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Area of Hendecagon Formula

GoArea of Hendecagon given Height 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 = \frac{11}{4} \cdot \frac{S^{2}}{\tan (\frac{π}{11})}

A - Area of Hendecagon?S - Side of Hendecagon?π - Archimedes' constant?

Area of Hendecagon Example

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

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

Here is how the Area of Hendecagon equation looks like.

234.141 = \frac{11}{4} \cdot \frac{5^{2}}{\tan (\frac{3.1416}{11})}

234.141m² = \frac{11}{4} \cdot \frac{{5m}^{2}}{\tan (\frac{3.1416}{11})}

234.141 = \frac{11}{4} \cdot \frac{5^{2}}{\tan (\frac{3.1416}{11})}

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Area of Hendecagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{11}{4} \cdot \frac{{5m}^{2}}{\tan (\frac{π}{11})}

Next Step Substitute values of Constants

∴

A = \frac{11}{4} \cdot \frac{{5m}^{2}}{\tan (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

A = \frac{11}{4} \cdot \frac{5^{2}}{\tan (\frac{3.1416}{11})}

Next Step Evaluate

∴

A = 234.140997673636m²

LAST Step Rounding Answer

∴

A = 234.141m²

Area of Hendecagon 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

Side of Hendecagon

Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side 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 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})}

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?

Area of Hendecagon evaluator uses Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11) to evaluate the Area of Hendecagon, The Area of Hendecagon formula is defined as the amount of space covered by or occupied by Hendecagon in the plane. Area of Hendecagon is denoted by A symbol.

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

FAQs on Area of Hendecagon

What is the formula to find Area of Hendecagon?

The formula of Area of Hendecagon is expressed as Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11). Here is an example- 234.141 = 11/4*5^2/tan(pi/11).

How to calculate Area of Hendecagon?

With Side of Hendecagon (S) we can find Area of Hendecagon using the formula - Area of Hendecagon = 11/4*Side of Hendecagon^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*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
Area of Hendecagon=Perimeter of Hendecagon^2/(44*tan(pi/11))

Can the Area of Hendecagon be negative?

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

Which unit is used to measure Area of Hendecagon?

Area of Hendecagon 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 can be measured.

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