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Height of Hexadecagon given Diagonal across Three Sides Formula

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GoHeight of Hexadecagon given Diagonal across Eight Sides 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 = d 3 \cdot \frac{\sin (\frac{7 \cdot π}{16})}{\sin (\frac{3 \cdot π}{16})}

h - Height of Hexadecagon?d₃ - Diagonal across Three Sides of Hexadecagon?π - Archimedes' constant?

Height of Hexadecagon given Diagonal across Three Sides Example

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

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

Here is how the Height of Hexadecagon given Diagonal across Three Sides equation looks like.

24.7151 = 14 \cdot \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

24.7151m = 14m \cdot \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

24.7151 = 14 \cdot \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

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Height of Hexadecagon given Diagonal across Three Sides Solution

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

FIRST Step Consider the formula

h = d 3 \cdot \frac{\sin (\frac{7 \cdot π}{16})}{\sin (\frac{3 \cdot π}{16})}

Next Step Substitute values of Variables

∴

h = 14m \cdot \frac{\sin (\frac{7 \cdot π}{16})}{\sin (\frac{3 \cdot π}{16})}

Next Step Substitute values of Constants

∴

h = 14m \cdot \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

Next Step Prepare to Evaluate

∴

h = 14 \cdot \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

Next Step Evaluate

∴

h = 24.7151361062225m

LAST Step Rounding Answer

∴

h = 24.7151m

Height of Hexadecagon given Diagonal across Three Sides 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

Diagonal across Three Sides of Hexadecagon

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

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Three 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 Height of Hexadecagon

Go Height of Hexadecagon

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

Go Height of Hexadecagon given Diagonal across Eight Sides

h = d 8 \cdot \sin (\frac{7 \cdot π}{16})

Go Height of Hexadecagon given Diagonal across Six Sides

h = d 6 \cdot \frac{\sin (\frac{7 \cdot π}{16})}{\sin (\frac{3 \cdot π}{8})}

Go Height of Hexadecagon given Diagonal across Five Sides

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

How to Evaluate Height of Hexadecagon given Diagonal across Three Sides?

Height of Hexadecagon given Diagonal across Three Sides evaluator uses Height of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/16) to evaluate the Height of Hexadecagon, Height of Hexadecagon given Diagonal across Three Sides formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hexadecagon, calculated using a diagonal across three sides. Height of Hexadecagon is denoted by h symbol.

How to evaluate Height of Hexadecagon given Diagonal across Three Sides using this online evaluator? To use this online evaluator for Height of Hexadecagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Hexadecagon (d₃) and hit the calculate button.

FAQs on Height of Hexadecagon given Diagonal across Three Sides

What is the formula to find Height of Hexadecagon given Diagonal across Three Sides?

The formula of Height of Hexadecagon given Diagonal across Three Sides is expressed as Height of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/16). Here is an example- 24.71514 = 14*sin((7*pi)/16)/sin((3*pi)/16).

How to calculate Height of Hexadecagon given Diagonal across Three Sides?

With Diagonal across Three Sides of Hexadecagon (d₃) we can find Height of Hexadecagon given Diagonal across Three Sides using the formula - Height of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/16). 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=sin((7*pi)/16)/sin(pi/16)*Side of Hexadecagon
Height of Hexadecagon=Diagonal across Eight Sides of Hexadecagon*sin((7*pi)/16)
Height of Hexadecagon=Diagonal across Six Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/8)

Can the Height of Hexadecagon given Diagonal across Three Sides be negative?

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

Which unit is used to measure Height of Hexadecagon given Diagonal across Three Sides?

Height of Hexadecagon given Diagonal across Three Sides 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 given Diagonal across Three Sides can be measured.

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