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Perimeter of Hexadecagon given Height Formula

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GoPerimeter of Hexadecagon given Area Formula

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Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon. Check FAQs

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

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

Perimeter of Hexadecagon given Height Example

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

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

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

79.5649 = 16 \cdot 25 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{7 \cdot 3.1416}{16})}

79.5649m = 16 \cdot 25m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{7 \cdot 3.1416}{16})}

79.5649 = 16 \cdot 25 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{7 \cdot 3.1416}{16})}

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Perimeter of Hexadecagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P = 79.5649469518632m

LAST Step Rounding Answer

∴

P = 79.5649m

Perimeter of Hexadecagon given Height Formula Elements

Variables

Constants

Functions

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

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 Perimeter of Hexadecagon

Go Perimeter of Hexadecagon

P = 16 \cdot S

Go Perimeter of Hexadecagon given Area

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

How to Evaluate Perimeter of Hexadecagon given Height?

Perimeter of Hexadecagon given Height evaluator uses Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16)) to evaluate the Perimeter of Hexadecagon, Perimeter of Hexadecagon given Height formula is defined as the total distance around the edge of the figure, calculated using height. Perimeter of Hexadecagon is denoted by P symbol.

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

FAQs on Perimeter of Hexadecagon given Height

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

The formula of Perimeter of Hexadecagon given Height is expressed as Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16)). Here is an example- 79.56495 = 16*25*(sin(pi/16))/(sin((7*pi)/16)).

How to calculate Perimeter of Hexadecagon given Height?

With Height of Hexadecagon (h) we can find Perimeter of Hexadecagon given Height using the formula - Perimeter of Hexadecagon = 16*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 Perimeter of Hexadecagon?

Here are the different ways to Calculate Perimeter of Hexadecagon-

Perimeter of Hexadecagon=16*Side of Hexadecagon
Perimeter of Hexadecagon=16*sqrt(Area of Hexadecagon/(4*cot(pi/16)))

Can the Perimeter of Hexadecagon given Height be negative?

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

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

Perimeter 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 Perimeter of Hexadecagon given Height can be measured.

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