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

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GoDiagonal of Hexadecagon across Three Sides given Height Formula

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

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

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

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

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

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

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

14.0318 = 21 \cdot \frac{\sin (\frac{3 \cdot 3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

14.0318m = 21m \cdot \frac{\sin (\frac{3 \cdot 3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

14.0318 = 21 \cdot \frac{\sin (\frac{3 \cdot 3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 3 = 21m \cdot \frac{\sin (\frac{3 \cdot π}{16})}{\sin (\frac{5 \cdot π}{16})}

Next Step Substitute values of Constants

∴

d 3 = 21m \cdot \frac{\sin (\frac{3 \cdot 3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

Next Step Prepare to Evaluate

∴

d 3 = 21 \cdot \frac{\sin (\frac{3 \cdot 3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})}

Next Step Evaluate

∴

d 3 = 14.0317513963053m

LAST Step Rounding Answer

∴

d 3 = 14.0318m

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

Variables

Constants

Functions

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

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

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 Three Sides of Hexadecagon

Go Diagonal of Hexadecagon across Three Sides

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

Go Diagonal of Hexadecagon across Three Sides given Height

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

Go Diagonal of Hexadecagon across Three Sides given Area

d 3 = \sqrt{\frac{A}{4 \cdot \cot (\frac{π}{16})}} \cdot \frac{\sin (\frac{3 \cdot π}{16})}{\sin (\frac{π}{16})}

Go Diagonal of Hexadecagon across Three Sides given Perimeter

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

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

Diagonal of Hexadecagon across Three Sides given Diagonal across Five Sides evaluator uses Diagonal across Three Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon*sin((3*pi)/16)/sin((5*pi)/16) to evaluate the Diagonal across Three Sides of Hexadecagon, The Diagonal of Hexadecagon across Three Sides given Diagonal across Five Sides formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Hexadecagon, calculated using diagonal across five sides. Diagonal across Three Sides of Hexadecagon is denoted by d₃ symbol.

How to evaluate Diagonal of Hexadecagon across Three Sides given Diagonal across Five Sides using this online evaluator? To use this online evaluator for Diagonal of Hexadecagon across Three Sides given Diagonal across Five Sides, enter Diagonal across Five Sides of Hexadecagon (d₅) and hit the calculate button.

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

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

The formula of Diagonal of Hexadecagon across Three Sides given Diagonal across Five Sides is expressed as Diagonal across Three Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon*sin((3*pi)/16)/sin((5*pi)/16). Here is an example- 14.03175 = 21*sin((3*pi)/16)/sin((5*pi)/16).

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

With Diagonal across Five Sides of Hexadecagon (d₅) we can find Diagonal of Hexadecagon across Three Sides given Diagonal across Five Sides using the formula - Diagonal across Three Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon*sin((3*pi)/16)/sin((5*pi)/16). This formula also uses Archimedes' constant and Sine (sin) function(s).

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

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

Diagonal across Three Sides of Hexadecagon=sin((3*pi)/16)/sin(pi/16)*Side of Hexadecagon
Diagonal across Three Sides of Hexadecagon=Height of Hexadecagon*sin((3*pi)/16)/sin((7*pi)/16)
Diagonal across Three Sides of Hexadecagon=sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((3*pi)/16)/sin(pi/16)

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

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

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

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

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