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Area of Hendecagon given Diagonal across Four Sides Formula

GoArea of Hendecagon given Circumradius Formula

GoArea of Hendecagon given Inradius 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{{(\frac{d 4 \cdot \sin (\frac{π}{11})}{\sin (\frac{4 \cdot π}{11})})}^{2}}{\tan (\frac{π}{11})}

A - Area of Hendecagon?d₄ - Diagonal across Four Sides of Hendecagon?π - Archimedes' constant?

Area of Hendecagon given Diagonal across Four Sides Example

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

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

229.9959 = \frac{11}{4} \cdot \frac{{(\frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}^{2}}{\tan (\frac{3.1416}{11})}

229.9959m² = \frac{11}{4} \cdot \frac{{(\frac{16m \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}^{2}}{\tan (\frac{3.1416}{11})}

229.9959 = \frac{11}{4} \cdot \frac{{(\frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}^{2}}{\tan (\frac{3.1416}{11})}

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2D Geometry » fx Area of Hendecagon given Diagonal across Four Sides

Area of Hendecagon given Diagonal across Four Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

A = \frac{11}{4} \cdot \frac{{(\frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})})}^{2}}{\tan (\frac{3.1416}{11})}

Next Step Evaluate

∴

A = 229.995870759071m²

LAST Step Rounding Answer

∴

A = 229.9959m²

Area of Hendecagon given Diagonal across Four Sides 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

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 Area of Hendecagon

Go Area of Hendecagon given Circumradius

A = 11 \cdot \frac{{(r c \cdot \sin (\frac{π}{11}))}^{2}}{\tan (\frac{π}{11})}

Go Area of Hendecagon given Inradius

A = 11 \cdot \tan (\frac{π}{11}) \cdot {r i}^{2}

Go Area of Hendecagon given Diagonal across Five Sides

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

Go Area of Hendecagon given Diagonal across Three Sides

A = \frac{11}{4} \cdot \frac{{(\frac{d 3 \cdot \sin (\frac{π}{11})}{\sin (\frac{3 \cdot π}{11})})}^{2}}{\tan (\frac{π}{11})}

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

Area of Hendecagon given Diagonal across Four Sides evaluator uses Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11) to evaluate the Area of Hendecagon, The Area of Hendecagon given Diagonal across Four Sides formula is defined as the amount of space covered by or occupied by Hendecagon in the plane, calculated using diagonal across four sides. Area of Hendecagon is denoted by A symbol.

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

FAQs on Area of Hendecagon given Diagonal across Four Sides

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

The formula of Area of Hendecagon given Diagonal across Four Sides is expressed as Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11). Here is an example- 229.9959 = 11/4*((16*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11).

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

With Diagonal across Four Sides of Hendecagon (d₄) we can find Area of Hendecagon given Diagonal across Four Sides using the formula - Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11). This formula also uses Archimedes' constant and , Sine (sin), 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*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11))
Area of Hendecagon=11*tan(pi/11)*Inradius of Hendecagon^2
Area of Hendecagon=11/4*((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)

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

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

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

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

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