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Height of Hexadecagon given Perimeter Formula

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GoHeight of Hexadecagon given Area 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 \frac{P}{16}

h - Height of Hexadecagon?P - Perimeter of Hexadecagon?π - Archimedes' constant?

Height of Hexadecagon given Perimeter Example

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

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

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

25.1367 = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot \frac{80}{16}

25.1367m = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot \frac{80m}{16}

25.1367 = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot \frac{80}{16}

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Height of Hexadecagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{\sin (\frac{7 \cdot π}{16})}{\sin (\frac{π}{16})} \cdot \frac{80m}{16}

Next Step Substitute values of Constants

∴

h = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot \frac{80m}{16}

Next Step Prepare to Evaluate

∴

h = \frac{\sin (\frac{7 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot \frac{80}{16}

Next Step Evaluate

∴

h = 25.1366974606292m

LAST Step Rounding Answer

∴

h = 25.1367m

Height of Hexadecagon given Perimeter 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

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

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 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 Diagonal across Seven Sides

h = \frac{d 7}{1}

How to Evaluate Height of Hexadecagon given Perimeter?

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

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

FAQs on Height of Hexadecagon given Perimeter

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

The formula of Height of Hexadecagon given Perimeter is expressed as Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/16. Here is an example- 25.1367 = sin((7*pi)/16)/sin(pi/16)*80/16.

How to calculate Height of Hexadecagon given Perimeter?

With Perimeter of Hexadecagon (P) we can find Height of Hexadecagon given Perimeter using the formula - Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/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=sqrt(Area of Hexadecagon/(4*tan(pi/16)))
Height of Hexadecagon=2*Inradius of Hexadecagon

Can the Height of Hexadecagon given Perimeter be negative?

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

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

Height of Hexadecagon given Perimeter 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 Perimeter can be measured.

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