FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Diagonal of Hexadecagon across Four Sides given Perimeter Formula

GoDiagonal of Hexadecagon across Four Sides Formula

GoDiagonal of Hexadecagon across Four Sides given Area Formula

Fx Copy

LaTeX Copy

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

d 4 = \frac{1}{\sqrt{2} \cdot \sin (\frac{π}{16})} \cdot \frac{P}{16}

d₄ - Diagonal across Four Sides of Hexadecagon?P - Perimeter of Hexadecagon?π - Archimedes' constant?

Diagonal of Hexadecagon across Four Sides given Perimeter Example

With values

With units

Only example

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

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

Here is how the Diagonal of Hexadecagon across Four Sides given Perimeter equation looks like.

18.1225 = \frac{1}{\sqrt{2} \cdot \sin (\frac{3.1416}{16})} \cdot \frac{80}{16}

18.1225m = \frac{1}{\sqrt{2} \cdot \sin (\frac{3.1416}{16})} \cdot \frac{80m}{16}

18.1225 = \frac{1}{\sqrt{2} \cdot \sin (\frac{3.1416}{16})} \cdot \frac{80}{16}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Diagonal of Hexadecagon across Four Sides given Perimeter

Diagonal of Hexadecagon across Four Sides given Perimeter Solution

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

FIRST Step Consider the formula

d 4 = \frac{1}{\sqrt{2} \cdot \sin (\frac{π}{16})} \cdot \frac{P}{16}

Next Step Substitute values of Variables

∴

d 4 = \frac{1}{\sqrt{2} \cdot \sin (\frac{π}{16})} \cdot \frac{80m}{16}

Next Step Substitute values of Constants

∴

d 4 = \frac{1}{\sqrt{2} \cdot \sin (\frac{3.1416}{16})} \cdot \frac{80m}{16}

Next Step Prepare to Evaluate

∴

d 4 = \frac{1}{\sqrt{2} \cdot \sin (\frac{3.1416}{16})} \cdot \frac{80}{16}

Next Step Evaluate

∴

d 4 = 18.1225489270578m

LAST Step Rounding Answer

∴

d 4 = 18.1225m

Diagonal of Hexadecagon across Four Sides given Perimeter Formula Elements

Variables

Constants

Functions

Diagonal across Four Sides of Hexadecagon

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

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Four Sides 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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diagonal across Four Sides of Hexadecagon

Go Diagonal of Hexadecagon across Four Sides

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

Go Diagonal of Hexadecagon across Four Sides given Area

d 4 = \frac{1}{\sqrt{2} \cdot \sin (\frac{π}{16})} \cdot \sqrt{\frac{A}{4 \cdot \cot (\frac{π}{16})}}

Go Diagonal of Hexadecagon across Four Sides given Height

d 4 = \frac{h}{\sqrt{2} \cdot \sin (\frac{π}{16})} \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{7 \cdot π}{16})}

Go Diagonal of Hexadecagon across Four Sides given Circumradius

d 4 = \frac{1}{\sqrt{2} \cdot \sin (\frac{π}{16})} \cdot \frac{r c}{\sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}}}

How to Evaluate Diagonal of Hexadecagon across Four Sides given Perimeter?

Diagonal of Hexadecagon across Four Sides given Perimeter evaluator uses Diagonal across Four Sides of Hexadecagon = 1/(sqrt(2)*sin(pi/16))*Perimeter of Hexadecagon/16 to evaluate the Diagonal across Four Sides of Hexadecagon, The Diagonal of Hexadecagon across Four Sides given Perimeter formula is defined as the straight line connecting two non-adjacent vertices across four sides of the Hexadecagon, calculated using perimeter. Diagonal across Four Sides of Hexadecagon is denoted by d₄ symbol.

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

FAQs on Diagonal of Hexadecagon across Four Sides given Perimeter

What is the formula to find Diagonal of Hexadecagon across Four Sides given Perimeter?

The formula of Diagonal of Hexadecagon across Four Sides given Perimeter is expressed as Diagonal across Four Sides of Hexadecagon = 1/(sqrt(2)*sin(pi/16))*Perimeter of Hexadecagon/16. Here is an example- 18.12255 = 1/(sqrt(2)*sin(pi/16))*80/16.

How to calculate Diagonal of Hexadecagon across Four Sides given Perimeter?

With Perimeter of Hexadecagon (P) we can find Diagonal of Hexadecagon across Four Sides given Perimeter using the formula - Diagonal across Four Sides of Hexadecagon = 1/(sqrt(2)*sin(pi/16))*Perimeter of Hexadecagon/16. This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

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

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

Diagonal across Four Sides of Hexadecagon=Side of Hexadecagon/(sqrt(2)*sin(pi/16))
Diagonal across Four Sides of Hexadecagon=1/(sqrt(2)*sin(pi/16))*sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
Diagonal across Four Sides of Hexadecagon=Height of Hexadecagon/(sqrt(2)*sin(pi/16))*sin(pi/16)/sin((7*pi)/16)

Can the Diagonal of Hexadecagon across Four Sides given Perimeter be negative?

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

Which unit is used to measure Diagonal of Hexadecagon across Four Sides given Perimeter?

Diagonal of Hexadecagon across Four Sides given Perimeter 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 Four Sides given Perimeter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit