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Side of Hexadecagon given Height Formula

GoSide of Hexadecagon given Area Formula

GoSide of Hexadecagon given Perimeter Formula

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

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

S - Side of Hexadecagon?h - Height of Hexadecagon?π - Archimedes' constant?

Side of Hexadecagon given Height Example

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Here is how the Side of Hexadecagon given Height equation looks like with Values.

Here is how the Side of Hexadecagon given Height equation looks like with Units.

Here is how the Side of Hexadecagon given Height equation looks like.

4.9728 = 25 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{7 \cdot 3.1416}{16})}

4.9728m = 25m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{7 \cdot 3.1416}{16})}

4.9728 = 25 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{7 \cdot 3.1416}{16})}

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Side of Hexadecagon given Height Solution

Follow our step by step solution on how to calculate Side of Hexadecagon given Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = 25m \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{7 \cdot π}{16})}

Next Step Substitute values of Constants

∴

S = 25m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{7 \cdot 3.1416}{16})}

Next Step Prepare to Evaluate

∴

S = 25 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{7 \cdot 3.1416}{16})}

Next Step Evaluate

∴

S = 4.97280918449145m

LAST Step Rounding Answer

∴

S = 4.9728m

Side of Hexadecagon given Height 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

Height of Hexadecagon

Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Area

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

Go Side of Hexadecagon given Perimeter

S = \frac{P}{16}

Go Side of Hexadecagon given Circumradius

S = \frac{r c}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

Go Side of Hexadecagon given Inradius

S = \frac{2 \cdot r i}{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}

How to Evaluate Side of Hexadecagon given Height?

Side of Hexadecagon given Height evaluator uses Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16) to evaluate the Side of Hexadecagon, Side of Hexadecagon given Height formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using height. Side of Hexadecagon is denoted by S symbol.

How to evaluate Side of Hexadecagon given Height using this online evaluator? To use this online evaluator for Side of Hexadecagon given Height, enter Height of Hexadecagon (h) and hit the calculate button.

FAQs on Side of Hexadecagon given Height

What is the formula to find Side of Hexadecagon given Height?

The formula of Side of Hexadecagon given Height is expressed as Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16). Here is an example- 4.972809 = 25*sin(pi/16)/sin((7*pi)/16).

How to calculate Side of Hexadecagon given Height?

With Height of Hexadecagon (h) we can find Side of Hexadecagon given Height using the formula - Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16). 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=sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
Side of Hexadecagon=Perimeter of Hexadecagon/16
Side of Hexadecagon=Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))

Can the Side of Hexadecagon given Height be negative?

No, the Side of Hexadecagon given Height, measured in Length cannot be negative.

Which unit is used to measure Side of Hexadecagon given Height?

Side of Hexadecagon given Height 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 Height can be measured.

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