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Area of Hendecagon given Height Formula

GoArea of Hendecagon Formula

GoArea of Hendecagon given Perimeter Formula

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Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon. Check FAQs

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

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

Area of Hendecagon given Height Example

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

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

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

223.8113 = 11 \cdot \frac{{(17 \cdot \tan (\frac{3.1416}{22}))}^{2}}{\tan (\frac{3.1416}{11})}

223.8113m² = 11 \cdot \frac{{(17m \cdot \tan (\frac{3.1416}{22}))}^{2}}{\tan (\frac{3.1416}{11})}

223.8113 = 11 \cdot \frac{{(17 \cdot \tan (\frac{3.1416}{22}))}^{2}}{\tan (\frac{3.1416}{11})}

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Area of Hendecagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 11 \cdot \frac{{(17m \cdot \tan (\frac{π}{22}))}^{2}}{\tan (\frac{π}{11})}

Next Step Substitute values of Constants

∴

A = 11 \cdot \frac{{(17m \cdot \tan (\frac{3.1416}{22}))}^{2}}{\tan (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

A = 11 \cdot \frac{{(17 \cdot \tan (\frac{3.1416}{22}))}^{2}}{\tan (\frac{3.1416}{11})}

Next Step Evaluate

∴

A = 223.811265206999m²

LAST Step Rounding Answer

∴

A = 223.8113m²

Area of Hendecagon given Height Formula Elements

Variables

Constants

Functions

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

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

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 Area of Hendecagon

Go Area of Hendecagon

A = \frac{11}{4} \cdot \frac{S^{2}}{\tan (\frac{π}{11})}

Go Area of Hendecagon given Perimeter

A = \frac{P^{2}}{44 \cdot \tan (\frac{π}{11})}

Other formulas in Area of Hendecagon category

Go Diagonal of Hendecagon across Five Sides

d 5 = \frac{S \cdot \sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

Go Diagonal of Hendecagon across Five Sides given Diagonal across Two Sides

d 5 = d 2 \cdot \frac{\sin (\frac{5 \cdot π}{11})}{\sin (\frac{2 \cdot π}{11})}

Go Diagonal of Hendecagon across Four Sides

d 4 = \frac{S \cdot \sin (\frac{4 \cdot π}{11})}{\sin (\frac{π}{11})}

Go Diagonal of Hendecagon across Four Sides given Width

d 4 = W \cdot \frac{\sin (\frac{4 \cdot π}{11})}{\sin (\frac{5 \cdot π}{11})}

How to Evaluate Area of Hendecagon given Height?

Area of Hendecagon given Height evaluator uses Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11) to evaluate the Area of Hendecagon, Area of Hendecagon given Height formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using height. Area of Hendecagon is denoted by A symbol.

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

FAQs on Area of Hendecagon given Height

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

The formula of Area of Hendecagon given Height is expressed as Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11). Here is an example- 223.8113 = 11*(17*tan(pi/22))^2/tan(pi/11).

How to calculate Area of Hendecagon given Height?

With Height of Hendecagon (h) we can find Area of Hendecagon given Height using the formula - Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11). This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Area of Hendecagon?

Here are the different ways to Calculate Area of Hendecagon-

Area of Hendecagon=11/4*Side of Hendecagon^2/tan(pi/11)
Area of Hendecagon=Perimeter of Hendecagon^2/(44*tan(pi/11))

Can the Area of Hendecagon given Height be negative?

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

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

Area of Hendecagon given Height is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Hendecagon given Height can be measured.

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