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Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides Formula

GoDiagonal of Hexadecagon across Five Sides Formula

GoDiagonal of Hexadecagon across Five Sides given Height Formula

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Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon. Check FAQs

d 5 = d 3 \cdot \frac{\sin (\frac{5 \cdot π}{16})}{\sin (\frac{3 \cdot π}{16})}

d₅ - Diagonal across Five Sides of Hexadecagon?d₃ - Diagonal across Three Sides of Hexadecagon?π - Archimedes' constant?

Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides Example

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

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

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

20.9525 = 14 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

20.9525m = 14m \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

20.9525 = 14 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

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Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides Solution

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

FIRST Step Consider the formula

d 5 = d 3 \cdot \frac{\sin (\frac{5 \cdot π}{16})}{\sin (\frac{3 \cdot π}{16})}

Next Step Substitute values of Variables

∴

d 5 = 14m \cdot \frac{\sin (\frac{5 \cdot π}{16})}{\sin (\frac{3 \cdot π}{16})}

Next Step Substitute values of Constants

∴

d 5 = 14m \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

Next Step Prepare to Evaluate

∴

d 5 = 14 \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3 \cdot 3.1416}{16})}

Next Step Evaluate

∴

d 5 = 20.9524806773168m

LAST Step Rounding Answer

∴

d 5 = 20.9525m

Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides Formula Elements

Variables

Constants

Functions

Diagonal across Five Sides of Hexadecagon

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

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Five Sides 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 Diagonal across Five Sides of Hexadecagon

Go Diagonal of Hexadecagon across Five Sides

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

Go Diagonal of Hexadecagon across Five Sides given Height

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

Go Diagonal of Hexadecagon across Five Sides given Area

d 5 = \sqrt{\frac{A}{4 \cdot \cot (\frac{π}{16})}} \cdot \frac{\sin (\frac{5 \cdot π}{16})}{\sin (\frac{π}{16})}

Go Diagonal of Hexadecagon across Five Sides given Perimeter

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

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

Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides evaluator uses Diagonal across Five Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((5*pi)/16)/sin((3*pi)/16) to evaluate the Diagonal across Five Sides of Hexadecagon, The Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across five sides of Hexadecagon, calculated using diagonal across three sides. Diagonal across Five Sides of Hexadecagon is denoted by d₅ symbol.

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

FAQs on Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides

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

The formula of Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides is expressed as Diagonal across Five Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((5*pi)/16)/sin((3*pi)/16). Here is an example- 20.95248 = 14*sin((5*pi)/16)/sin((3*pi)/16).

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

With Diagonal across Three Sides of Hexadecagon (d₃) we can find Diagonal of Hexadecagon across Five Sides given Diagonal across Three Sides using the formula - Diagonal across Five Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((5*pi)/16)/sin((3*pi)/16). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Diagonal across Five Sides of Hexadecagon?

Here are the different ways to Calculate Diagonal across Five Sides of Hexadecagon-

Diagonal across Five Sides of Hexadecagon=sin((5*pi)/16)/sin(pi/16)*Side of Hexadecagon
Diagonal across Five Sides of Hexadecagon=Height of Hexadecagon*sin((5*pi)/16)/sin((7*pi)/16)
Diagonal across Five Sides of Hexadecagon=sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((5*pi)/16)/sin(pi/16)

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

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

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

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

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