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Perimeter 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 2 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{π}{8})}

P - Perimeter of Hexadecagon?d₂ - Diagonal across Two Sides of Hexadecagon?π - Archimedes' constant?

Perimeter of Hexadecagon given Diagonal across Two Sides Example

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

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

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

81.5673 = 16 \cdot 10 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3.1416}{8})}

81.5673m = 16 \cdot 10m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3.1416}{8})}

81.5673 = 16 \cdot 10 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3.1416}{8})}

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Perimeter of Hexadecagon given Diagonal across Two Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 16 \cdot 10m \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{π}{8})}

Next Step Substitute values of Constants

∴

P = 16 \cdot 10m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3.1416}{8})}

Next Step Prepare to Evaluate

∴

P = 16 \cdot 10 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3.1416}{8})}

Next Step Evaluate

∴

P = 81.5672926566655m

LAST Step Rounding Answer

∴

P = 81.5673m

Perimeter of Hexadecagon given Diagonal across Two 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 Two Sides of Hexadecagon

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

Symbol: d₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Two 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 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})

Go Perimeter of Hexadecagon given Diagonal across Seven Sides

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

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

Perimeter of Hexadecagon given Diagonal across Two Sides evaluator uses Perimeter of Hexadecagon = 16*Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8) to evaluate the Perimeter of Hexadecagon, Perimeter of Hexadecagon given Diagonal across Two Sides formula is defined as the total distance around the edge of the figure, calculated using a diagonal across two sides. Perimeter of Hexadecagon is denoted by P symbol.

How to evaluate Perimeter of Hexadecagon given Diagonal across Two Sides using this online evaluator? To use this online evaluator for Perimeter of Hexadecagon given Diagonal across Two Sides, enter Diagonal across Two Sides of Hexadecagon (d₂) and hit the calculate button.

FAQs on Perimeter of Hexadecagon given Diagonal across Two Sides

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

The formula of Perimeter of Hexadecagon given Diagonal across Two Sides is expressed as Perimeter of Hexadecagon = 16*Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8). Here is an example- 81.56729 = 16*10*sin(pi/16)/sin(pi/8).

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

With Diagonal across Two Sides of Hexadecagon (d₂) we can find Perimeter of Hexadecagon given Diagonal across Two Sides using the formula - Perimeter of Hexadecagon = 16*Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8). 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*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))
Perimeter of Hexadecagon=16*Diagonal across Eight Sides of Hexadecagon*sin(pi/16)

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

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

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

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

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