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Perimeter of Hexadecagon given Diagonal across Five Sides Formula

GoPerimeter of Hexadecagon Formula

GoPerimeter of Hexadecagon given Diagonal across Two Sides Formula

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

P = 16 \cdot d 5 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{5 \cdot π}{16})}

P - Perimeter of Hexadecagon?d₅ - Diagonal across Five Sides of Hexadecagon?π - Archimedes' constant?

Perimeter of Hexadecagon given Diagonal across Five Sides Example

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

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

Here is how the Perimeter of Hexadecagon given Diagonal across Five Sides equation looks like.

78.8367 = 16 \cdot 21 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

78.8367m = 16 \cdot 21m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

78.8367 = 16 \cdot 21 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

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Perimeter of Hexadecagon given Diagonal across Five Sides Solution

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

FIRST Step Consider the formula

P = 16 \cdot d 5 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{5 \cdot π}{16})}

Next Step Substitute values of Variables

∴

P = 16 \cdot 21m \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{5 \cdot π}{16})}

Next Step Substitute values of Constants

∴

P = 16 \cdot 21m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

Next Step Prepare to Evaluate

∴

P = 16 \cdot 21 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

Next Step Evaluate

∴

P = 78.8367334506597m

LAST Step Rounding Answer

∴

P = 78.8367m

Perimeter of Hexadecagon given Diagonal across Five Sides Formula Elements

Variables

Constants

Functions

Perimeter of Hexadecagon

Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Hexadecagon

Diagonal across Five Sides of Hexadecagon

Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Five Sides of Hexadecagon

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 Hexadecagon

Go Perimeter of Hexadecagon

P = 16 \cdot S

Go Perimeter of Hexadecagon given Diagonal across Two Sides

P = 16 \cdot d 2 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{π}{8})}

Go Perimeter of Hexadecagon given Height

P = 16 \cdot h \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{7 \cdot π}{16})}

Go Perimeter of Hexadecagon given Diagonal across Eight Sides

P = 16 \cdot d 8 \cdot \sin (\frac{π}{16})

How to Evaluate Perimeter of Hexadecagon given Diagonal across Five Sides?

Perimeter of Hexadecagon given Diagonal across Five Sides evaluator uses Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16) to evaluate the Perimeter of Hexadecagon, Perimeter of Hexadecagon given Diagonal across Five Sides formula is defined as the total distance around the edge of the figure, calculated using a diagonal across five sides. Perimeter of Hexadecagon is denoted by P symbol.

How to evaluate Perimeter of Hexadecagon given Diagonal across Five Sides using this online evaluator? To use this online evaluator for Perimeter of Hexadecagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Hexadecagon (d₅) and hit the calculate button.

FAQs on Perimeter of Hexadecagon given Diagonal across Five Sides

What is the formula to find Perimeter of Hexadecagon given Diagonal across Five Sides?

The formula of Perimeter of Hexadecagon given Diagonal across Five Sides is expressed as Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16). Here is an example- 78.83673 = 16*21*sin(pi/16)/sin((5*pi)/16).

How to calculate Perimeter of Hexadecagon given Diagonal across Five Sides?

With Diagonal across Five Sides of Hexadecagon (d₅) we can find Perimeter of Hexadecagon given Diagonal across Five Sides using the formula - Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Perimeter of Hexadecagon?

Here are the different ways to Calculate Perimeter of Hexadecagon-

Perimeter of Hexadecagon=16*Side of Hexadecagon
Perimeter of Hexadecagon=16*Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)
Perimeter of Hexadecagon=16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))

Can the Perimeter of Hexadecagon given Diagonal across Five Sides be negative?

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

Which unit is used to measure Perimeter of Hexadecagon given Diagonal across Five Sides?

Perimeter of Hexadecagon given Diagonal across Five 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 Hexadecagon given Diagonal across Five Sides can be measured.

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