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Side of Hexadecagon given Diagonal across Six Sides Formula

GoSide of Hexadecagon given Diagonal across Two Sides Formula

GoSide of Hexadecagon given Diagonal across Three Sides Formula

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Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon. Check FAQs

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

S - Side of Hexadecagon?d₆ - Diagonal across Six Sides of Hexadecagon?π - Archimedes' constant?

Side of Hexadecagon given Diagonal across Six Sides Example

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

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

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

5.0679 = 24 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{8})}

5.0679m = 24m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{8})}

5.0679 = 24 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{8})}

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Side of Hexadecagon given Diagonal across Six Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

S = 5.06794182966693m

LAST Step Rounding Answer

∴

S = 5.0679m

Side of Hexadecagon given Diagonal across Six Sides Formula Elements

Variables

Constants

Functions

Side of Hexadecagon

Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side 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 Side of Hexadecagon

Go Side of Hexadecagon given Diagonal across Two Sides

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

Go Side of Hexadecagon given Diagonal across Three Sides

S = d 3 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{3 \cdot π}{16})}

Go Side of Hexadecagon given Area

S = \sqrt{\frac{A}{4 \cdot \cot (\frac{π}{16})}}

Go Side of Hexadecagon given Diagonal across Four Sides

S = \sqrt{2} \cdot d 4 \cdot \sin (\frac{π}{16})

How to Evaluate Side of Hexadecagon given Diagonal across Six Sides?

Side of Hexadecagon given Diagonal across Six Sides evaluator uses Side of Hexadecagon = Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8) to evaluate the Side of Hexadecagon, Side of Hexadecagon given Diagonal across Six Sides formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using diagonal across six sides. Side of Hexadecagon is denoted by S symbol.

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

FAQs on Side of Hexadecagon given Diagonal across Six Sides

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

The formula of Side of Hexadecagon given Diagonal across Six Sides is expressed as Side of Hexadecagon = Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8). Here is an example- 5.067942 = 24*sin(pi/16)/sin((3*pi)/8).

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

With Diagonal across Six Sides of Hexadecagon (d₆) we can find Side of Hexadecagon given Diagonal across Six Sides using the formula - Side of Hexadecagon = 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 Side of Hexadecagon?

Here are the different ways to Calculate Side of Hexadecagon-

Side of Hexadecagon=Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)
Side of Hexadecagon=Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)
Side of Hexadecagon=sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

Can the Side of Hexadecagon given Diagonal across Six Sides be negative?

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

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

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

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