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Perimeter of Hexadecagon given Diagonal across Six 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 6 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{3 \cdot π}{8})}

P - Perimeter of Hexadecagon?d₆ - Diagonal across Six Sides of Hexadecagon?π - Archimedes' constant?

Perimeter of Hexadecagon given Diagonal across Six Sides Example

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

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

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

81.0871 = 16 \cdot 24 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{8})}

81.0871m = 16 \cdot 24m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{8})}

81.0871 = 16 \cdot 24 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{8})}

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Perimeter of Hexadecagon given Diagonal across Six Sides Solution

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

FIRST Step Consider the formula

P = 16 \cdot d 6 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{3 \cdot π}{8})}

Next Step Substitute values of Variables

∴

P = 16 \cdot 24m \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{3 \cdot π}{8})}

Next Step Substitute values of Constants

∴

P = 16 \cdot 24m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{8})}

Next Step Prepare to Evaluate

∴

P = 16 \cdot 24 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{8})}

Next Step Evaluate

∴

P = 81.0870692746709m

LAST Step Rounding Answer

∴

P = 81.0871m

Perimeter of Hexadecagon given Diagonal across Six 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 Six Sides of Hexadecagon

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

Symbol: d₆

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Six 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 Six Sides?

Perimeter of Hexadecagon given Diagonal across Six Sides evaluator uses Perimeter of Hexadecagon = 16*Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8) to evaluate the Perimeter of Hexadecagon, Perimeter of Hexadecagon given Diagonal across Six Sides formula is defined as the total distance around the edge of the figure, calculated using a diagonal across six sides. Perimeter of Hexadecagon is denoted by P symbol.

How to evaluate Perimeter of Hexadecagon given Diagonal across Six Sides using this online evaluator? To use this online evaluator for Perimeter of Hexadecagon given Diagonal across Six Sides, enter Diagonal across Six Sides of Hexadecagon (d₆) and hit the calculate button.

FAQs on Perimeter of Hexadecagon given Diagonal across Six Sides

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

The formula of Perimeter of Hexadecagon given Diagonal across Six Sides is expressed as Perimeter of Hexadecagon = 16*Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8). Here is an example- 81.08707 = 16*24*sin(pi/16)/sin((3*pi)/8).

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

With Diagonal across Six Sides of Hexadecagon (d₆) we can find Perimeter of Hexadecagon given Diagonal across Six Sides using the formula - Perimeter of Hexadecagon = 16*Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*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*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 Six Sides be negative?

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

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

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

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