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Height of Hendecagon given Area Formula

GoHeight of Hendecagon 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{\sqrt{A \cdot \frac{4 \cdot \tan (\frac{π}{11})}{11}}}{2 \cdot \tan (\frac{π}{22})}

h - Height of Hendecagon?A - Area of Hendecagon?π - Archimedes' constant?

Height of Hendecagon given Area Example

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

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

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

17.4197 = \frac{\sqrt{235 \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \tan (\frac{3.1416}{22})}

17.4197m = \frac{\sqrt{235m² \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \tan (\frac{3.1416}{22})}

17.4197 = \frac{\sqrt{235 \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \tan (\frac{3.1416}{22})}

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Height of Hendecagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{\sqrt{235m² \cdot \frac{4 \cdot \tan (\frac{π}{11})}{11}}}{2 \cdot \tan (\frac{π}{22})}

Next Step Substitute values of Constants

∴

h = \frac{\sqrt{235m² \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \tan (\frac{3.1416}{22})}

Next Step Prepare to Evaluate

∴

h = \frac{\sqrt{235 \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \tan (\frac{3.1416}{22})}

Next Step Evaluate

∴

h = 17.4197485332389m

LAST Step Rounding Answer

∴

h = 17.4197m

Height of Hendecagon given Area 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

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

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 Height of Hendecagon

Go Height of Hendecagon

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

Other formulas in Height 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 Height of Hendecagon given Area?

Height of Hendecagon given Area evaluator uses Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22)) to evaluate the Height of Hendecagon, Height of Hendecagon given Area formula is defined as the perpendicular line drawn from one vertex to its opposite side of the Hendecagon, calculated using the area. Height of Hendecagon is denoted by h symbol.

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

FAQs on Height of Hendecagon given Area

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

The formula of Height of Hendecagon given Area is expressed as Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22)). Here is an example- 17.41975 = sqrt(235*(4*tan(pi/11))/11)/(2*tan(pi/22)).

How to calculate Height of Hendecagon given Area?

With Area of Hendecagon (A) we can find Height of Hendecagon given Area using the formula - Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22)). This formula also uses Archimedes' constant and , Tangent (tan), Square Root (sqrt) 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=Side of Hendecagon/(2*tan(pi/22))

Can the Height of Hendecagon given Area be negative?

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

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

Height 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 Height of Hendecagon given Area can be measured.

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