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Perimeter of Hendecagon given Area Formula

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GoPerimeter of Hendecagon given Width Formula

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Perimeter of Hendecagon is the total distance around the edge of the Hendecagon. Check FAQs

P = 11 \cdot \sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{11})}{11}}

P - Perimeter of Hendecagon?A - Area of Hendecagon?π - Archimedes' constant?

Perimeter of Hendecagon given Area Example

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

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

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

55.1008 = 11 \cdot \sqrt{\frac{4 \cdot 235 \cdot \tan (\frac{3.1416}{11})}{11}}

55.1008m = 11 \cdot \sqrt{\frac{4 \cdot 235m² \cdot \tan (\frac{3.1416}{11})}{11}}

55.1008 = 11 \cdot \sqrt{\frac{4 \cdot 235 \cdot \tan (\frac{3.1416}{11})}{11}}

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Perimeter of Hendecagon given Area Solution

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

FIRST Step Consider the formula

P = 11 \cdot \sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{11})}{11}}

Next Step Substitute values of Variables

∴

P = 11 \cdot \sqrt{\frac{4 \cdot 235m² \cdot \tan (\frac{π}{11})}{11}}

Next Step Substitute values of Constants

∴

P = 11 \cdot \sqrt{\frac{4 \cdot 235m² \cdot \tan (\frac{3.1416}{11})}{11}}

Next Step Prepare to Evaluate

∴

P = 11 \cdot \sqrt{\frac{4 \cdot 235 \cdot \tan (\frac{3.1416}{11})}{11}}

Next Step Evaluate

∴

P = 55.1007979704715m

LAST Step Rounding Answer

∴

P = 55.1008m

Perimeter of Hendecagon given Area Formula Elements

Variables

Constants

Functions

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

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 Perimeter of Hendecagon

Go Perimeter of Hendecagon

P = 11 \cdot S

Go Perimeter of Hendecagon given Width

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

Other formulas in Perimeter 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 Perimeter of Hendecagon given Area?

Perimeter of Hendecagon given Area evaluator uses Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11) to evaluate the Perimeter of Hendecagon, Perimeter of Hendecagon given Area formula is defined as the total distance around the edge of the Hendecagon, calculated using area. Perimeter of Hendecagon is denoted by P symbol.

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

FAQs on Perimeter of Hendecagon given Area

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

The formula of Perimeter of Hendecagon given Area is expressed as Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11). Here is an example- 55.1008 = 11*sqrt((4*235*tan(pi/11))/11).

How to calculate Perimeter of Hendecagon given Area?

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

What are the other ways to Calculate Perimeter of Hendecagon?

Here are the different ways to Calculate Perimeter of Hendecagon-

Perimeter of Hendecagon=11*Side of Hendecagon
Perimeter of Hendecagon=11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11))

Can the Perimeter of Hendecagon given Area be negative?

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

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

Perimeter 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 Perimeter of Hendecagon given Area can be measured.

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