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Height of Hexadecagon Formula

GoHeight of Hexadecagon given Area Formula

GoHeight of Hexadecagon given Inradius Formula

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

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

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

Height of Hexadecagon Example

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

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

Here is how the Height of Hexadecagon equation looks like.

25.1367 = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot 5

25.1367m = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot 5m

25.1367 = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot 5

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Height of Hexadecagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{\sin (\frac{7 \cdot π}{16})}{\sin (\frac{π}{16})} \cdot 5m

Next Step Substitute values of Constants

∴

h = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot 5m

Next Step Prepare to Evaluate

∴

h = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot 5

Next Step Evaluate

∴

h = 25.1366974606292m

LAST Step Rounding Answer

∴

h = 25.1367m

Height of Hexadecagon Formula Elements

Variables

Constants

Functions

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

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

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 Height of Hexadecagon

Go Height of Hexadecagon given Area

h = \sqrt{\frac{A}{4 \cdot \tan (\frac{π}{16})}}

Go Height of Hexadecagon given Inradius

h = 2 \cdot r i

Go Height of Hexadecagon given Perimeter

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

Go Height of Hexadecagon given Diagonal across Seven Sides

h = \frac{d 7}{1}

How to Evaluate Height of Hexadecagon?

Height of Hexadecagon evaluator uses Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Side of Hexadecagon to evaluate the Height of Hexadecagon, Height of Hexadecagon formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hexadecagon. Height of Hexadecagon is denoted by h symbol.

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

FAQs on Height of Hexadecagon

What is the formula to find Height of Hexadecagon?

The formula of Height of Hexadecagon is expressed as Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Side of Hexadecagon. Here is an example- 25.1367 = sin((7*pi)/16)/sin(pi/16)*5.

How to calculate Height of Hexadecagon?

With Side of Hexadecagon (S) we can find Height of Hexadecagon using the formula - Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Side of Hexadecagon. This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Height of Hexadecagon?

Here are the different ways to Calculate Height of Hexadecagon-

Height of Hexadecagon=sqrt(Area of Hexadecagon/(4*tan(pi/16)))
Height of Hexadecagon=2*Inradius of Hexadecagon
Height of Hexadecagon=sin((7*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/16

Can the Height of Hexadecagon be negative?

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

Which unit is used to measure Height of Hexadecagon?

Height of Hexadecagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Hexadecagon can be measured.

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