FormulaDen.com

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

Diagonal of Hexadecagon across Five Sides given Area Formula

GoDiagonal of Hexadecagon across Five Sides Formula

GoDiagonal of Hexadecagon across Five Sides given Height Formula

Fx Copy

LaTeX Copy

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

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

d₅ - Diagonal across Five Sides of Hexadecagon?A - Area of Hexadecagon?π - Archimedes' constant?

Diagonal of Hexadecagon across Five Sides given Area Example

With values

With units

Only example

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

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

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

21.2518 = \sqrt{\frac{500}{4 \cdot \cot (\frac{3.1416}{16})}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})}

21.2518m = \sqrt{\frac{500m²}{4 \cdot \cot (\frac{3.1416}{16})}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})}

21.2518 = \sqrt{\frac{500}{4 \cdot \cot (\frac{3.1416}{16})}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{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 Five Sides given Area

Diagonal of Hexadecagon across Five Sides given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 5 = \sqrt{\frac{500m²}{4 \cdot \cot (\frac{π}{16})}} \cdot \frac{\sin (\frac{5 \cdot π}{16})}{\sin (\frac{π}{16})}

Next Step Substitute values of Constants

∴

d 5 = \sqrt{\frac{500m²}{4 \cdot \cot (\frac{3.1416}{16})}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})}

Next Step Prepare to Evaluate

∴

d 5 = \sqrt{\frac{500}{4 \cdot \cot (\frac{3.1416}{16})}} \cdot \frac{\sin (\frac{5 \cdot 3.1416}{16})}{\sin (\frac{3.1416}{16})}

Next Step Evaluate

∴

d 5 = 21.2518408901228m

LAST Step Rounding Answer

∴

d 5 = 21.2518m

Diagonal of Hexadecagon across Five Sides given Area 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

Area of Hexadecagon

Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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)

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(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 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 Perimeter

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

Go Diagonal of Hexadecagon across Five Sides given Circumradius

d 5 = \frac{\sin (\frac{5 \cdot π}{16})}{\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 Five Sides given Area?

Diagonal of Hexadecagon across Five Sides given Area evaluator uses Diagonal across Five Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((5*pi)/16)/sin(pi/16) to evaluate the Diagonal across Five Sides of Hexadecagon, Diagonal of Hexadecagon across Five Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across five sides of a Hexadecagon, calculated using the area. Diagonal across Five Sides of Hexadecagon is denoted by d₅ symbol.

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

FAQs on Diagonal of Hexadecagon across Five Sides given Area

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

The formula of Diagonal of Hexadecagon across Five Sides given Area is expressed as Diagonal across Five Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((5*pi)/16)/sin(pi/16). Here is an example- 21.25184 = sqrt(500/(4*cot(pi/16)))*sin((5*pi)/16)/sin(pi/16).

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

With Area of Hexadecagon (A) we can find Diagonal of Hexadecagon across Five Sides given Area using the formula - Diagonal across Five Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((5*pi)/16)/sin(pi/16). This formula also uses Archimedes' constant and , Sine (sin), Cotangent (cot), Square Root (sqrt) 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=sin((5*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/16

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit