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Diagonal of Hexadecagon across Three Sides 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 = \frac{\sin (\frac{3 \cdot π}{16})}{\sin (\frac{π}{16})} \cdot S

d₃ - Diagonal across Three Sides of Hexadecagon?S - Side of Hexadecagon?π - Archimedes' constant?

Diagonal of Hexadecagon across Three Sides Example

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

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

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

14.2388 = \frac{\sin (\frac{3 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot 5

14.2388m = \frac{\sin (\frac{3 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot 5m

14.2388 = \frac{\sin (\frac{3 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})} \cdot 5

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Diagonal of Hexadecagon across Three Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

d 3 = 14.2387953251129m

LAST Step Rounding Answer

∴

d 3 = 14.2388m

Diagonal of Hexadecagon across Three 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

Side of Hexadecagon

Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side 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 in Diagonal of Hexadecagon across Three Sides category

Go Diagonal of Hexadecagon across Eight Sides

d 8 = \frac{S}{\sin (\frac{π}{16})}

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 Four Sides

d 4 = \frac{S}{\sqrt{2} \cdot \sin (\frac{π}{16})}

Go Diagonal of Hexadecagon across Seven Sides

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

How to Evaluate Diagonal of Hexadecagon across Three Sides?

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

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

FAQs on Diagonal of Hexadecagon across Three Sides

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

The formula of Diagonal of Hexadecagon across Three Sides is expressed as Diagonal across Three Sides of Hexadecagon = sin((3*pi)/16)/sin(pi/16)*Side of Hexadecagon. Here is an example- 14.2388 = sin((3*pi)/16)/sin(pi/16)*5.

How to calculate Diagonal of Hexadecagon across Three Sides?

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

Can the Diagonal of Hexadecagon across Three Sides be negative?

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

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

Diagonal of Hexadecagon 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 Three Sides can be measured.

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