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Perimeter of Hendecagon given Diagonal across Four Sides Formula

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

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

P - Perimeter of Hendecagon?d₄ - Diagonal across Four Sides of Hendecagon?π - Archimedes' constant?

Perimeter of Hendecagon given Diagonal across Four Sides Example

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

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

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

54.511 = 11 \cdot \frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

54.511m = 11 \cdot \frac{16m \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

54.511 = 11 \cdot \frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

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Perimeter of Hendecagon given Diagonal across Four Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 11 \cdot \frac{16m \cdot \sin (\frac{π}{11})}{\sin (\frac{4 \cdot π}{11})}

Next Step Substitute values of Constants

∴

P = 11 \cdot \frac{16m \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

Next Step Prepare to Evaluate

∴

P = 11 \cdot \frac{16 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{4 \cdot 3.1416}{11})}

Next Step Evaluate

∴

P = 54.5109783487403m

LAST Step Rounding Answer

∴

P = 54.511m

Perimeter of Hendecagon given Diagonal across Four Sides 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

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)

Other Formulas to find Perimeter of Hendecagon

Go Perimeter of Hendecagon

P = 11 \cdot S

Go Perimeter of Hendecagon given Area

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

Go Perimeter of Hendecagon given Circumradius

P = 22 \cdot r c \cdot \sin (\frac{π}{11})

Go Perimeter of Hendecagon given Height

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

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

Perimeter of Hendecagon given Diagonal across Four Sides evaluator uses Perimeter of Hendecagon = 11*(Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11) to evaluate the Perimeter of Hendecagon, The Perimeter of Hendecagon given Diagonal across Four Sides formula is defined as the total distance around the edge of the Hendecagon, calculated using diagonal across four sides. Perimeter of Hendecagon is denoted by P symbol.

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

FAQs on Perimeter of Hendecagon given Diagonal across Four Sides

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

The formula of Perimeter of Hendecagon given Diagonal across Four Sides is expressed as Perimeter of Hendecagon = 11*(Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11). Here is an example- 54.51098 = 11*(16*sin(pi/11))/sin((4*pi)/11).

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

With Diagonal across Four Sides of Hendecagon (d₄) we can find Perimeter of Hendecagon given Diagonal across Four Sides using the formula - Perimeter of Hendecagon = 11*(Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11). This formula also uses Archimedes' constant and Sine (sin) 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*sqrt((4*Area of Hendecagon*tan(pi/11))/11)
Perimeter of Hendecagon=22*Circumradius of Hendecagon*sin(pi/11)

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

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

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

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

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