (\frac{3.1416}{22})}

17.3879m = \frac{55m}{22 \cdot \tan (\frac{3.1416}{22})}

17.3879 = \frac{55}{22 \cdot \tan (\frac{3.1416}{22})}

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Height of Hendecagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{55m}{22 \cdot \tan (\frac{π}{22})}

Next Step Substitute values of Constants

∴

h = \frac{55m}{22 \cdot \tan (\frac{3.1416}{22})}

Next Step Prepare to Evaluate

∴

h = \frac{55}{22 \cdot \tan (\frac{3.1416}{22})}

Next Step Evaluate

∴

h = 17.3878819294337m

LAST Step Rounding Answer

∴

h = 17.3879m

Height of Hendecagon given Perimeter 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

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

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

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

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

Go Height of Hendecagon given Area

h = \frac{\sqrt{A \cdot \frac{4 \cdot \tan (\frac{π}{11})}{11}}}{2 \cdot \tan (\frac{π}{22})}

How to Evaluate Height of Hendecagon given Perimeter?

Height of Hendecagon given Perimeter evaluator uses Height of Hendecagon = Perimeter of Hendecagon/(22*tan(pi/22)) to evaluate the Height of Hendecagon, Height of Hendecagon given Perimeter formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using its perimeter. Height of Hendecagon is denoted by h symbol.

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

FAQs on Height of Hendecagon given Perimeter

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

The formula of Height of Hendecagon given Perimeter is expressed as Height of Hendecagon = Perimeter of Hendecagon/(22*tan(pi/22)). Here is an example- 17.38788 = 55/(22*tan(pi/22)).

How to calculate Height of Hendecagon given Perimeter?

With Perimeter of Hendecagon (P) we can find Height of Hendecagon given Perimeter using the formula - Height of Hendecagon = Perimeter of Hendecagon/(22*tan(pi/22)). This formula also uses Archimedes' constant and 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=Side of Hendecagon/(2*tan(pi/22))

Can the Height of Hendecagon given Perimeter be negative?

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

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

Height of Hendecagon given Perimeter 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 Perimeter can be measured.

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